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LSA Course Guide Search Results: UG, GR, Fall 2007, Dept = MATH
 
Page 1 of 1, Results 1 — 289 of 289
Title
Section
Instructor
Term
Credits
Requirements
MATH 103 — Intermediate Algebra
Section 201, LEC

FA 2007
Credits: 2

Credit Exclusions: A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Review of elementary algebra; rational and quadratic equations; properties of relations, functions, and their graphs; linear and quadratic functions; inequalities, logarithmic and exponential functions and equations. Equivalent to the first year of Math. 105/106.

Advisory Prerequisite: Only open to designated summer half-term Bridge students.

MATH 103 — Intermediate Algebra
Section 202, LEC

FA 2007
Credits: 2

Credit Exclusions: A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Review of elementary algebra; rational and quadratic equations; properties of relations, functions, and their graphs; linear and quadratic functions; inequalities, logarithmic and exponential functions and equations. Equivalent to the first year of Math. 105/106.

Advisory Prerequisite: Only open to designated summer half-term Bridge students.

MATH 105 — Data, Functions, and Graphs
Section 001, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 002, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 003, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 004, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 005, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 007, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 008, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 009, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 011, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 012, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 013, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 014, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 015, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 017, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 018, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 019, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 021, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 022, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 023, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 024, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 025, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 026, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 027, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 028, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 029, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 030, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 031, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 032, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 170, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 171, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 172, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 173, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 174, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 105 — Data, Functions, and Graphs
Section 175, LEC

FA 2007
Credits: 4
Reqs: MSA, QR/1

Credit Exclusions: Students with credit for MATH 103 can elect MATH 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: MATH 105 serves both as a preparatory class to the calculus sequences and as a terminal course for students who need only this level of mathematics. Students who successfully complete MATH 105 are fully prepared for MATH 115.

Content: This is a course on analyzing data by means of functions and graphs. The emphasis is on mathematical modeling of real-world applications. The functions used are linear, quadratic, polynomial, logarithmic, exponential, and trigonometric. Algebra skills are assessed during the term by periodic testing. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 110 (Pre-Calculus (Self-Paced)) is a condensed half-term version of the same material offered as a self-study course through the Math Lab.

Subsequent Courses: The course prepares students for MATH 115.

MATH 110 — Pre-Calculus (Self-Study)
Section 001, LAB

FA 2007
Credits: 2

Credit Exclusions: No credit granted to those who already have 4 credits for pre-calculus mathematics courses. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: Math 110 is a condensed, half-term version of Math 105 designed specifically to prepare students for Math 115. It is open only to students who have enrolled in Math 115 and whose performance on the first uniform examination indicates that they will have difficulty completing that course successfully. This self-study course begins shortly after the first uniform examination in Math 115, and is completed under the guidance of an instructor without regular classroom meetings. Students must receive permission from the Math 115 Course Director or other designated representative to enroll in the course, and must visit the Math Lab as soon as possible after enrolling to receive printed course information. Enrollment opens the day after the first Math 115 uniform examination, and must be completed by the Friday of the following week.

Content: The course is a condensed, half-term version of Math 105 designed for students who appear to be prepared to handle calculus but are not able to successfully complete Math 115. Students may enroll in Math 110 only on the recommendation of a mathematics instructor after the third week of classes in the Fall and must visit the Math Lab to complete paperwork and receive course materials. The course covers data analysis by means of functions and graphs.

Alternatives: Math 105 (Data, Functions and Graphs) covers the same material in a traditional classroom setting.

Subsequent Courses: The course prepares students for Math 115.

Advisory Prerequisite: MATH 110 is by recommendation or permission of MATH 115 instructor.

MATH 110 — Pre-Calculus (Self-Study)
Section 002, LAB

FA 2007
Credits: 2

Credit Exclusions: No credit granted to those who already have 4 credits for pre-calculus mathematics courses. A maximum of four credits may be earned in MATH 101, 103, 105, and 110.

Background and Goals: Math 110 is a condensed, half-term version of Math 105 designed specifically to prepare students for Math 115. It is open only to students who have enrolled in Math 115 and whose performance on the first uniform examination indicates that they will have difficulty completing that course successfully. This self-study course begins shortly after the first uniform examination in Math 115, and is completed under the guidance of an instructor without regular classroom meetings. Students must receive permission from the Math 115 Course Director or other designated representative to enroll in the course, and must visit the Math Lab as soon as possible after enrolling to receive printed course information. Enrollment opens the day after the first Math 115 uniform examination, and must be completed by the Friday of the following week.

Content: The course is a condensed, half-term version of Math 105 designed for students who appear to be prepared to handle calculus but are not able to successfully complete Math 115. Students may enroll in Math 110 only on the recommendation of a mathematics instructor after the third week of classes in the Fall and must visit the Math Lab to complete paperwork and receive course materials. The course covers data analysis by means of functions and graphs.

Alternatives: Math 105 (Data, Functions and Graphs) covers the same material in a traditional classroom setting.

Subsequent Courses: The course prepares students for Math 115.

Advisory Prerequisite: MATH 110 is by recommendation or permission of MATH 115 instructor.

MATH 115 — Calculus I
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 004, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 005, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 006, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 007, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 009, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 010, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 011, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 012, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 013, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 014, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 015, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 016, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 017, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 018, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 019, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 021, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 022, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 023, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 024, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 025, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 026, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 027, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 028, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 029, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 030, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 031, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 032, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 033, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 034, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 035, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 036, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 037, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 038, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 039, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 040, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 041, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 042, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 043, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 044, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 045, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 046, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 047, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 049, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 051, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 052, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 053, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 054, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 055, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 056, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 057, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 058, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 059, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 060, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 062, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 064, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 065, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 066, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 170, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 115 — Calculus I
Section 171, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. All sections are given a uniform midterm and final exam.

Content: The course presents the concepts of calculus from three points of view: geometric (graphs); numerical (tables); and algebraic (formulas). Students will develop their reading, writing and questioning skills. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and definite integrals. The classroom atmosphere is interactive and cooperative and homework is done in groups.

Alternatives: MATH 185 (Honors Anal. Geom. and Calc. I ) is a somewhat more theoretical course which covers some of the same material. Math 175 (Combinatorics and Calculus) is a non-calculus alternative for students with a good command of first-semester calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course. A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).

Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the honors sequence at this point by taking MATH 186 (Honors Anal. Geom. and Calc. II).

Advisory Prerequisite: Four years of high school mathematics.

MATH 116 — Calculus II
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 004, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 005, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 006, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 007, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 008, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 009, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 010, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 011, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 012, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 013, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 014, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 016, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 017, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 018, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 019, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 021, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 022, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 023, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 024, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 027, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 028, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 029, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 030, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 031, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 035, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 116 — Calculus II
Section 036, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit is granted for only one course among MATH 116, 119, 156, 176, and 186

See MATH 115 for a general description of the sequence MATH 115-116-215.

Topics include the indefinite integral, techniques of integration, introduction to differential equations, and infinite series. MATH 186 is a somewhat more theoretical course which covers much of the same material. MATH 215 is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 285.

Text: Calculus, 3rd Edition, Hughes-Hallet/Gleason, Wiley Publishing. TI-83 Graphing Calculator, Texas Instruments.

Advisory Prerequisite: MATH 115.

MATH 128 — Explorations in Number Theory
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: FYSem

Credit Exclusions: No credit granted to those who have completed a 200- (or higher) level mathematics course (except for MATH 385 and 485)

Designed for non-science concentrators and students with no intended concentration who want to learn how to think mathematically without having to take calculus first. Students are introduced to the ideas of Number Theory through lectures and experimentation by using software to investigate numerical phenomena, and to make conjectures that they try to prove.

Advisory Prerequisite: High school mathematics through at least Analytic Geometry. Only first-year students, including those with sophomore standing, may pre-register for First-Year Seminars. All others need permission of instructor.

MATH 145 — Houghton Scholars Calculus Workshop I
Section 001, LAB

FA 2007
Credits: 2

Each section of the two workshops for which course approval is requested will be limited to 18 students, who will be required to be concurrently enrolled in Math 115 or 116, respectively, for DHSP Workshops I and II. The students will work together in groups of size three or four on very challenging problems that will develop their conceptual understanding of calculus and skill at solving difficult multistep problems. The workshops will meet for four hours per week, in two class meetings of two hours each. As is common with the ESP model, little or no graded homework will be assigned, although the problems on which the students work will be challenging enough that they will not always finish them during class time. The experience of other ESP programs has been that in many, perhaps most, cases, they will continue to work on them outside of class rather than wait until the next class period to finish them. Grading will be CR/NC, with intensive participation in class being the key element in receiving credit. As Treisman himself has pointed out, implementation of this program at UM will have some particular challenges, since the standard UM calculus sequence has already incorporated some of the elements of ESP programs, particularly the group work in class on problems. However, the problems selected for the DHSP workshop sections will be particularly challenging, multistep exercises that will extend the students beyond what they will generally experience in their regular calculus sections. An extensive evaluation of the program, directed by mathematics educator Vilma Mesa of UM's School of Education, will be conducted, and the future direction of the program will be guided by the results of that evaluation.

Intended audience: Students in the Douglass Houghton Scholars Program. Class Format: 2 workshops per week, each lasting 2 hours

Course Requirements: Students will be evaluated on the basis of attendance and participation in activities during scheduled sessions.

Advisory Prerequisite: Concurrent enrollment in MATH 115

MATH 145 — Houghton Scholars Calculus Workshop I
Section 002, LAB

FA 2007
Credits: 2

Each section of the two workshops for which course approval is requested will be limited to 18 students, who will be required to be concurrently enrolled in Math 115 or 116, respectively, for DHSP Workshops I and II. The students will work together in groups of size three or four on very challenging problems that will develop their conceptual understanding of calculus and skill at solving difficult multistep problems. The workshops will meet for four hours per week, in two class meetings of two hours each. As is common with the ESP model, little or no graded homework will be assigned, although the problems on which the students work will be challenging enough that they will not always finish them during class time. The experience of other ESP programs has been that in many, perhaps most, cases, they will continue to work on them outside of class rather than wait until the next class period to finish them. Grading will be CR/NC, with intensive participation in class being the key element in receiving credit. As Treisman himself has pointed out, implementation of this program at UM will have some particular challenges, since the standard UM calculus sequence has already incorporated some of the elements of ESP programs, particularly the group work in class on problems. However, the problems selected for the DHSP workshop sections will be particularly challenging, multistep exercises that will extend the students beyond what they will generally experience in their regular calculus sections. An extensive evaluation of the program, directed by mathematics educator Vilma Mesa of UM's School of Education, will be conducted, and the future direction of the program will be guided by the results of that evaluation.

Intended audience: Students in the Douglass Houghton Scholars Program. Class Format: 2 workshops per week, each lasting 2 hours

Course Requirements: Students will be evaluated on the basis of attendance and participation in activities during scheduled sessions.

Advisory Prerequisite: Concurrent enrollment in MATH 115

MATH 147 — Introduction to Interest Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS, MSA

Credit Exclusions: No credit granted to those who have completed a 200- (or higher) level mathematics course.

Background and Goals: This course is designed for students who seek an introduction to the mathematical concepts and techniques employed by financial institutions such as banks, insurance companies, and pension funds. Actuarial students, and other mathematics concentrators, should elect Math 424 which covers the same topics but on a more rigorous basis requiring considerable use of calculus. The course is not part of a sequence. Students should possess financial calculators.

Content: Topics covered include: various rates of simple and compound interest, present and accumulated values based on these; annuity functions and their application to amortization, sinking funds and bond values; depreciation methods; introduction to life tables, life annuity, and life insurance values.

Alternatives: Math 424 (Compound Interest and Life Ins) covers the same material in greater depth and with a higher level of mathematical content.

Subsequent Courses: none

Advisory Prerequisite: Three to four years high school mathematics.

MATH 156 — Applied Honors Calculus II
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 156 — Applied Honors Calculus II
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 156 — Applied Honors Calculus II
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 156 — Applied Honors Calculus II
Section 005, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 156 — Applied Honors Calculus II
Section 006, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 156 — Applied Honors Calculus II
Section 007, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 116, 119, 156, 176, and 186

Background and Goals: The sequence MATH 156-255-256 is an Honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g., equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: MATH 216 (Intro. To Differential Equations) or MATH 286 (Honors Differential Equations).

Subsequent Courses: Many upper-level courses.

Advisory Prerequisite: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam.

MATH 174 — Plane Geometry: An Introduction to Proofs
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors, FYSem

Credit Exclusions: No credit granted to those who have completed a 200-level or higher Mathematics course.

This course introduces students to rigorous mathematical thinking, and writing proofs using plane geometry.

Background and Goals: The course will be very interactive, eliciting suggestions towards proof from the students so that all the problems are eventually solved by a joint effort between the students and the instructor. The format has worked well in the past for honors courses. To enhance the visualization, we plan to develop software for two-dimensional geometric constructions. This software will be able to produce multi-color pictures if geometric configurations. In the long run, such software will save us time in creating problem sets, handouts and perhaps slides. Additional topics may be added depending on the interest and abilities of the students.

Content: A good text for the course is already available: the classic "Geometry Revisited" by Coxter and Greitzer, which contains a wonderful exposition of the material and has suitable exercises. As a precursor to the mathematics, the course will use familiar games such as the old game Mastermind where player A has a code which player B has to use. Students will pair off and play the game, with the important additional feature that the guesser must write down what(s) he knows and can deduce after each guess, and therefore motivate his/her next guess. This should help set the mood and instill the idea of analyzing the facts at hand and making logical deductions. After this the course will develop some basic theorems of Euclidean geometry. An example of such a theorem is that the angle bisectors (or medians, or altitudes, or perpendicular bisectors) of a triangle are concurrent. These results are fairly straightforward but exemplify the spirit of the course by providing a good introduction to rigorous proofs, Then we move to some more difficult but beautiful theorems from geometry such as Ceva's theorem, the Euler line, the nine-point circle theorem, Ptolemy's theorem and Morley's theorem.

Alternatives: none

Subsequent Courses: none

Advisory Prerequisite: Permission of Honors Advisor

MATH 175 — An Introduction to Cryptology
Section 001, LEC

Instructor: Petersen,Thomas Kyle

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: FYSem, Honors

Credit Exclusions: No credit granted to those who have completed a 200-level or higher Mathematics course.

Introduces students to the science of constructing and attacking secret codes. An important goal is to present the mathematical tools — from combinatorics, number theory, and probability — that underlie cryptologic methods.

Background and Goals: This course is an alternative to MATH 185 as an entry to the Honors sequence. Students are expected to have previous experience with the basic concepts and techniques of first-semester calculus. The course stresses discovery as a vehicle for learning. Students will be required to experiment throughout the course on a range of problems and will participate each semester in a group project. Grades will be based on homework and projects with a strong emphasis on homework. Personal computers will be a valuable experimental tool in this course and students will be asked to learn to program in either BASIC, PASCAL or FORTRAN.

Content: This course gives a historical introduction to Cryptology and introduces a number of mathematical ideas and results involved in the development and analysis of secret codes. The course begins with the study of permutation-based codes: substitutional ciphers, transpositional codes, and more complex polyalphabetic substitutions. The mathematical subjects treated in this section include enumeration, modular arithmetic and some elementary statistics. The subject then moves to bit stream encryption methods. These include block cipher schemes such as the Data Encryption Standard. The mathematical concepts introduced here are recurrence relations and some more advanced statistical results. The final part of the course is devoted to public key encryption, including Diffie-Hellman key exchange, RSA and Knapsack codes. The mathematical tools come from elementary number theory.

Alternatives: MATH 115 (Calculus I), MATH 185 (Honors Calculus I), or MATH 295 (Honors Mathematics I).

Subsequent Courses: MATH 176 (Dynamical Systems and Calculus), MATH 186 (Honors Calculus II), or MATH 116 (Calculus II).

Advisory Prerequisite: PER.DEPT.

MATH 185 — Honors Calculus I
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to calculus at the honors level. It is not appropriate for students who have received scores of 4 on the AB, or 4 or 5 on the BC, Advanced Placement exam (those students should elect Math 156 or Math 295). It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics covered include functions and graphs, limits, derivatives, differentiation of algebraic and trigonometric functions and applications, definite and indefinite integrals and applications. Other topics will be included at the discretion of the instructor. Alternatives: Math 115 (Calculus I) is a somewhat less theoretical course which covers much of the same material. Math 295 (Honors Mathematics I) gives a much more theoretical treatment of much of the same material.

Subsequent Courses: Math 186 (Honors Anal. Geom. and Calc. II) is the natural sequel.

Advisory Prerequisite: Permission of the Honors advisor.

MATH 185 — Honors Calculus I
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to calculus at the honors level. It is not appropriate for students who have received scores of 4 on the AB, or 4 or 5 on the BC, Advanced Placement exam (those students should elect Math 156 or Math 295). It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics covered include functions and graphs, limits, derivatives, differentiation of algebraic and trigonometric functions and applications, definite and indefinite integrals and applications. Other topics will be included at the discretion of the instructor. Alternatives: Math 115 (Calculus I) is a somewhat less theoretical course which covers much of the same material. Math 295 (Honors Mathematics I) gives a much more theoretical treatment of much of the same material.

Subsequent Courses: Math 186 (Honors Anal. Geom. and Calc. II) is the natural sequel.

Advisory Prerequisite: Permission of the Honors advisor.

MATH 185 — Honors Calculus I
Section 004, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit is granted for only one course from among MATH 115, and 185.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to calculus at the honors level. It is not appropriate for students who have received scores of 4 on the AB, or 4 or 5 on the BC, Advanced Placement exam (those students should elect Math 156 or Math 295). It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics covered include functions and graphs, limits, derivatives, differentiation of algebraic and trigonometric functions and applications, definite and indefinite integrals and applications. Other topics will be included at the discretion of the instructor. Alternatives: Math 115 (Calculus I) is a somewhat less theoretical course which covers much of the same material. Math 295 (Honors Mathematics I) gives a much more theoretical treatment of much of the same material.

Subsequent Courses: Math 186 (Honors Anal. Geom. and Calc. II) is the natural sequel.

Advisory Prerequisite: Permission of the Honors advisor.

MATH 214 — Linear Algebra and Differential Equations
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: An introduction to matrices and linear algebra. This course covers the basics needed to understand a wide variety of applications that use the ideas of linear algebra, from linear programming to mathematical economics. The emphasis is on concepts and problem solving. The course is designed as an alternative to Math 216 for students who need more linear algebra and less differential equations background than provided in 216.

Content: An introduction to the main concepts of linear algebra… matrix operations, echelon form, solution of systems of linear equations, Euclidean vector spaces, linear combinations, independence and spans of sets of vectors in Euclidean space, eigenvectors and eigenvalues, similarity theory. There are applications to discrete Markov processes, linear programming, and solutions of linear differential equations with constant coefficients.

Alternatives: Math 419 (Linear Spaces and Matrix Theory) has a somewhat more theoretical emphasis. Math 217 is a more theoretical course which covers much of the material of Math 214 at a deeper level. Math 513 (Intro. to Linear Algebra) is a honors version of this course. Mathematics majors are required to take Math 217 or Math 513.

Subsequent Courses: Math 420 (Matrix algebra II), Linear programming (Math 561), Mathematical Modeling (Math 462), Math 571 (Numer. method. For Sci).

Advisory Prerequisite: MATH 115 and 116. Most students take only one course from among MATH 214, 217, 417, 419, and 513.

MATH 214 — Linear Algebra and Differential Equations
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: An introduction to matrices and linear algebra. This course covers the basics needed to understand a wide variety of applications that use the ideas of linear algebra, from linear programming to mathematical economics. The emphasis is on concepts and problem solving. The course is designed as an alternative to Math 216 for students who need more linear algebra and less differential equations background than provided in 216.

Content: An introduction to the main concepts of linear algebra… matrix operations, echelon form, solution of systems of linear equations, Euclidean vector spaces, linear combinations, independence and spans of sets of vectors in Euclidean space, eigenvectors and eigenvalues, similarity theory. There are applications to discrete Markov processes, linear programming, and solutions of linear differential equations with constant coefficients.

Alternatives: Math 419 (Linear Spaces and Matrix Theory) has a somewhat more theoretical emphasis. Math 217 is a more theoretical course which covers much of the material of Math 214 at a deeper level. Math 513 (Intro. to Linear Algebra) is a honors version of this course. Mathematics majors are required to take Math 217 or Math 513.

Subsequent Courses: Math 420 (Matrix algebra II), Linear programming (Math 561), Mathematical Modeling (Math 462), Math 571 (Numer. method. For Sci).

Advisory Prerequisite: MATH 115 and 116. Most students take only one course from among MATH 214, 217, 417, 419, and 513.

MATH 215 — Calculus III
Section 010, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 030, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 040, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 050, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 060, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 070, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 080, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 215 — Calculus III
Section 090, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

Alternatives: Math 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. Math 255 (Applied Honors Calculus III) is also an alternative.

Subsequent Courses: For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take Math 216 (Intro. to Differential Equations).

Advisory Prerequisite: MATH 116

MATH 216 — Introduction to Differential Equations
Section 010, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 216 — Introduction to Differential Equations
Section 020, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 216 — Introduction to Differential Equations
Section 030, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 216 — Introduction to Differential Equations
Section 040, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 216 — Introduction to Differential Equations
Section 050, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 216 — Introduction to Differential Equations
Section 060, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or MATH 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316.

Content: MATH 216 is a basic course on differential equations, intended for engineers and other scientists who need to apply the techniques in their work. The lectures are accompanied by a computer lab and recitation section where students have the opportunity to discuss problems and work through computer experiments to further develop their understanding of the concepts of the class. Topics covered include some material on complex numbers and matrix algebra, first and second order linear and non-linear systems with applications, introductory numerical methods, and elementary Laplace transform techniques.

Alternatives: MATH 286 (Honors Differential Equations) covers much of the same material in the honors sequence. The sequence MATH 217 (Linear Algebra)-MATH 316 (Differential Equations) covers all of this material and substantially more at greater depth and with greater emphasis on the theory. MATH 256 (Applied Honors Calculus IV) is also an alternative.

Subsequent Courses: MATH 404 (Intermediate Diff. Eq.) covers further material on differential equations. MATH 217 (Linear Algebra) and MATH 417 (Matrix Algebra I) cover further material on linear algebra. MATH 371 ((ENGR 303) Numerical Methods) and MATH 471 (Intro. To Numerical Methods) cover additional material on numerical methods.

Advisory Prerequisite: MATH 116, 119, 156, 176, 186, or 296.

MATH 217 — Linear Algebra
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316. These courses are explicitly designed to introduce the student to both the concepts and applications of their subjects and to the methods by which the results are proved.

Content: The topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and subspaces; geometry of Rn; linear dependence, bases, and dimension; linear transformations; Eigenvalues and Eigenvectors; diagonalization; inner products. Throughout there will be emphasis on the concepts, logic, and methods of theoretical mathematics.

Alternatives: MATH 214, 417 and 419 cover similar material with more emphasis on computation and applications and less emphasis on proofs. MATH 513 covers more in a much more sophisticated way.

Subsequent Courses: The intended course to follow MATH 217 is MATH 316 (Differential Equations). MATH 217 is also prerequisite for MATH 312 (Applied Modern Algebra), MATH 412 (Introduction to Modern Algebra) and all more advanced courses in mathematics.

Advisory Prerequisite: MATH 215, 255, or 285. Most students take only one course from MATH 214, 217, 417, 419, and 513.

MATH 217 — Linear Algebra
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316. These courses are explicitly designed to introduce the student to both the concepts and applications of their subjects and to the methods by which the results are proved.

Content: The topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and subspaces; geometry of Rn; linear dependence, bases, and dimension; linear transformations; Eigenvalues and Eigenvectors; diagonalization; inner products. Throughout there will be emphasis on the concepts, logic, and methods of theoretical mathematics.

Alternatives: MATH 214, 417 and 419 cover similar material with more emphasis on computation and applications and less emphasis on proofs. MATH 513 covers more in a much more sophisticated way.

Subsequent Courses: The intended course to follow MATH 217 is MATH 316 (Differential Equations). MATH 217 is also prerequisite for MATH 312 (Applied Modern Algebra), MATH 412 (Introduction to Modern Algebra) and all more advanced courses in mathematics.

Advisory Prerequisite: MATH 215, 255, or 285. Most students take only one course from MATH 214, 217, 417, 419, and 513.

MATH 217 — Linear Algebra
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316. These courses are explicitly designed to introduce the student to both the concepts and applications of their subjects and to the methods by which the results are proved.

Content: The topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and subspaces; geometry of Rn; linear dependence, bases, and dimension; linear transformations; Eigenvalues and Eigenvectors; diagonalization; inner products. Throughout there will be emphasis on the concepts, logic, and methods of theoretical mathematics.

Alternatives: MATH 214, 417 and 419 cover similar material with more emphasis on computation and applications and less emphasis on proofs. MATH 513 covers more in a much more sophisticated way.

Subsequent Courses: The intended course to follow MATH 217 is MATH 316 (Differential Equations). MATH 217 is also prerequisite for MATH 312 (Applied Modern Algebra), MATH 412 (Introduction to Modern Algebra) and all more advanced courses in mathematics.

Advisory Prerequisite: MATH 215, 255, or 285. Most students take only one course from MATH 214, 217, 417, 419, and 513.

MATH 217 — Linear Algebra
Section 004, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316. These courses are explicitly designed to introduce the student to both the concepts and applications of their subjects and to the methods by which the results are proved.

Content: The topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and subspaces; geometry of Rn; linear dependence, bases, and dimension; linear transformations; Eigenvalues and Eigenvectors; diagonalization; inner products. Throughout there will be emphasis on the concepts, logic, and methods of theoretical mathematics.

Alternatives: MATH 214, 417 and 419 cover similar material with more emphasis on computation and applications and less emphasis on proofs. MATH 513 covers more in a much more sophisticated way.

Subsequent Courses: The intended course to follow MATH 217 is MATH 316 (Differential Equations). MATH 217 is also prerequisite for MATH 312 (Applied Modern Algebra), MATH 412 (Introduction to Modern Algebra) and all more advanced courses in mathematics.

Advisory Prerequisite: MATH 215, 255, or 285. Most students take only one course from MATH 214, 217, 417, 419, and 513.

MATH 217 — Linear Algebra
Section 005, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Background and Goals: For a student who has completed the calculus sequence, there are two sequences which deal with linear algebra and differential equations, MATH 216-417 (or 419) and MATH 217-316. The sequence MATH 216-417 emphasizes problem-solving and applications and is intended for students of Engineering and the sciences. Math majors and other students who have some interest in the theory of mathematics should elect the sequence MATH 217-316. These courses are explicitly designed to introduce the student to both the concepts and applications of their subjects and to the methods by which the results are proved.

Content: The topics covered include: systems of linear equations; matrix algebra; vectors, vector spaces, and subspaces; geometry of Rn; linear dependence, bases, and dimension; linear transformations; Eigenvalues and Eigenvectors; diagonalization; inner products. Throughout there will be emphasis on the concepts, logic, and methods of theoretical mathematics.

Alternatives: MATH 214, 417 and 419 cover similar material with more emphasis on computation and applications and less emphasis on proofs. MATH 513 covers more in a much more sophisticated way.

Subsequent Courses: The intended course to follow MATH 217 is MATH 316 (Differential Equations). MATH 217 is also prerequisite for MATH 312 (Applied Modern Algebra), MATH 412 (Introduction to Modern Algebra) and all more advanced courses in mathematics.

Advisory Prerequisite: MATH 215, 255, or 285. Most students take only one course from MATH 214, 217, 417, 419, and 513.

MATH 256 — Applied Honors Calculus IV
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: The sequence 156-255-256 is an honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g. equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: Math 216 (Intro. To Differential Equations) or Math 286 (Honors Differential Subsequent Courses: Many upper-level courses

Advisory Prerequisite: MATH 255.

MATH 256 — Applied Honors Calculus IV
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: The sequence 156-255-256 is an honors calculus sequence intended for engineering and science majors who scored 4 or 5 on the AB or BC Advanced Placement calculus exam. Applications will be stressed, but some theory will also be included.

Content: Topics include linear algebra, matrices, systems of differential equations, initial and boundary value problems, qualitative theory of dynamical systems (e.g. equilibria, phase space, stability, bifurcations), nonlinear equations, numerical methods. MAPLE will be used throughout.

Alternatives: Math 216 (Intro. To Differential Equations) or Math 286 (Honors Differential Subsequent Courses: Many upper-level courses

Advisory Prerequisite: MATH 255.

MATH 285 — Honors Calculus III
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to the calculus at the honors level. It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation, maximum-minimum problems; line, surface, and volume integrals and applications; vector fields and integration; curl, divergence, and gradient; Green's Theorem and Stokes' Theorem. Additional topics may be added at the discretion of the instructor.

Alternatives: Math 215 (Calculus III) is a less theoretical course which covers the same material. Math 255 (Applied Honors Calc. III) is an applications-oriented honors course which covers much of the same material.

Subsequent Courses: Math 216 (Intro. To Differential Equations), Math 286 (Honors Differential Equations) or Math 217 (Linear Algebra).

Advisory Prerequisite: MATH 176 or 186, or permission of the Honors advisor.

MATH 285 — Honors Calculus III
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to the calculus at the honors level. It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation, maximum-minimum problems; line, surface, and volume integrals and applications; vector fields and integration; curl, divergence, and gradient; Green's Theorem and Stokes' Theorem. Additional topics may be added at the discretion of the instructor.

Alternatives: Math 215 (Calculus III) is a less theoretical course which covers the same material. Math 255 (Applied Honors Calc. III) is an applications-oriented honors course which covers much of the same material.

Subsequent Courses: Math 216 (Intro. To Differential Equations), Math 286 (Honors Differential Equations) or Math 217 (Linear Algebra).

Advisory Prerequisite: MATH 176 or 186, or permission of the Honors advisor.

MATH 285 — Honors Calculus III
Section 003, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to the calculus at the honors level. It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation, maximum-minimum problems; line, surface, and volume integrals and applications; vector fields and integration; curl, divergence, and gradient; Green's Theorem and Stokes' Theorem. Additional topics may be added at the discretion of the instructor.

Alternatives: Math 215 (Calculus III) is a less theoretical course which covers the same material. Math 255 (Applied Honors Calc. III) is an applications-oriented honors course which covers much of the same material.

Subsequent Courses: Math 216 (Intro. To Differential Equations), Math 286 (Honors Differential Equations) or Math 217 (Linear Algebra).

Advisory Prerequisite: MATH 176 or 186, or permission of the Honors advisor.

MATH 285 — Honors Calculus III
Section 004, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: Credit can be earned for only one of MATH 215, 255, or 285.

Background and Goals: The sequence Math 185-186-285-286 is an introduction to the calculus at the honors level. It is taken by students intending to major in mathematics, science, or engineering as well as students heading for many other fields who want a somewhat more theoretical approach. Although much attention is paid to concepts and solving problems, the underlying theory and proofs of important results are also included. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation, maximum-minimum problems; line, surface, and volume integrals and applications; vector fields and integration; curl, divergence, and gradient; Green's Theorem and Stokes' Theorem. Additional topics may be added at the discretion of the instructor.

Alternatives: Math 215 (Calculus III) is a less theoretical course which covers the same material. Math 255 (Applied Honors Calc. III) is an applications-oriented honors course which covers much of the same material.

Subsequent Courses: Math 216 (Intro. To Differential Equations), Math 286 (Honors Differential Equations) or Math 217 (Linear Algebra).

Advisory Prerequisite: MATH 176 or 186, or permission of the Honors advisor.

MATH 288 — Math Modeling Workshop
Section 001, SEM

FA 2007
Credits: 1

Background and Goals: This course is designed to help students understand more clearly how techniques from other undergraduate mathematics courses can be used in concert to solve real-world problems. After the first two lectures the class will discuss methods of attacking problems. For credit a student will have to describe and solve an individual problem and write a report on the solution. Computing methods will be used.

Content: During the weekly workshop students will be presented with real-world problems on which techniques of undergraduate mathematics offer insights. They will see examples of (1) how to approach and set up a given modeling problem systematically, (2) how to use mathematical techniques to begin a solution of the problem, (3) what to do about the loose ends that can't be solved, and (4) how to present the solution to others. Students will have a chance to use the skills developed by participating in the UM Undergraduate Math Modeling Meet.

Alternatives: Math 462 (Mathematical Models) is a formal course in mathematical modeling.

Advisory Prerequisite: MATH 216, 256, 286, or 316, and MATH 214, 217, 417, or 419

MATH 289 — Problem Seminar
Section 001, SEM

FA 2007
Credits: 1
Reqs: BS

Background and Goals: One of the best ways to develop mathematical abilities is by solving problems using a variety of methods. Familiarity with numerous methods is a great asset to the developing student of mathematics. Methods learned in attacking a specific problem frequently find application in many other areas of mathematics. In many instances an interest in and appreciation of mathematics is better developed by solving problems than by hearing formal lectures on specific topics. The student has an opportunity to participate more actively in his/her education and development. This course is intended for superior students who have exhibited both ability and interest in doing mathematics, but it is not restricted to honors students. This course is excellent preparation for the Putnam competition.

Content: Students and one or more faculty and graduate student assistants will meet in small groups to explore problems in many different areas of mathematics. Problems will be selected according to the interests and background of the students.

Alternatives: none

MATH 295 — Honors Mathematics I
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS, MSA, QR/1
Other: Honors

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 185.

Background and Goals: Math 295-296-395-396 is the most theoretical and demanding honors calculus sequence. The emphasis is on concepts, problem solving, as well as the underlying theory and proofs of important results. It provides an excellent background for advanced courses in mathematics. The expected background is high school trigonometry and algebra (previous calculus not required, but helpful). This sequence is not restricted to students enrolled in the LSA Honors program. Math 295 and 296 may be substituted for any Math 451 requirement. Math 296 and 395 may be substituted for any Math 513 requirement.

Content: Real functions, limits, continuous functions, limits of sequences, complex numbers, derivatives, indefinite integrals and applications, some linear algebra.

Alternatives: Math 156 (Applied Honors Calc II), Math 175 (Combinatorics and Calculus) and Math 185 (Honors Anal. Geom. and Calc. I) are alternative honors courses.

Subsequent Courses: Math 296 (Honors Mathematics II)

Advisory Prerequisite: Prior knowledge of first year calculus and permission of the Honors advisor.

MATH 310 — Elementary Topics in Mathematics
Section 001, LEC
Mathematics of Card Shuffling

Instructor: Hanlon,Philip J; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: The Elementary Topics course may focus on any one of several topics. The material is presented at a level appropriate for sophomores and juniors without extensive coursework in math. The current offering of the course focuses on game theory.

Content: Students study the strategy of several games where mathematical ideas and concepts can play a role. Most of the course will be occupied with the structure of a variety of two person games of strategy: tic tac toe, tic tac toe misère, the French military game, hex, nim, the penny dime game, and many others. If there is sufficient interest students can study: dots and boxes, go-moku, and some aspects of checkers and chess. There will also be a brief introduction to the classical Von Neuman/Morgenstern theory of mixed strategy games.

Alternatives: none

Subsequent Courses: none

Advisory Prerequisite: Two years of high school mathematics.

MATH 312 — Applied Modern Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Only one credit granted to those who have completed MATH 412.

Background and Goals: One of the main goals of the course (along with every course in the algebra sequence) is to expose students to rigorous, proof-oriented mathematics. Students are required to have taken MATH 217, which should provide a first exposure to this style of mathematics. A distinguishing feature of this course is that the abstract concepts are not studied in isolation. Instead, each topic is studied with the ultimate goal being a real-world application.

Content: groups, rings, and fields, including modular arithmetic, polynomial rings, linear algebra over finite fields, and permutation groups. Applications from areas such as error-correcting codes, cryptography, computational algebra, and the Pólya method of enumeration.

Alternatives: MATH 412 (Introduction to Modern Algebra) is a more abstract and proof-oriented course with less emphasis on applications and is better preparation for most pure mathematics courses. MATH 567 is a more advanced course on coding theory.

Subsequent Courses: MATH 312 is one of the alternative prerequisites for MATH 416 (Theory of Algorithms), and several advanced EECS courses make substantial use of the material of MATH 312. Another good follow-up course is MATH 475 (Elementary Number Theory).

Advisory Prerequisite: MATH 217

MATH 316 — Differential Equations
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 216, 256, 286, or 316.

Background and Goals: This is an introduction to differential equations for students who have studied linear algebra (Math 217). It treats techniques of solution (exact and approximate), existence and uniqueness theorems, some qualitative theory, and many applications. Proofs are given in class; homework problems include both computational and more conceptually oriented problems.

Content: First-order equations: solutions, existence and uniqueness, and numerical techniques; linear systems: eigenvector-eigenvalue solutions of constant coefficient systems, fundamental matrix solutions, nonhomogeneous systems; higher-order equations, reduction of order, variation of parameters, series solutions; qualitative behavior of systems, equilibrium points, stability. Applications to physical problems are considered throughout.

Alternatives: Math 216 covers somewhat less material without presupposing linear algebra and with less emphasis on theory. Math 286 (Honors Differential Equations) is the honors version of Math 316.

Subsequent Courses: Math 471 (Intro. to Numerical Methods) and/or Math 572 (Numer. Meth. For Sci. Comput. III) are natural sequels in the area of differential equations, but Math 316 is also preparation for more theoretical courses such as Math 451 (Advanced Calculus I).

Advisory Prerequisite: MATH 215 and 217.

MATH 333 — Directed Tutoring
Section 001, LEC

FA 2007
Credits: 1 — 3
Other: Expr

An experiential mathematics course for students enrolled in the Secondary Teaching Certificate Program with a concentration in mathematics. Students would tutor pre-calculus (MATH 105) or calculus (MATH 115) in the Math. Lab. They would also participate in a weekly seminar to discuss mathematical and methodological questions.

Advisory Prerequisite: Enrollment in the secondary teaching certificate program with concentration in Mathematics and permission of instructor.

MATH 351 — Principles of Analysis
Section 001, LEC

Instructor: Mummert,Carl Beckhorn; homepage

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 451.

Background and Goals: The course content is similar to that of Math 451, but Math 351 assumes less background. This course covers topics that might be of greater use to students considering a Mathematical Sciences concentration or a minor in Math.

Content: Analysis of the real line, rational and irrational numbers, infinity — large and small, limits, convergence, infinite sequences and series, continuous functions, power series, and differentiation.

Alternatives: Math 451 covers similar topics while assuming more background than 351.

Subsequent Courses: none

Advisory Prerequisite: MATH 215 and 217.

MATH 354 — Fourier Analysis and its Applications
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 450 or 454.

Background and Goals: This course is an introduction to Fourier analysis with emphasis on applications. The course also can be viewed as a way of deepening one's understanding of the 100- and 200-level material by applying it in interesting ways.

Content: This is an introduction to Fourier analysis at an elementary level, emphasizing applications. The main topics are Fourier series, discrete Fourier transforms, and continuous Fourier transforms. A substantial portion of the time is spent on both scientific/technological applications (e.g. signal processing, Fourier optics), and applications in other branches of mathematics (e.g. partial differential equations, probability theory, number theory). Students will do some computer work, using MATLAB, an interactive programming tool that is easy to use, but no previous experience with computers is necessary.

Alternatives: Math 454 (Bound Val. Probs. for Part. Diff. Eq.) covers some of the same material with more emphasis on partial differential equations.

Subsequent Courses: This course is good preparation for Math 451 (Advanced Calculus I), which covers the theory of calculus in a mathematically rigorous way.

Advisory Prerequisite: MATH 216, 256, 286, or 316.

MATH 371 — Numerical Methods for Engineers and Scientists
Section 001, LEC

FA 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 471 or 472.

Background and Goals: This is a survey course of the basic numerical methods which are used to solve practical scientific problems. Important concepts such as accuracy, stability, and efficiency are discussed. The course provides an introduction to MATLAB, an interactive program for numerical linear algebra, and may provide practice in FORTRAN programming and the use of a software library subroutine. Convergence theorems are discussed and applied, but the proofs are not emphasized.

Content: Floating point arithmetic, Gaussian elimination, polynomial interpolation, spline approximations, numerical integration and differentiation, solutions to non-linear equations, ordinary differential equations, polynomial approximations. Other topics may include discrete Fourier transforms, two-point boundary-value problems, and Monte-Carlo methods.

Alternatives: Alternatives: Math 471 (Numerical Analysis) provides a more in-depth study of the same topics, with a greater emphasis on analyzing the accuracy and stability of the numerical methods. Math 571 (Numerical Linear Algebra) is a detailed study of the solution of systems of linear equations and eigenvalue problems, with some emphasis on large-scale problems. Math 572 (Numerical Methods for Differential Equations) covers numerical methods for both ordinary and partial differential equations. (Math 571 and 572 can be taken in either order).

Subsequent Courses: This course is basic for many later courses in science and engineering. It is good background for 571 — 572.

Advisory Prerequisite: ENGR 101; one of MATH 216, 256, 286, or 316, and one of MATH 215, 217, 417, or 419.

MATH 371 — Numerical Methods for Engineers and Scientists
Section 002, LEC

FA 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 471 or 472.

Background and Goals: This is a survey course of the basic numerical methods which are used to solve practical scientific problems. Important concepts such as accuracy, stability, and efficiency are discussed. The course provides an introduction to MATLAB, an interactive program for numerical linear algebra, and may provide practice in FORTRAN programming and the use of a software library subroutine. Convergence theorems are discussed and applied, but the proofs are not emphasized.

Content: Floating point arithmetic, Gaussian elimination, polynomial interpolation, spline approximations, numerical integration and differentiation, solutions to non-linear equations, ordinary differential equations, polynomial approximations. Other topics may include discrete Fourier transforms, two-point boundary-value problems, and Monte-Carlo methods.

Alternatives: Alternatives: Math 471 (Numerical Analysis) provides a more in-depth study of the same topics, with a greater emphasis on analyzing the accuracy and stability of the numerical methods. Math 571 (Numerical Linear Algebra) is a detailed study of the solution of systems of linear equations and eigenvalue problems, with some emphasis on large-scale problems. Math 572 (Numerical Methods for Differential Equations) covers numerical methods for both ordinary and partial differential equations. (Math 571 and 572 can be taken in either order).

Subsequent Courses: This course is basic for many later courses in science and engineering. It is good background for 571 — 572.

Advisory Prerequisite: ENGR 101; one of MATH 216, 256, 286, or 316, and one of MATH 215, 217, 417, or 419.

MATH 385 — Mathematics for Elementary School Teachers
Section 001, LEC

FA 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 485.

Background and Goals: This course, together with its sequel Math 489, provides a coherent overview of the mathematics underlying the elementary and middle school curriculum. It is required of all students intending to earn an elementary teaching certificate and is taken almost exclusively by such students. Concepts are heavily emphasized with some attention given to calculation and proof. The course is conducted using a discussion format. Class participation is expected and constitutes a significant part of the course grade. Enrollment is limited to 30 students per section. Although only two years of high school mathematics are required, a more complete background including pre-calculus or calculus is desirable.

Content: Topics covered include problem solving, sets and functions, numeration systems, whole numbers (including some number theory) and integers. Each number system is examined in terms of its algorithms, its applications, and its mathematical structure. The material is contained in Chapters 1 — 6 of Krause.

Alternatives: There is no alternative course.

Subsequent Courses: Math 489 (Math for Elem. and Middle Sch. Teach.) is the required sequel.

Advisory Prerequisite: One year each of high school algebra and geometry.

MATH 385 — Mathematics for Elementary School Teachers
Section 002, LEC

FA 2007
Credits: 3

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 485.

Background and Goals: This course, together with its sequel Math 489, provides a coherent overview of the mathematics underlying the elementary and middle school curriculum. It is required of all students intending to earn an elementary teaching certificate and is taken almost exclusively by such students. Concepts are heavily emphasized with some attention given to calculation and proof. The course is conducted using a discussion format. Class participation is expected and constitutes a significant part of the course grade. Enrollment is limited to 30 students per section. Although only two years of high school mathematics are required, a more complete background including pre-calculus or calculus is desirable.

Content: Topics covered include problem solving, sets and functions, numeration systems, whole numbers (including some number theory) and integers. Each number system is examined in terms of its algorithms, its applications, and its mathematical structure. The material is contained in Chapters 1 — 6 of Krause.

Alternatives: There is no alternative course.

Subsequent Courses: Math 489 (Math for Elem. and Middle Sch. Teach.) is the required sequel.

Advisory Prerequisite: One year each of high school algebra and geometry.

MATH 395 — Honors Analysis I
Section 001, LEC

Instructor: Conrad,Brian D; homepage

FA 2007
Credits: 4
Reqs: BS
Other: Honors

Background and Goals: This course is a continuation of the sequence Math 295-296 and has the same theoretical emphasis. Students are expected to understand and construct proofs.

Content: This course studies functions of several real variables. Topics are chosen from elementary linear algebra, elementary topology, differential and integral calculus of scalar- and vector-valued functions and vector-valued mappings, implicit and inverse function theorems.

Alternatives: none Subsequent Courses: Math 396 (Honors Analysis II), Math 512, Math 525

Advisory Prerequisite: MATH 296 or permission of the Honors advisor.

MATH 399 — Independent Reading
Section 001, IND

FA 2007
Credits: 1 — 6
Other: INDEPENDENT

Designed especially for Honors students.

Advisory Prerequisite: Permission of instructor.

MATH 404 — Intermediate Differential Equations and Dynamics
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This is a course oriented to the solutions and applications of differential equations. Numerical methods and computer graphics are incorporated to varying degrees depending on the instructor. There are relatively few proofs. Some background in linear algebra is strongly recommended. First-order equations, second and higher-order linear equations, Wronskians, variation of parameters, mechanical vibrations, power series solutions, regular singular points, Laplace transform methods, eigenvalues and eigenvectors, nonlinear autonomous systems, critical points, stability, qualitative behavior, application to competing-species and predator-prey models, numerical methods. MATH 454 is a natural sequel.

Advisory Prerequisite: MATH 216, 256 or 286, or 316.

MATH 412 — Introduction to Modern Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 512. Students with credit for MATH 312 should take MATH 512 rather than 412. One credit granted to those who have completed MATH 312.

This course is designed to serve as an introduction to the methods and concepts of abstract mathematics. A typical student entering this course has substantial experience in using complex mathematical (calculus) calculations to solve physical or geometrical problems, but is unused to analyzing carefully the content of definitions or the logical flow of ideas which underlie and justify these calculations. Although the topics discussed here are quite distinct from those of calculus, an important goal of the course is to introduce the student to this type of analysis. Much of the reading, homework exercises, and exams consists of theorems (propositions, lemmas, etc.) and their proofs. MATH 217 or equivalent required as background. The initial topics include ones common to every branch of mathematics: sets, functions (mappings), relations, and the common number systems (integers, rational numbers, real numbers, and complex numbers). These are then applied to the study of particular types of mathematical structures such as groups, rings, and fields. These structures are presented as abstractions from many examples such as the common number systems together with the operations of addition or multiplication, permutations of finite and infinite sets with function composition, sets of motions of geometric figures, and polynomials. Notions such as generator, subgroup, direct product, isomorphism, and homomorphism are defined and studied.

MATH 312 is a somewhat less abstract course which substitutes material on finite automata and other topics for some of the material on rings and fields of MATH 412. MATH 512 is an Honors version of MATH 412 which treats more material in a deeper way. A student who successfully completes this course will be prepared to take a number of other courses in abstract mathematics: MATH 416, 451, 475, 575, 481, 513, and 582. All of these courses will extend and deepen the student's grasp of modern abstract mathematics.

Advisory Prerequisite: Math. 215,255 or 285; and 217; only 1 credit after Math. 312.

MATH 412 — Introduction to Modern Algebra
Section 002, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 512. Students with credit for MATH 312 should take MATH 512 rather than 412. One credit granted to those who have completed MATH 312.

This course is designed to serve as an introduction to the methods and concepts of abstract mathematics. A typical student entering this course has substantial experience in using complex mathematical (calculus) calculations to solve physical or geometrical problems, but is unused to analyzing carefully the content of definitions or the logical flow of ideas which underlie and justify these calculations. Although the topics discussed here are quite distinct from those of calculus, an important goal of the course is to introduce the student to this type of analysis. Much of the reading, homework exercises, and exams consists of theorems (propositions, lemmas, etc.) and their proofs. MATH 217 or equivalent required as background. The initial topics include ones common to every branch of mathematics: sets, functions (mappings), relations, and the common number systems (integers, rational numbers, real numbers, and complex numbers). These are then applied to the study of particular types of mathematical structures such as groups, rings, and fields. These structures are presented as abstractions from many examples such as the common number systems together with the operations of addition or multiplication, permutations of finite and infinite sets with function composition, sets of motions of geometric figures, and polynomials. Notions such as generator, subgroup, direct product, isomorphism, and homomorphism are defined and studied.

MATH 312 is a somewhat less abstract course which substitutes material on finite automata and other topics for some of the material on rings and fields of MATH 412. MATH 512 is an Honors version of MATH 412 which treats more material in a deeper way. A student who successfully completes this course will be prepared to take a number of other courses in abstract mathematics: MATH 416, 451, 475, 575, 481, 513, and 582. All of these courses will extend and deepen the student's grasp of modern abstract mathematics.

Advisory Prerequisite: Math. 215,255 or 285; and 217; only 1 credit after Math. 312.

MATH 417 — Matrix Algebra I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled MATH 513.

Many problems in science, engineering, and mathematics are best formulated in terms of matrices — rectangular arrays of numbers. This course is an introduction to the properties of and operations on matrices with a wide variety of applications. The main emphasis is on concepts and problem-solving, but students are responsible for some of the underlying theory. Diversity rather than depth of applications is stressed. This course is not intended for mathematics concentrators, who should elect MATH 217 or 513 (Honors). Topics include matrix operations, echelon form, general solutions of systems of linear equations, vector spaces and subspaces, linear independence and bases, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalues and eigenvectors, and similarity theory. Applications include linear networks, least squares method (regression), discrete Markov processes, linear programming, and differential equations.

MATH 419 is an enriched version of MATH 417 with a somewhat more theoretical emphasis. MATH 217 (despite its lower number) is also a more theoretical course which covers much of the material of MATH 417 at a deeper level. MATH 513 is an Honors version of this course, which is also taken by some mathematics graduate students. MATH 420 is the natural sequel, but this course serves as prerequisite to several courses: MATH 452, 462, 561, and 571.

Advisory Prerequisite: MATH,Three courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

MATH 417 — Matrix Algebra I
Section 002, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled MATH 513.

Many problems in science, engineering, and mathematics are best formulated in terms of matrices — rectangular arrays of numbers. This course is an introduction to the properties of and operations on matrices with a wide variety of applications. The main emphasis is on concepts and problem-solving, but students are responsible for some of the underlying theory. Diversity rather than depth of applications is stressed. This course is not intended for mathematics concentrators, who should elect MATH 217 or 513 (Honors). Topics include matrix operations, echelon form, general solutions of systems of linear equations, vector spaces and subspaces, linear independence and bases, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalues and eigenvectors, and similarity theory. Applications include linear networks, least squares method (regression), discrete Markov processes, linear programming, and differential equations.

MATH 419 is an enriched version of MATH 417 with a somewhat more theoretical emphasis. MATH 217 (despite its lower number) is also a more theoretical course which covers much of the material of MATH 417 at a deeper level. MATH 513 is an Honors version of this course, which is also taken by some mathematics graduate students. MATH 420 is the natural sequel, but this course serves as prerequisite to several courses: MATH 452, 462, 561, and 571.

Advisory Prerequisite: MATH,Three courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

MATH 417 — Matrix Algebra I
Section 003, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled MATH 513.

Many problems in science, engineering, and mathematics are best formulated in terms of matrices — rectangular arrays of numbers. This course is an introduction to the properties of and operations on matrices with a wide variety of applications. The main emphasis is on concepts and problem-solving, but students are responsible for some of the underlying theory. Diversity rather than depth of applications is stressed. This course is not intended for mathematics concentrators, who should elect MATH 217 or 513 (Honors). Topics include matrix operations, echelon form, general solutions of systems of linear equations, vector spaces and subspaces, linear independence and bases, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalues and eigenvectors, and similarity theory. Applications include linear networks, least squares method (regression), discrete Markov processes, linear programming, and differential equations.

MATH 419 is an enriched version of MATH 417 with a somewhat more theoretical emphasis. MATH 217 (despite its lower number) is also a more theoretical course which covers much of the material of MATH 417 at a deeper level. MATH 513 is an Honors version of this course, which is also taken by some mathematics graduate students. MATH 420 is the natural sequel, but this course serves as prerequisite to several courses: MATH 452, 462, 561, and 571.

Advisory Prerequisite: MATH,Three courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

MATH 417 — Matrix Algebra I
Section 004, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled MATH 513.

Many problems in science, engineering, and mathematics are best formulated in terms of matrices — rectangular arrays of numbers. This course is an introduction to the properties of and operations on matrices with a wide variety of applications. The main emphasis is on concepts and problem-solving, but students are responsible for some of the underlying theory. Diversity rather than depth of applications is stressed. This course is not intended for mathematics concentrators, who should elect MATH 217 or 513 (Honors). Topics include matrix operations, echelon form, general solutions of systems of linear equations, vector spaces and subspaces, linear independence and bases, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalues and eigenvectors, and similarity theory. Applications include linear networks, least squares method (regression), discrete Markov processes, linear programming, and differential equations.

MATH 419 is an enriched version of MATH 417 with a somewhat more theoretical emphasis. MATH 217 (despite its lower number) is also a more theoretical course which covers much of the material of MATH 417 at a deeper level. MATH 513 is an Honors version of this course, which is also taken by some mathematics graduate students. MATH 420 is the natural sequel, but this course serves as prerequisite to several courses: MATH 452, 462, 561, and 571.

Advisory Prerequisite: MATH,Three courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

MATH 419 — Linear Spaces and Matrix Theory
Section 003, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Finite dimensional linear spaces and matrix representation of linear transformations; bases, subspaces, determinants, eigenvectors, and canonical forms; and structure of solutions of systems of linear equations. Applications to differential and difference equations. The course provides more depth and content than MATH 417. MATH 513 is the proper election for students contemplating research in mathematics.

Advisory Prerequisite: MATH,Four courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513. Students take only one course from among MATH 214, 217, 417, 419, and 513

MATH 419 — Linear Spaces and Matrix Theory
Section 005, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513.

Finite dimensional linear spaces and matrix representation of linear transformations; bases, subspaces, determinants, eigenvectors, and canonical forms; and structure of solutions of systems of linear equations. Applications to differential and difference equations. The course provides more depth and content than MATH 417. MATH 513 is the proper election for students contemplating research in mathematics.

Advisory Prerequisite: MATH,Four courses beyond MATH 110. Credit can be earned for only one of MATH 214, 217, 417, or 419. No credit granted to those who have completed or are enrolled in MATH 513. Students take only one course from among MATH 214, 217, 417, 419, and 513

MATH 423 — Mathematics of Finance
Section 003, LEC

FA 2007
Credits: 3
Reqs: BS

This course is an introduction to the mathematical models used in finance and economics with particular emphasis on models for pricing derivative instruments such as options and futures. The goal is to understand how the models reflect observed market features, and to provide the necessary mathematical tools for their analysis and implementation. The course will introduce the stochastic processes used for modeling particular financial instruments. However, the students are expected to have a solid background in basic probability theory.

Specific Topics

  1. Review of basic probability.
  2. The one-period binomial model of stock prices used to price futures.
  3. Arbitrage, equivalent portfolios, and risk-neutral valuation.
  4. Multiperiod binomial model.
  5. Options and options markets; pricing options with the binomial model.
  6. Early exercise feature (American options).
  7. Trading strategies; hedging risk.
  8. Introduction to stochastic processes in discrete time. Random walks.
  9. Markov property, martingales, binomial trees.
  10. Continuous-time stochastic processes. Brownian motion.
  11. Black-Scholes analysis, partial differential equation, and formula.
  12. Numerical methods and calibration of models.
  13. Interest-rate derivatives and the yield curve.
  14. Limitations of existing models. Extensions of Black-Scholes.

Advisory Prerequisite: MATH 217 and 425; EECS 183 or equivalent.

MATH 423 — Mathematics of Finance
Section 004, LEC

FA 2007
Credits: 3
Reqs: BS

This course is an introduction to the mathematical models used in finance and economics with particular emphasis on models for pricing derivative instruments such as options and futures. The goal is to understand how the models reflect observed market features, and to provide the necessary mathematical tools for their analysis and implementation. The course will introduce the stochastic processes used for modeling particular financial instruments. However, the students are expected to have a solid background in basic probability theory.

Specific Topics

  1. Review of basic probability.
  2. The one-period binomial model of stock prices used to price futures.
  3. Arbitrage, equivalent portfolios, and risk-neutral valuation.
  4. Multiperiod binomial model.
  5. Options and options markets; pricing options with the binomial model.
  6. Early exercise feature (American options).
  7. Trading strategies; hedging risk.
  8. Introduction to stochastic processes in discrete time. Random walks.
  9. Markov property, martingales, binomial trees.
  10. Continuous-time stochastic processes. Brownian motion.
  11. Black-Scholes analysis, partial differential equation, and formula.
  12. Numerical methods and calibration of models.
  13. Interest-rate derivatives and the yield curve.
  14. Limitations of existing models. Extensions of Black-Scholes.

Advisory Prerequisite: MATH 217 and 425; EECS 183 or equivalent.

MATH 423 — Mathematics of Finance
Section 005, LEC

Instructor: Duran,Ahmet; homepage

FA 2007
Credits: 3
Reqs: BS

This course is an introduction to the mathematical models used in finance and economics with particular emphasis on models for pricing derivative instruments such as options and futures. The goal is to understand how the models reflect observed market features, and to provide the necessary mathematical tools for their analysis and implementation. The course will introduce the stochastic processes used for modeling particular financial instruments. However, the students are expected to have a solid background in basic probability theory.

Specific Topics

  1. Review of basic probability.
  2. The one-period binomial model of stock prices used to price futures.
  3. Arbitrage, equivalent portfolios, and risk-neutral valuation.
  4. Multiperiod binomial model.
  5. Options and options markets; pricing options with the binomial model.
  6. Early exercise feature (American options).
  7. Trading strategies; hedging risk.
  8. Introduction to stochastic processes in discrete time. Random walks.
  9. Markov property, martingales, binomial trees.
  10. Continuous-time stochastic processes. Brownian motion.
  11. Black-Scholes analysis, partial differential equation, and formula.
  12. Numerical methods and calibration of models.
  13. Interest-rate derivatives and the yield curve.
  14. Limitations of existing models. Extensions of Black-Scholes.

Advisory Prerequisite: MATH 217 and 425; EECS 183 or equivalent.

MATH 424 — Compound Interest and Life Insurance
Section 001, LEC

Instructor: Sezer,Semih Onur; homepage

FA 2007
Credits: 3
Reqs: BS

This course explores the concepts underlying the theory of interest and then applies them to concrete problems. The course also includes applications of spreadsheet software. The course is a prerequisite to advanced actuarial courses. It also helps students prepare for the Part 4A examination of the Casualty Actuarial Society and the Course 140 examination of the Society of Actuaries. The course covers compound interest (growth) theory and its application to valuation of monetary deposits, annuities, and bonds. Problems are approached both analytically (using algebra) and geometrically (using pictorial representations). Techniques are applied to real-life situations: bank accounts, bond prices, etc. The text is used as a guide because it is prescribed for the Society of Actuaries exam; the material covered will depend somewhat on the instructor. MATH 424 is required for students concentrating in actuarial mathematics; others may take MATH 147, which deals with the same techniques but with less emphasis on continuous growth situations. MATH 520 applies the concepts of MATH 424 together with probability theory to the valuation of life contingencies (death benefits and pensions).

Advisory Prerequisite: MATH 215, 255, or 285 or permission of instructor.

MATH 424 — Compound Interest and Life Insurance
Section 002, LEC

Instructor: Ludkovski,Michael; homepage

FA 2007
Credits: 3
Reqs: BS

This course explores the concepts underlying the theory of interest and then applies them to concrete problems. The course also includes applications of spreadsheet software. The course is a prerequisite to advanced actuarial courses. It also helps students prepare for the Part 4A examination of the Casualty Actuarial Society and the Course 140 examination of the Society of Actuaries. The course covers compound interest (growth) theory and its application to valuation of monetary deposits, annuities, and bonds. Problems are approached both analytically (using algebra) and geometrically (using pictorial representations). Techniques are applied to real-life situations: bank accounts, bond prices, etc. The text is used as a guide because it is prescribed for the Society of Actuaries exam; the material covered will depend somewhat on the instructor. MATH 424 is required for students concentrating in actuarial mathematics; others may take MATH 147, which deals with the same techniques but with less emphasis on continuous growth situations. MATH 520 applies the concepts of MATH 424 together with probability theory to the valuation of life contingencies (death benefits and pensions).

Advisory Prerequisite: MATH 215, 255, or 285 or permission of instructor.

MATH 425 — Introduction to Probability
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 002, LEC

Instructor: Woodroofe,Michael B; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 003, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 004, LEC

Instructor: Woodroofe,Michael B; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 005, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 006, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 007, LEC

Instructor: Atchade,Yves A

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 008, LEC

Instructor: Atchade,Yves A

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 425 — Introduction to Probability
Section 009, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

Content: Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

Alternatives: MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

Subsequent Courses: STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

Advisory Prerequisite: MATH 215

MATH 429 — Internship
Section 001, IND

FA 2007
Credits: 1
Other: Expr

Credits is granted for a full-time internship of at least eight weeks that is used to enrich a student's academic experience and/or allows the student to explore careers related to his/her academic studies.

Advisory Prerequisite: Concentration in Mathematics.

MATH 431 — Topics in Geometry for Teachers
Section 001, LEC

FA 2007
Credits: 3

This course is a study of the axiomatic foundations of Euclidean and non-Euclidean geometry. Concepts and proofs are emphasized; students must be able to follow as well as construct clear logical arguments. For most students this is an introduction to proofs. A subsidiary goal is the development of enrichment and problem materials suitable for secondary geometry classes. Topics selected depend heavily on the instructor but may include classification of isometries of the Euclidean plane; similarities; rosette, frieze, and wallpaper symmetry groups; tessellations; triangle groups; and finite, hyperbolic, and taxicab non-Euclidean geometries. Alternative geometry courses at this level are MATH 432 and 433. Although it is not strictly a prerequisite, MATH 431 is good preparation for MATH 531.

Advisory Prerequisite: MATH 215, 255, or 285.

MATH 431 — Topics in Geometry for Teachers
Section 002, LEC

FA 2007
Credits: 3

This course is a study of the axiomatic foundations of Euclidean and non-Euclidean geometry. Concepts and proofs are emphasized; students must be able to follow as well as construct clear logical arguments. For most students this is an introduction to proofs. A subsidiary goal is the development of enrichment and problem materials suitable for secondary geometry classes. Topics selected depend heavily on the instructor but may include classification of isometries of the Euclidean plane; similarities; rosette, frieze, and wallpaper symmetry groups; tessellations; triangle groups; and finite, hyperbolic, and taxicab non-Euclidean geometries. Alternative geometry courses at this level are MATH 432 and 433. Although it is not strictly a prerequisite, MATH 431 is good preparation for MATH 531.

Advisory Prerequisite: MATH 215, 255, or 285.

MATH 433 — Introduction to Differential Geometry
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This course is about the analysis of curves and surfaces in 2- and 3-space using the tools of calculus and linear algebra. There will be many examples discussed, including some which arise in engineering and physics applications. Emphasis will be placed on developing intuitions and learning to use calculations to verify and prove theorems. Students need a good background in multivariable calculus (215) and linear algebra (preferably 217). Some exposure to differential equations (216 or 316) is helpful but not absolutely necessary. Topics covered include (1) curves: curvature, torsion, rigid motions, existence and uniqueness theorems; (2) global properties of curves: rotation index, global index theorem, convex curves, 4-vertex theorem; and (3) local theory of surfaces: local parameters, metric coefficients, curves on surfaces, geodesic and normal curvature, second fundamental form, Christoffel symbols, Gaussian and mean curvature, minimal surfaces, and classification of minimal surfaces of revolution. 537 is a substantially more advanced course which requires a strong background in topology (590), linear algebra (513), and advanced multivariable calculus (551). It treats some of the same material from a more abstract and topological perspective and introduces more general notions of curvature and covariant derivative for spaces of any dimension. Math 635 and Math 636 (Topics in Differential Geometry) further study Riemannian manifolds and their topological and analytic properties. Physics courses in general relativity and gauge theory will use some of the material of this course.

Advisory Prerequisite: MATH 215 (or 255 or 285), and 217

MATH 450 — Advanced Mathematics for Engineers I
Section 001, LEC

FA 2007
Credits: 4
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 354 or 454.

Although this course is designed principally to develop mathematics for application to problems of science and engineering, it also serves as an important bridge for students between the calculus courses and the more demanding advanced courses. Students are expected to learn to read and write mathematics at a more sophisticated level and to combine several techniques to solve problems. Some proofs are given, and students are responsible for a thorough understanding of definitions and theorems. Students should have a good command of the material from MATH 215, and 216 or 316, which is used throughout the course. A background in linear algebra, e.g. MATH 217, is highly desirable, as is familiarity with Maple software. Topics include a review of curves and surfaces in implicit, parametric, and explicit forms; differentiability and affine approximations; implicit and inverse function theorems; chain rule for 3-space; multiple integrals; scalar and vector fields; line and surface integrals; computations of planetary motion, work, circulation, and flux over surfaces; Gauss' and Stokes' Theorems; and derivation of continuity and heat equation. Some instructors include more material on higher dimensional spaces and an introduction to Fourier series. MATH 450 is an alternative to MATH 451 as a prerequisite for several more advanced courses. MATH 454 and 555 are the natural sequels for students with primary interest in engineering applications.

Advisory Prerequisite: MATH 215, 255, or 285.

MATH 450 — Advanced Mathematics for Engineers I
Section 002, LEC

FA 2007
Credits: 4
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 354 or 454.

Although this course is designed principally to develop mathematics for application to problems of science and engineering, it also serves as an important bridge for students between the calculus courses and the more demanding advanced courses. Students are expected to learn to read and write mathematics at a more sophisticated level and to combine several techniques to solve problems. Some proofs are given, and students are responsible for a thorough understanding of definitions and theorems. Students should have a good command of the material from MATH 215, and 216 or 316, which is used throughout the course. A background in linear algebra, e.g. MATH 217, is highly desirable, as is familiarity with Maple software. Topics include a review of curves and surfaces in implicit, parametric, and explicit forms; differentiability and affine approximations; implicit and inverse function theorems; chain rule for 3-space; multiple integrals; scalar and vector fields; line and surface integrals; computations of planetary motion, work, circulation, and flux over surfaces; Gauss' and Stokes' Theorems; and derivation of continuity and heat equation. Some instructors include more material on higher dimensional spaces and an introduction to Fourier series. MATH 450 is an alternative to MATH 451 as a prerequisite for several more advanced courses. MATH 454 and 555 are the natural sequels for students with primary interest in engineering applications.

Advisory Prerequisite: MATH 215, 255, or 285.

MATH 451 — Advanced Calculus I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 351.

This course has two complementary goals: (1) a rigorous development of the fundamental ideas of calculus, and (2) a further development of the student's ability to deal with abstract mathematics and mathematical proofs. The key words here are "rigor" and "proof"; almost all of the material of the course consists in understanding and constructing definitions, theorems (propositions, lemmas, etc.) and proofs. This is considered one of the more difficult among the undergraduate mathematics courses, and students should be prepared to make a strong commitment to the course. In particular, it is strongly recommended that some course which requires proofs (such as MATH 412) be taken before MATH 451. Topics include: logic and techniques of proof; sets, functions, and relations; cardinality; the real number system and its topology; infinite sequences, limits, and continuity; differentiation; integration, and the Fundamental Theorem of Calculus; infinite series; and sequences and series of functions.

There is really no other course which covers the material of MATH 451. Although MATH 450 is an alternative prerequisite for some later courses, the emphasis of the two courses is quite distinct. The natural sequel to MATH 451 is 452, which extends the ideas considered here to functions of several variables. In a sense, MATH 451 treats the theory behind MATH 115-116, while MATH 452 does the same for MATH 215 and a part of MATH 216. MATH 551 is a more advanced version of Math 452. MATH 451 is also a prerequisite for several other courses: MATH 575, 590, 596, and 597.

Advisory Prerequisite: Previous exposure to abstract mathematics, e.g. MATH 217 and 412

MATH 451 — Advanced Calculus I
Section 002, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 351.

This course has two complementary goals: (1) a rigorous development of the fundamental ideas of calculus, and (2) a further development of the student's ability to deal with abstract mathematics and mathematical proofs. The key words here are "rigor" and "proof"; almost all of the material of the course consists in understanding and constructing definitions, theorems (propositions, lemmas, etc.) and proofs. This is considered one of the more difficult among the undergraduate mathematics courses, and students should be prepared to make a strong commitment to the course. In particular, it is strongly recommended that some course which requires proofs (such as MATH 412) be taken before MATH 451. Topics include: logic and techniques of proof; sets, functions, and relations; cardinality; the real number system and its topology; infinite sequences, limits, and continuity; differentiation; integration, and the Fundamental Theorem of Calculus; infinite series; and sequences and series of functions.

There is really no other course which covers the material of MATH 451. Although MATH 450 is an alternative prerequisite for some later courses, the emphasis of the two courses is quite distinct. The natural sequel to MATH 451 is 452, which extends the ideas considered here to functions of several variables. In a sense, MATH 451 treats the theory behind MATH 115-116, while MATH 452 does the same for MATH 215 and a part of MATH 216. MATH 551 is a more advanced version of Math 452. MATH 451 is also a prerequisite for several other courses: MATH 575, 590, 596, and 597.

Advisory Prerequisite: Previous exposure to abstract mathematics, e.g. MATH 217 and 412

MATH 451 — Advanced Calculus I
Section 003, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 351.

This course has two complementary goals: (1) a rigorous development of the fundamental ideas of calculus, and (2) a further development of the student's ability to deal with abstract mathematics and mathematical proofs. The key words here are "rigor" and "proof"; almost all of the material of the course consists in understanding and constructing definitions, theorems (propositions, lemmas, etc.) and proofs. This is considered one of the more difficult among the undergraduate mathematics courses, and students should be prepared to make a strong commitment to the course. In particular, it is strongly recommended that some course which requires proofs (such as MATH 412) be taken before MATH 451. Topics include: logic and techniques of proof; sets, functions, and relations; cardinality; the real number system and its topology; infinite sequences, limits, and continuity; differentiation; integration, and the Fundamental Theorem of Calculus; infinite series; and sequences and series of functions.

There is really no other course which covers the material of MATH 451. Although MATH 450 is an alternative prerequisite for some later courses, the emphasis of the two courses is quite distinct. The natural sequel to MATH 451 is 452, which extends the ideas considered here to functions of several variables. In a sense, MATH 451 treats the theory behind MATH 115-116, while MATH 452 does the same for MATH 215 and a part of MATH 216. MATH 551 is a more advanced version of Math 452. MATH 451 is also a prerequisite for several other courses: MATH 575, 590, 596, and 597.

Advisory Prerequisite: Previous exposure to abstract mathematics, e.g. MATH 217 and 412

MATH 452 — Advanced Calculus II
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course does a rigorous development of multivariable calculus and elementary function theory with some view towards generalizations. Concepts and proofs are stressed. This is a relatively difficult course, but the stated prerequisites provide adequate preparation.

Content: Topics include (1) partial derivatives and differentiability, (2) gradients, directional derivatives, and the chain rule, (3) implicit function theorem, (4) surfaces, tangent plane, (5) max-min theory, (6) multiple integration, change of variable, etc. (7) Green's and Stokes' theorems, differential forms, exterior derivatives.

Alternatives: none Subsequent Courses: Math 452 is prerequisite to Math 572 and is good general background for any of the more advanced courses in analysis (Math 596, 597) or differential geometry or topology (Math 537, 635)

Advisory Prerequisite: MATH 217, 419, or 513; and MATH 451

MATH 454 — Boundary Value Problems for Partial Differential Equations
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Students with credit for MATH 354 can elect MATH 454 for one credit. No credit granted to those who have completed or are enrolled in MATH 450.

This course is devoted to the use of Fourier series and other orthogonal expansions in the solution of boundary-value problems for second-order linear partial differential equations. Emphasis is on concepts and calculation. The official prerequisite is ample preparation. Classical representation and convergence theorems for Fourier series; method of separation of variables for the solution of the one-dimensional heat and wave equation; the heat and wave equations in higher dimensions; spherical and cylindrical Bessel functions; Legendre polynomials; methods for evaluating asymptotic integrals (Laplace's method, steepest descent); Fourier and Laplace transforms; and applications to linear input-output systems, analysis of data smoothing and filtering, signal processing, time-series analysis, and spectral analysis. Both MATH 455 and 554 cover many of the same topics but are very seldom offered. MATH 454 is prerequisite to MATH 571 and 572, although it is not a formal prerequisite, it is good background for MATH 556.

Advisory Prerequisite: 216,316/286

MATH 454 — Boundary Value Problems for Partial Differential Equations
Section 002, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Students with credit for MATH 354 can elect MATH 454 for one credit. No credit granted to those who have completed or are enrolled in MATH 450.

This course is devoted to the use of Fourier series and other orthogonal expansions in the solution of boundary-value problems for second-order linear partial differential equations. Emphasis is on concepts and calculation. The official prerequisite is ample preparation. Classical representation and convergence theorems for Fourier series; method of separation of variables for the solution of the one-dimensional heat and wave equation; the heat and wave equations in higher dimensions; spherical and cylindrical Bessel functions; Legendre polynomials; methods for evaluating asymptotic integrals (Laplace's method, steepest descent); Fourier and Laplace transforms; and applications to linear input-output systems, analysis of data smoothing and filtering, signal processing, time-series analysis, and spectral analysis. Both MATH 455 and 554 cover many of the same topics but are very seldom offered. MATH 454 is prerequisite to MATH 571 and 572, although it is not a formal prerequisite, it is good background for MATH 556.

Advisory Prerequisite: 216,316/286

MATH 463 — Mathematical Modeling in Biology
Section 001, LEC

Instructor: Nelson,Patrick W; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: It is widely anticipated that Biology and Biomedical science will be the premier sciences of the 21st century. The complexity of the biological sciences makes interdisciplinary involvement essential and the increasing use of mathematics in biology is inevitable as biology becomes more quantitative. Mathematical biology is a fast growing and exciting modern application of mathematics which has gained worldwide recognition. In this course, mathematics models that suggest possible mechanisms which may underlie specific biological processes are developed and analyzed. Another major emphasis of the course is illustrating how these models can be used to predict what may follow under currently untested conditions. The course moves from classical to contemporary models at the population, organ, cellular, and molecular levels.

Content: This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Biological topics may include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation. Mathematical tools such as phase portraits, bifurcation diagrams, perturbation theory, and parameter estimation techniques which are necessary to analyze and interpret biological models will also be covered.

Advisory Prerequisite: MATH 214, 217, 417, or 419; and MATH 216, 256, 286, or 316.

MATH 463 — Mathematical Modeling in Biology
Section 002, LEC

Instructor: Jackson,Trachette L; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: It is widely anticipated that Biology and Biomedical science will be the premier sciences of the 21st century. The complexity of the biological sciences makes interdisciplinary involvement essential and the increasing use of mathematics in biology is inevitable as biology becomes more quantitative. Mathematical biology is a fast growing and exciting modern application of mathematics which has gained worldwide recognition. In this course, mathematics models that suggest possible mechanisms which may underlie specific biological processes are developed and analyzed. Another major emphasis of the course is illustrating how these models can be used to predict what may follow under currently untested conditions. The course moves from classical to contemporary models at the population, organ, cellular, and molecular levels.

Content: This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Biological topics may include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation. Mathematical tools such as phase portraits, bifurcation diagrams, perturbation theory, and parameter estimation techniques which are necessary to analyze and interpret biological models will also be covered.

Advisory Prerequisite: MATH 214, 217, 417, or 419; and MATH 216, 256, 286, or 316.

MATH 471 — Introduction to Numerical Methods
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 371 or 472.

This is a survey of the basic numerical methods which are used to solve scientific problems. The emphasis is evenly divided between the analysis of the methods and their practical applications. Some convergence theorems and error bounds are proven. The course also provides an introduction to MATLAB, an interactive program for numerical linear algebra, as well as practice in computer programming. One goal of the course is to show how calculus and linear algebra are used in numerical analysis. Topics may include computer arithmetic, Newton's method for non-linear equations, polynomial interpolation, numerical integration, systems of linear equations, initial value problems for ordinary differential equations, quadrature, partial pivoting, spline approximations, partial differential equations, Monte Carlo methods, 2-point boundary value problems, and the Dirichlet problem for the Laplace equation. MATH 371 is a less sophisticated version intended principally for sophomore and junior engineering students; the sequence MATH 571-572 is mainly taken by graduate students, but should be considered by strong undergraduates. MATH 471 is good preparation for MATH 571 and 572, although it is not prerequisite to these courses.

Advisory Prerequisite: MATH 216, 256, 286, or 316; and 214, 217, 417, or 419; and a working knowledge of one high-level computer language. No credit granted to those who have completed or are enrolled in MATH 371 or 472.

MATH 471 — Introduction to Numerical Methods
Section 002, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: No credit granted to those who have completed or are enrolled in MATH 371 or 472.

This is a survey of the basic numerical methods which are used to solve scientific problems. The emphasis is evenly divided between the analysis of the methods and their practical applications. Some convergence theorems and error bounds are proven. The course also provides an introduction to MATLAB, an interactive program for numerical linear algebra, as well as practice in computer programming. One goal of the course is to show how calculus and linear algebra are used in numerical analysis. Topics may include computer arithmetic, Newton's method for non-linear equations, polynomial interpolation, numerical integration, systems of linear equations, initial value problems for ordinary differential equations, quadrature, partial pivoting, spline approximations, partial differential equations, Monte Carlo methods, 2-point boundary value problems, and the Dirichlet problem for the Laplace equation. MATH 371 is a less sophisticated version intended principally for sophomore and junior engineering students; the sequence MATH 571-572 is mainly taken by graduate students, but should be considered by strong undergraduates. MATH 471 is good preparation for MATH 571 and 572, although it is not prerequisite to these courses.

Advisory Prerequisite: MATH 216, 256, 286, or 316; and 214, 217, 417, or 419; and a working knowledge of one high-level computer language. No credit granted to those who have completed or are enrolled in MATH 371 or 472.

MATH 472 — Numerical Methods with Financial Applications
Section 001, LEC

Instructor: Duran,Ahmet; homepage

FA 2007
Credits: 3
Reqs: BS

Theoretical study and practical implementation of numerical methods for scientific problems, with emphasis on financial applications. Topics: Newton's method for nonlinear equations; systems of linear equations; numerical integration; interpolation and polynomial approximation; ordinary differential equations; partial differential equations, in particular the Black-Scholes equation; Monte Carlo simulation; numerical modeling.

Advisory Prerequisite: Differential Equations (MATH 256, 286, or 316); Linear Algebra (MATH 217, 417, or 419); working knowledge of a high-level computer language. Recommended: MATH 425.

MATH 475 — Elementary Number Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This is an elementary introduction to number theory, especially congruence arithmetic. Number Theory is one of the few areas of mathematics in which problems easily describable to a layman (is every even number the sum of two primes?) have remained unsolved for centuries. Recently some of these fascinating but seemingly useless questions have come to be of central importance in the design of codes and ciphers. The methods of number theory are often elementary in requiring little formal background. In addition to strictly number-theoretic questions, concrete examples of structures such as rings and fields from abstract algebra are discussed. Concepts and proofs are emphasized, but there is some discussion of algorithms which permit efficient calculation. Students are expected to do simple proofs and may be asked to perform computer experiments. Although there are no special prerequisites and the course is essentially self-contained, most students have some experience in abstract mathematics and problem solving and are interested in learning proofs. At least three semesters of college mathematics are recommended. A Computational Laboratory (Math 476, 1 credit) will usually be offered as an optional supplement to this course.

Content: Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields. This material corresponds to Chapters 1 — 3 and selected parts of Chapter 5 of Niven and Zuckerman.

Alternatives: Math 575 (Intro. to Theory of Numbers) moves much faster, covers more material, and requires more difficult exercises. There is some overlap with Math 412 (Introduction to Modern Algebra) which stresses the algebraic content. Subsequent Courses: Math 475 may be followed by Math 575 (Intro. to Theory of Numbers) and is good preparation for Math 412 (Introduction to Modern Algebra). All of the advanced number theory courses, Math 675, 676, 677, 678, and 679, presuppose the material of Math 575, although a good student may get by with Math 475.

Advisory Prerequisite: At least three terms of college Mathematics are recommended.

MATH 481 — Introduction to Mathematical Logic
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

All of modern mathematics involves logical relationships among mathematical concepts. In this course we focus on these relationships themselves rather than the ideas they relate. Inevitably this leads to a study of the (formal) languages suitable for expressing mathematical ideas. The explicit goal of the course is the study of propositional and first-order logic; the implicit goal is an improved understanding of the logical structure of mathematics. Students should have some previous experience with abstract mathematics and proofs, both because the course is largely concerned with theorems and proofs and because the formal logical concepts will be much more meaningful to a student who has already encountered these concepts informally. No previous course in logic is prerequisite. In the first third of the course the notion of a formal language is introduced and propositional connectives (and, or, not, implies), tautologies, and tautological consequence are studied. The heart of the course is the study of first-order predicate languages and their models. The new elements here are quantifiers ('there exists' and 'for all'). The study of the notions of truth, logical consequence, and provability lead to the completeness and compactness theorems. The final topics include some applications of these theorems, usually including non-standard analysis. MATH 681, the graduate introductory logic course, also has no specific logic prerequisite but does presuppose a much higher general level of mathematical sophistication. PHIL 414 may cover much of the same material with a less mathematical orientation. MATH 481 is not explicitly prerequisite for any later course, but the ideas developed have application to every branch of mathematics.

Advisory Prerequisite: MATH 412 or 451 or equivalent experience with abstract mathematics.

MATH 497 — Topics in Elementary Mathematics
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This is an elective course for elementary teaching certificate candidates that extends and deepens the coverage of mathematics begun in the required two-course sequence Math 385-489. Topics are chosen from geometry, algebra, computer programming, logic, and combinatorics. Applications and problem-solving are emphasized. The class meets three times per week in recitation sections. Grades are based on class participation, two one-hour exams, and a final exam.

Content: Selected topics in geometry, algebra, computer programming, logic, and combinatorics for prospective and in-service elementary, middle, or junior-high school teachers. Content will vary from term to term.

Alternatives: none Subsequent Courses: none

Advisory Prerequisite: MATH 489 or permission of instructor.

MATH 499 — Independent Reading
Section 001, IND

FA 2007
Credits: 1 — 4

This course is intended for graduate students in fields other than mathematics who require mathematical skills not otherwise available though existing courses.

Advisory Prerequisite: Graduate standing in a field other than Mathematics and permission of instructor.

MATH 501 — Applied & Interdisciplinary Mathematics Student Seminar
Section 001, SEM

FA 2007
Credits: 1

The Applied and Interdisciplinary Mathematics (AIM) student seminar is an introductory and survey course in the methods and applications of modern mathematics in the natural, social, and engineering sciences. Students will attend the weekly AIM Research Seminar where topics of current interest are presented by active researchers (both from U-M and from elsewhere). The other central aspect of the course will be a seminar to prepare students with appropriate introductory background material. The seminar will also focus on effective communication methods for interdisciplinary research. MATH 501 is primarily intended for graduate students in the Applied & Interdisciplinary Mathematics M.S. and Ph.D. programs. It is also intended for mathematically curious graduate students from other areas. Qualified undergraduates are welcome to elect the course with the instructor's permission.

Student attendance and participation at all seminar sessions is required. Students will develop and make a short presentation on some aspect of applied and interdisciplinary mathematics.

Advisory Prerequisite: At least two 300 or above level math courses, and Graduate standing; Qualified undergraduates with permission of instructor only.

MATH 506 — Stochastic Analysis for Finance
Section 001, LEC

Instructor: Sezer,Semih Onur; homepage

FA 2007
Credits: 3
Reqs: BS

The aim of this course is to teach the probabilistic techniques and concepts from the theory of stochastic processes required to understand the widely used financial models. In particular concepts such as martingales, stochastic integration/calculus, which are essential in computing the prices of derivative contracts, will be discussed. Pricing in complete/incomplete markets (in discrete/ continuous time) will be the focus of this course as well as some exposition of the mathematical tools that will be used such as Brownian motion, Levy processes and Markov processes.

Advisory Prerequisite: Graduate students or permission of instructor.

MATH 506 — Stochastic Analysis for Finance
Section 002, LEC

Instructor: Bayraktar,Erhan; homepage

FA 2007
Credits: 3
Reqs: BS

The aim of this course is to teach the probabilistic techniques and concepts from the theory of stochastic processes required to understand the widely used financial models. In particular concepts such as martingales, stochastic integration/calculus, which are essential in computing the prices of derivative contracts, will be discussed. Pricing in complete/incomplete markets (in discrete/ continuous time) will be the focus of this course as well as some exposition of the mathematical tools that will be used such as Brownian motion, Levy processes and Markov processes.

Advisory Prerequisite: Graduate students or permission of instructor.

MATH 513 — Introduction to Linear Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Two credits granted to those who have completed MATH 214, 217, 417, or 419.

This is an introduction to the theory of abstract vector spaces and linear transformations. The emphasis is on concepts and proofs with some calculations to illustrate the theory. For students with only the minimal prerequisite, this is a demanding course; at least one additional proof-oriented course e.g., MATH 451 or 512) is recommended. Topics are selected from: vector spaces over arbitrary fields (including finite fields); linear transformations, bases, and matrices; eigenvalues and eigenvectors; applications to linear and linear differential equations; bilinear and quadratic forms; spectral theorem; Jordan Canonical Form. MATH 419 covers much of the same material using the same text, but there is more stress on computation and applications. MATH 217 is similarly proof-oriented but significantly less demanding than MATH 513. MATH 417 is much less abstract and more concerned with applications. The natural sequel to MATH 513 is 593. Math 513 is also prerequisite to several other courses (MATH 537, 551, 571, and 575) and may always be substituted for MATH 417 or 419.

Advisory Prerequisite: MATH 412 or equivalent experience with abstract mathematics

MATH 520 — Life Contingencies I
Section 001, LEC

Instructor: Huntington,Curtis E; homepage

FA 2007
Credits: 3
Reqs: BS

The goal of this course is to teach the basic actuarial theory of mathematical models for financial uncertainties, mainly the time of death. In addition to actuarial students, this course is appropriate for anyone interested in mathematical modeling outside of the physical sciences. Concepts and calculation are emphasized over proof. The main topics are the development of (1) probability distributions for the future lifetime random variable, (2) probabilistic methods for financial payments depending on death or survival, and (3) mathematical models of actuarial reserving. 523 is a complementary course covering the application of stochastic process models. Math 520 is prerequisite to all succeeding actuarial courses. Math 521 extends the single decrement and single life ideas of 520 to multi-decrement and multiple-life applications directly related to life insurance and pensions. The sequence MATH 520-521 covers the Part 4A examination of the Casualty Actuarial Society and covers the syllabus of the Course 150 examination of the Society of Actuaries. MATH 522 applies the models of 520 to funding concepts of retirement benefits such as social insurance, private pensions, retiree medical costs, etc. Recommended text: Actuarial Mathematics (Second Editions) by Bowles et al.

Advisory Prerequisite: MATH 424 and 425, or permission of instructor.

MATH 520 — Life Contingencies I
Section 002, LEC

Instructor: Huntington,Curtis E; homepage

FA 2007
Credits: 3
Reqs: BS

The goal of this course is to teach the basic actuarial theory of mathematical models for financial uncertainties, mainly the time of death. In addition to actuarial students, this course is appropriate for anyone interested in mathematical modeling outside of the physical sciences. Concepts and calculation are emphasized over proof. The main topics are the development of (1) probability distributions for the future lifetime random variable, (2) probabilistic methods for financial payments depending on death or survival, and (3) mathematical models of actuarial reserving. 523 is a complementary course covering the application of stochastic process models. Math 520 is prerequisite to all succeeding actuarial courses. Math 521 extends the single decrement and single life ideas of 520 to multi-decrement and multiple-life applications directly related to life insurance and pensions. The sequence MATH 520-521 covers the Part 4A examination of the Casualty Actuarial Society and covers the syllabus of the Course 150 examination of the Society of Actuaries. MATH 522 applies the models of 520 to funding concepts of retirement benefits such as social insurance, private pensions, retiree medical costs, etc. Recommended text: Actuarial Mathematics (Second Editions) by Bowles et al.

Advisory Prerequisite: MATH 424 and 425, or permission of instructor.

MATH 523 — Risk Theory
Section 001, LEC

Instructor: Jonsson,Mattias; homepage

FA 2007
Credits: 3
Reqs: BS

Risk management is of major concern to all financial institutions and is an active area of modern finance. This course is relevant for students with interests in finance, risk management, or insurance and provides background for the professional examinations in Risk Theory offered by the Society of Actuaries and the Casualty Actuary Society. Students should have a basic knowledge of common probability distributions (Poisson, exponential, gamma, binomial, etc.) and have at least junior standing. Two major problems will be considered: (1) modeling of payouts of a financial intermediary when the amount and timing vary stochastically over time; and (2) modeling of the ongoing solvency of a financial intermediary subject to stochastically varying capital flow. These topics will be treated historically beginning with classical approaches and proceeding to more dynamic models. Connections with ordinary and partial differential equations will be emphasized. Classical approaches to risk including the insurance principle and the risk-reward tradeoff. Review of probability. Bachelier and Lundberg models of investment and loss aggregation. Fallacy of time diversification and its generalizations. Geometric Brownian motion and the compound Poisson process. Modeling of individual losses which arise in a loss aggregation process. Distributions for modeling size loss, statistical techniques for fitting data, and credibility. Economic rationale for insurance, problems of adverse selection and moral hazard, and utility theory. The three most significant results of modern finance: the Markowitz portfolio selection model, the capital asset pricing model of Sharpe, Lintner and Moissin, and (time permitting) the Black-Scholes option pricing model.

Advisory Prerequisite: MATH 425.

MATH 523 — Risk Theory
Section 002, LEC

Instructor: Jonsson,Mattias; homepage

FA 2007
Credits: 3
Reqs: BS

Risk management is of major concern to all financial institutions and is an active area of modern finance. This course is relevant for students with interests in finance, risk management, or insurance and provides background for the professional examinations in Risk Theory offered by the Society of Actuaries and the Casualty Actuary Society. Students should have a basic knowledge of common probability distributions (Poisson, exponential, gamma, binomial, etc.) and have at least junior standing. Two major problems will be considered: (1) modeling of payouts of a financial intermediary when the amount and timing vary stochastically over time; and (2) modeling of the ongoing solvency of a financial intermediary subject to stochastically varying capital flow. These topics will be treated historically beginning with classical approaches and proceeding to more dynamic models. Connections with ordinary and partial differential equations will be emphasized. Classical approaches to risk including the insurance principle and the risk-reward tradeoff. Review of probability. Bachelier and Lundberg models of investment and loss aggregation. Fallacy of time diversification and its generalizations. Geometric Brownian motion and the compound Poisson process. Modeling of individual losses which arise in a loss aggregation process. Distributions for modeling size loss, statistical techniques for fitting data, and credibility. Economic rationale for insurance, problems of adverse selection and moral hazard, and utility theory. The three most significant results of modern finance: the Markowitz portfolio selection model, the capital asset pricing model of Sharpe, Lintner and Moissin, and (time permitting) the Black-Scholes option pricing model.

Advisory Prerequisite: MATH 425.

MATH 525 — Probability Theory
Section 001, LEC

Instructor: Egami,Masahiko; homepage

FA 2007
Credits: 3
Reqs: BS

This course is a thorough and fairly rigorous study of the mathematical theory of probability. There is substantial overlap with MATH 425, but here more sophisticated mathematical tools are used and there is greater emphasis on proofs of major results. MATH 451 is preferable to MATH 450 as preparation, but either is acceptable. Topics include the basic results and methods of both discrete and continuous probability theory. Different instructors will vary the emphasis between these two theories. EECS 501 also covers some of the same material at a lower level of mathematical rigor. MATH 425 is a course for students with substantially weaker background and ability. MATH 526, STATS 426, and the sequence STATS 610-611 are natural sequels.

Advisory Prerequisite: STATS,MATH 451 (strongly recommended). MATH 425/STATS 425 would be helpful.

MATH 526 — Discrete State Stochastic Processes
Section 001, LEC

Instructor: Ludkovski,Michael; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: The theory of stochastic processes is concerned with systems which change in accordance with probability laws. It can be regarded as the 'dynamic' part of statistic theory. Many applications occur in physics, engineering, computer sciences, economics, financial mathematics and biological sciences, as well as in other branches of mathematical analysis such as partial differential equations. The purpose of this course is to provide an introduction to the many specialized treatise on stochastic processes. Most of this course is on discrete state spaces. It is a second course in probability which should be of interest to students of mathematics and statistics as well as students from other disciplines in which stochastic processes have found significant applications. Special efforts will be made to attract and interest students in the rich diversity of applications of stochastic processes and to make them aware of the relevance and importance of the mathematical subtleties underlying stochastic processes.

Content: The material is divided between discrete and continuous time processes. In both, a general theory is developed and detailed study is made of some special classes of processes and their applications. Some specific topics include generating functions; recurrent events and the renewal theorem; random walks; Markov chains; limit theorems; Markov chains in continuous time with emphasis on birth and death processes and queueing theory; an introduction to Brownian motion; stationary processes and martingales. Significant applications will be an important feature of the course.

Coursework: weekly or biweekly problem sets and a midterm exam will each count for 30% of the grade. The final will count for 40%.

Advisory Prerequisite: MATH 525 or EECS 501

MATH 537 — Introduction to Differentiable Manifolds
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course in intended for students with a strong background in topology, linear algebra, and multivariable advanced calculus equivalent to the courses 513 and 590. Its goal is to introduce the basic concepts and results of differential topology and differential geometry. Content: Manifolds, vector fields and flows, differential forms, Stokes' theorem, Lie group basics, Riemannian metrics, Levi-Civita connection, geodesics Alternatives: Math 433 (Intro to Differential Geometry) is an undergraduate version which covers less material in a less sophisticated way. Subsequent Courses: Math 635 (Differential Geometry)

Advisory Prerequisite: MATH 513, and 590 or 591

MATH 543 — Financial Engineering Seminar II
Section 001, LEC

Instructor: Keppo,Jussi Samuli; homepage

FA 2007
Credits: 3

Advanced issues in financial engineering: stochastic interest rate modeling and fixed income markets, derivatives trading and arbitrage, international finance, risk management methodologies include in Value-at-Risk and credit risk. Multivariate stochastic calculus methodology in finance: multivariate Ito's lemma, Ito's stochastic integrals, the Feynman-Kac theorem and Girsanov's theorem.

Enforced Prerequisites: IOE 552 or MATH 542

MATH 555 — Introduction to Functions of a Complex Variable with Applications
Section 001, LEC

Instructor: Barrett,David E; homepage

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course is an introduction to the theory of complex valued functions of a complex variable with substantial attention to applications in science and engineering. Concepts, calculations, and the ability to apply principles to physical problems are emphasized over proofs, but arguments are rigorous. The prerequisite of a course in advanced calculus is essential. This course is a core course for the Applied and Interdisciplinary Mathematics (AIM) graduate program. Content: Differentiation and integration of complex valued functions of a complex variable, series, mappings, residues, applications. Evaluation of improper real integrals, fluid dynamics. This corresponds to Chapters 1-9 of Churchill.

Alternatives: MATH 596 (Analysis I (Complex)) covers all of the theoretical material of MATH 555 and usually more at a higher level and with emphasis on proofs rather than applications.

Subsequent Courses: MATH 555 is prerequisite to many advanced courses in science and engineering fields.

Advisory Prerequisite: MATH 451 or equivalent experience with abstract mathematics

MATH 556 — Methods of Applied Mathematics I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This is an introduction to methods of applied analysis with emphasis on Fourier analysis for differential equations. Initial and boundary value problems are covered. Students are expected to master both the proofs and applications of major results. The prerequisites include linear algebra, advanced calculus and complex variables. This course is a core course for the Applied and Intersciplinary Mathematics (AIM) graduate program.

Content: Topics may vary with the instructor but often include Fourier series, separation of variables for partial differential equations, heat conduction, wave motion, electrostatic fields, Sturm-Liouville problems, Fourier transform, Green's functions, distributions, Hilbert space, complete orthonormal sets, integral operators, spectral theory for compact self-adjoint operators.

Alternatives: Math 454 (Bound Val. Probs. for Part. Diff. Eq.) is an undergraduate course on the same topics Subsequent Courses: Math 557 (Methods of Applied Math II), Math 558 (Ordinary Diff. Eq.), Math 656 (Partial Differential Equations) and 658 (Ordinary Differential Equations.)

Advisory Prerequisite: MATH 217, 419, or 513; 451 and 555.

MATH 558 — Ordinary Differential Equations
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course is an introduction to dynamical systems (differential equations and iterated maps). The aim is to survey a broad range of topics in the theory of dynamical systems with emphasis on techniques and results that are useful in applications. Chaotic dynamics will be discussed. This course is a core course for the Applied and Interdisciplinary Mathematics (AIM) graduate program.

Content: Topics may include: bifurcation theory, phase plane analysis for linear systems, Floquet theory, nonlinear stability theory, dissipative and conservative systems, Poincaré-Bendixson theorem, Lagrangian and Hamiltonian mechanics, nonlinear oscillations, forced systems, resonance, chaotic dynamics, logistic map, period doubling, Feigenbaum sequence, renormalization, complex dynamics, fractals, Mandelbrot set, Lorenz model, homoclinic orbits, Melnikov's method, Smale horseshoe, symbolic dynamics, KAM theory, homoclinic chaos.

Alternatives: MATH 404 (Intermediate Diff. Eq.) is an undergraduate course on similar topics.

Subsequent Courses: MATH 658 (Ordinary Differential Equations)

Advisory Prerequisite: MATH 450, 451, or 454

MATH 561 — Linear Programming I
Section 001, LEC

FA 2007
Credits: 3

Background and Goals: A fundamental problem is the allocation of constrained resources such as funds among investment possibilities or personnel among production facilities. Each such problem has as it's goal the maximization of some positive objective such as investment return or the minimization of some negative objective such as cost or risk. Such problems are called Optimization Problems. Linear Programming deals with optimization problems in which both the objective and constraint functions are linear (the word "programming" is historical and means "planning" rather that necessarily computer programming). In practice, such problems involve thousands of decision variables and constraints, so a primary focus is the development and implementation of efficient algorithms. However, the subject also has deep connections with higher-dimensional convex geometry. A recent survey showed that most Fortune 500 companies regularly use linear programming in their decision making. This course will present both the classical and modern approaches to the subject and discuss numerous applications of current interest.

Content: Formulation of problems from the private and public sectors using the mathematical model of linear programming. Development of the simplex algorithm; duality theory and economic interpretations. Postoptimality (sensitivity) analysis; algorithmic complexity; the ellipsoid method; scaling algorithms; applications and interpretations. Introduction to transportation and assignment problems; special purpose algorithms and advanced computational techniques. Students have opportunities to formulate and solve models developed from more complex case studies and use various computer programs.

Alternatives: Cross-listed as IOE 510.

Subsequent Courses: IOE 610 (Linear Programming II) and IOE 611 (Nonlinear Programming)

Advisory Prerequisite: MATH 217, 417, or 419

MATH 562 — Continuous Optimization Methods
Section 001, LEC

Instructor: Saigal,Romesh; homepage

FA 2007
Credits: 3

Content: Survey of continuous optimization problems. Unconstrained optimization problems: unidirectional search techniques, gradient, conjugate direction, quasi-Newtonian methods; introduction to constrained optimization using techniques of unconstrained optimization through penalty transformation, augmented Lagrangians, and others; discussion of computer programs for various algorithms. Alternatives: Cross-listed as IOE 511. Subsequent Courses: This is not a prerequisite for any other course.

Advisory Prerequisite: MATH 217, 417, or 419.

MATH 565 — Combinatorics and Graph Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course has two somewhat distinct halves devoted to Graph Theory and Enumerative Combinatorics. Proofs, concepts, and calculations play about an equal role. Students should have taken at least one proof-oriented course. This course is a core course for the Applied and Intersciplinary Mathematics (AIM) graduate program. Content: Graph Theory topics include Trees; k-connectivity; Eulerian and Hamiltonian graphs; tournaments; graph coloring; planar graphs, Euler's formula, and the 5-Color Theorem; Kuratowski's Theorem; and the Matrix-Tree Theorem. Enumeration topics include fundamental principles, bijections, generating functions, binomial theorem,Catalan numbers, tableaux, partitions and q-series, linear recurrences and rational generating functions, and Polya theory. Alternatives: There is a small overlap with Math 566 (Combinatorial Theory), but these are the only courses in combinatorics. Math 416 (Theory of Algorithms) is somewhat related but much more concerned with algorithms. Subsequent Courses: Math 566 (Combinatiorial Theory)

Advisory Prerequisite: MATH 412 or 451 or equivalent experience with abstract mathematics.

MATH 571 — Numerical Methods for Scientific Computing I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This course is a rigorous introduction to numerical linear algebra with applications to 2-point boundary value problems and the Laplace equation in two dimensions. Both theoretical and computational aspects of the subject are discussed. Some of the homework problems require computer programming. Students should have a strong background in linear algebra and calculus, and some programming experience. This course is a core course for the Applied and Interdisciplinary Mathematics (AIM) graduate program. Content: The topics covered usually include direct and iterative methods for solving systems of linear equations: Gaussian elimination, Cholesky decomposition, Jacobi iteration, Gauss-Seidel iteration, the SOR method, an introduction to the multigrid method, conjugate gradient method; finite element and difference discretizations of boundary value problems for the Poisson equation in one and two dimensions; numerical methods for computing eigenvalues and eigenvectors. Alternatives: Math 471 (Intro to Numerical Methods) is a survey course in numerical methods at a more elementary level. Subsequent Courses: Math 572 (Numer Meth for Sci Comput II) covers initial value problems for ordinary and partial differential equations. Math 571 and 572 may be taken in either order. Math 671 (Analysis of Numerical Methods I) is an advanced course in numerical analysis with varying topics chosen by the instructor.

Advisory Prerequisite: MATH 214, 217, 417, 419, or 513; and one of MATH 450, 451, or 454.

MATH 575 — Introduction to Theory of Numbers I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Students with credit for MATH 475 can elect MATH 575 for 1 credit.

Background and Goals: Many of the results of algebra and analysis were invented to solve problems in number theory. This field has long been admired for its beauty and elegance and recently has turned out to be extremely applicable to coding problems. This course is a survey of the basic techniques and results of elementary number theory. Students should have significant experience in writing proofs at the level of Math 451 and should have a basic understanding of groups, rings, and fields, at least at the level of Math 412 and preferably Math 512. Proofs are emphasized, but they are often pleasantly short.

Content: Standard topics which are usually covered include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Diophantine equations, primitive roots, quadratic reciprocity and quadratic fields, application of these ideas to the solution of classical problems such as Fermat's last `theorem'(proved recently by A. Wiles). Other topics will depend on the instructor and may include continued fractions, p-adic numbers, elliptic curves, Diophantine approximation, fast multiplication and factorization, Public Key Cryptography, and transcendence. This material corresponds to Chapters 1 — 3 and selected parts of Chapters 4, 5, 7, 8, and 9 of Niven, Zuckerman, and Montgomery. Alternatives: Math 475 (Elementary Number Theory) is a non-honors version of Math 575 which puts much more emphasis on computation and less on proof. Only the standard topics above are covered, the pace is slower, and the exercises are easier. Subsequent Courses: All of the advanced number theory courses Math 675, 676, 677, 678, and 679 presuppose the material of Math 575. Each of these is devoted to a special subarea of number theory.

Advisory Prerequisite: MATH 451 and 513 or permission of instructor.

MATH 590 — Introduction to Topology
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This is an introduction to topology with an emphasis on the set-theoretic aspects of the subject. It is quite theoretical and requires extensive construction of proofs. Content: Topological and metric spaces, continuous functions, homeomorphism, compactness and connectedness, surfaces and manifolds, fundamental theorem of algebra, and other topics. Alternatives: Math 490 (Introduction to Topology) is a more gentle introduction that is more concrete, somewhat less rigorous, and covers parts of both Math 591 and Math 592 (General and Differential Topology). Combinatorial and algebraic aspects of the subject are emphasized over the geometrical. Math 591 (General and Differential Topology) is a more rigorous course covering much of this material and more. Subsequent Courses: Both Math 591 (General and Differential Topology) and Math 537 (Intro to Differentiable Manifolds) use much of the material from Math 590.

Advisory Prerequisite: MATH 451.

MATH 591 — General and Differential Topology
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics. The approach is theoretical and rigorous and emphasizes abstract concepts and proofs. Topological and metric spaces, continuity, subspaces, products and quotient topology, compactness and connectedness, extension theorems, topological groups, topological and differentiable manifolds, tangent spaces, vector fields, submanifolds, inverse function theorem, immersions, submersions, partitions of unity, Sard's theorem, embedding theorems, transversality, classification of surfaces. Math 592 is the natural sequel.

Advisory Prerequisite: MATH 451.

MATH 593 — Algebra I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics. The approach is theoretical and rigorous and emphasizes abstract concepts and proofs. Students should have had a previous course equivalent to 512. Topics include rings and modules, Euclidean rings, principal ideal domains, classification of modules over a principal ideal domain, Jordan and rational canonical forms of matrices, structure of bilinear forms, tensor products of modules, exterior algebras.

Advisory Prerequisite: MATH 513.

MATH 596 — Analysis I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Credit Exclusions: Students with credit for MATH 555 may elect MATH 596 for two credits only.

This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics. The approach is theoretical and rigorous and emphasizes abstract concepts and proofs. Review of analysis in R2 including metric spaces, differentiable maps, Jacobians; analytic functions, Cauchy-Riemann equations, conformal mappings, linear fractional transformations; Cauchy's theorem, Cauchy integral formula; power series and Laurent expansions, residue theorem and applications, maximum modulus theorem, argument principle; harmonic functions; global properties of analytic functions; analytic continuation; normal families, Riemann mapping theorem. Math 595 covers some of the same material with greater emphasis on applications and less attention to proofs.

Advisory Prerequisite: MATH 451.

MATH 602 — Real Analysis II
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Introduction to functional analysis; metric spaces, completion, Banach spaces, Hilbert spaces, L^p spaces; linear functionals, dual spaces, Riesz representation theorems; principle of uniform boundedness, closed graph theorem, Hahn-Banach theorem, B aire category theorem, applications to classical analysis.

Advisory Prerequisite: MATH,MATH 590 and 597.

MATH 604 — Complex Analysis II
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics such as potential theory, geometric function theory, analytic continuation, Riemann surfaces, uniformization and analytic varieties.

Advisory Prerequisite: MATH 590 and 596.

MATH 612 — Lie Algebra and their Representatives
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Representation Theory of semisimple Lie algebras over the complex numbers. Weyl's Theorem, root systems, Harish Chandra's Theorem, Weyl's formulae and Kostant's Multiplicity Theorem. Lie groups, their Lie algebras and further examples of representations.

Advisory Prerequisite: MATH 593, 594 or permission of instructor. Graduate standing.

MATH 614 — Commutative Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Review of commutative rings and modules. Local rings and localization. Noetherian and Artinian rings. Integral independence. Valuation rings, Dedekind domains, completions, graded rings. Dimension theory.

Advisory Prerequisite: MATH 593 and Graduate standing.

MATH 619 — Topics in Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics.

Advisory Prerequisite: MATH 593 and Graduate standing.

MATH 623 — Computational Finance
Section 001, LEC

Instructor: Conlon,Joseph G; homepage

FA 2007
Credits: 3

Background and Goals: The field of computational finance is rising rapidly in academic and industry. There is a growing need for students with such skills. This course will fill this demand. Documented computer projects will be required in addition to a final examination. Content: This is a course in computational methods in finance and financial modeling. Particular emphasis will be put on interest rate models and interest rate derivatives. Specific topics include Black-Scholes theory, no-arbitrage and complete markets theory, term structure models, Hull and White models, Heath-Jarrow-Morton models, the stochastic differential equations and martingale approach, multinomial tree and Monte Carlo methods, the partial differential equations approach, finite difference methods. Alternatives: none Subsequent Courses: none

Advisory Prerequisite: MATH,MATH 316 and MATH 425 or 525.

MATH 625 — Probability and Random Processes I
Section 001, LEC

Instructor: Bayraktar,Erhan; homepage

FA 2007
Credits: 3
Reqs: BS

Axiomatics; measures and integration in abstract spaces. Fourier analysis, characteristic functions. Conditional expectation, Kolmogoroff extension theorem. Stochastic processes; Wiener-Levy, infinitely divisible, stable. Limit theorems, law of the iterated logarithm.

Advisory Prerequisite: MATH 597 and Graduate standing.

MATH 626 — Probability and Random Processes II
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics from among: diffusion theory and partial differential equations; spectral analysis; stationary processes, and ergodic theory; information theory; martingales and gambling systems; theory of partial sums.

Advisory Prerequisite: MATH 625/STATS 625 and Graduate standing.

MATH 631 — Introduction to Algebraic Geometry
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Theory of algebraic varieties: affine and projective varieties, dimension of varieties and subvarieties, singular points, divisors, differentials, intersections. Schemes, cohomology, curves and surfaces, varieties over the complex numbers.

Advisory Prerequisite: MATH 594 or permission of instructor. Graduate standing.

MATH 636 — Topics in Differential Geometry
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Second fundamental form, Hadamard manifolds, spaces of constant curvature, first and second variational formulas, Rauch comparison theorem, and other topics chosen by the instructor.

Advisory Prerequisite: MATH 635 and Graduate standing.

MATH 638 — Introduction to Representation Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

A course on representation theory. Content varies by term and instructor.

Advisory Prerequisite: MATH 597 and Graduate standing.

MATH 651 — Topics in Applied Mathematics I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Topics such as celestial mechanics, continuum mechanics, control theory, general relativity, nonlinear waves, optimization, statistical mechanics.

Advisory Prerequisite: MATH 451, 555 and one other 500-level course in analysis or differential equations. Graduate standing.

MATH 654 — Introduction to Fluid Dynamics
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Background and Goals: This is an introductory survey of mathematical fluid dynamics.

Content: Derivation of the Euler and Navier-Stokes equations, compressible and incompressible flow, conservation laws for mass, momentum, and energy, stream function, flow map, vorticity, Biot-Savart law, circulation, Kelvin theorem, Helmholtz theorem, potential flow past a bluff body, Bernoulli principle, viscous flow, lift and drag, Prandtl boundary layer equations, point vortices, vortex sheets, Kelvin-Helmholtz instability.

Subsequent Courses: MATH 655 (Topics in Fluid Dynamics)

Advisory Prerequisite: MATH 450; MATH 555 or 596; and MATH 454 or 556. Graduate standing.

MATH 656 — Partial and Differential Equations I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Characteristics, heat, wave and Laplace's equation, energy methods, maximum principles, distribution theory.

Advisory Prerequisite: MATH 558, 596 and 597 or permission of instructor. Graduate standing.

MATH 657 — Nonlinear Partial Differential Equations
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

A survey of ideas and methods arising in the study of nonlinear partial differential equations, nonlinear variational problems, bifurcation theory, nonlinear semigroups, shock waves, dispersive equations.

Advisory Prerequisite: MATH 656.

MATH 658 — Ordinary Differential Equations
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This course will discuss certain aspects of the modern theory of ordinary differential equations and dynamical systems, with emphasis on applications to mechanics and nonlinear control theory. Topics will include the qualitative theory of ODE's on manifolds, nonlinear stability theory, Lagrangian and Hamiltonian mechanics, mechanical systems with constraints including nonholonomic systems and the Dirac theory of constraints, reduction and symmetries, integrable systems, mechanical systems with forces, and some key ideas in the control of nonlinear mechanical systems and optimal control. The geometric underpinning of many of these concepts will be discussed.

Advisory Prerequisite: A course in differential equations (e.g., MATH 404 or 558). Graduate standing.

MATH 669 — Topics in Combinatorial Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics from the foundations of combinatorics, including the analysis of general partially ordered sets, combinatorial designs in loops and structures in abstract systems, enumeration under group action, combinatorial aspects of finite simple groups.

Advisory Prerequisite: MATH. 565, 566, or 664 or permission of instructor. Graduate standing.

MATH 671 — Analysis of Numerical Methods I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

This is a course on special topics in numerical analysis and scientific computing. Subjects of current research interest will be included. Recent topics have been: Finite difference methods for hyperbolic problems, Multigrid methods for elliptic boundary value problems. Students can take this class for credit repeatedly.

Advisory Prerequisite: MATH. 571, 572, or permission of instructor. Graduate standing.

MATH 675 — Analytic Theory of Numbers
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Theory of the Riemann zeta-function and the L-functions, distribution of primes, Dirichlet's theorem on primes in a progression, quadratic forms, transcendental numbers.

Advisory Prerequisite: MATH 575, 596, and Graduate standing.

MATH 681 — Mathematical Logic
Section 001, LEC

Instructor: Blass,Andreas R; homepage

FA 2007
Credits: 3
Reqs: BS

Syntax and semantics of first-order logic. Formal deductive systems. Soundness and completeness theorems. Compactness principle and applications. Decision problems for formal theories. Additional topics may include non-standard models and logical syst ems other than classical first-order logic.

Advisory Prerequisite: Mathematical maturity appropriate for a 600-level MATH course. Graduate standing.

MATH 694 — Differential Topology II
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Transversality, embedding theorems, vector bundles and selected topics from the theories of cobordism, surgery, and characteristic classes.

Advisory Prerequisite: MATH,MATH 337 and 591 or permission of instructor.

MATH 695 — Algebraic Topology I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Cohomology Theory, the Universal Coefficient Theorems, Kunneth Theorems (product spaces and their homology and cohomology), fiber bundles, higher homotopy groups, Hurewicz' Theorem, Poincaré and Alexander duality.

Advisory Prerequisite: MATH 591 or permission of instructor. Graduate standing.

MATH 697 — Topics in Topology
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

An intermediate level topics course.

Advisory Prerequisite: Graduate standing.

MATH 700 — Directed Reading and Research
Section 001, IND

FA 2007
Credits: 1 — 3

Designed for individual students who have an interest in a specific topic (usually that has stemmed from a previous course). An individual instructor must agree to direct such a reading, and the requirements are specified when approval is granted.

Advisory Prerequisite: Graduate standing and permission of instructor.

MATH 703 — Topics in Complex Function Theory I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected advanced topics in function theory. May be taken for credit more than once, as the content will vary from year to year.

Advisory Prerequisite: MATH 604 and Graduate standing.

MATH 709 — Topics in Modern Analysis I
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected advanced topics in analysis.

Advisory Prerequisite: MATH 597 and Graduate standing.

MATH 711 — Advanced Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Topics of current research interest, such as groups, rings, lattices, etc., including a thorough study of one such topic.

Advisory Prerequisite: MATH 594 or 612 or permission of instructor. Graduate standing.

MATH 715 — Advanced Topics in Algebra
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

A course on advanced topics in algebra. Content varies by term and instructor.

Advisory Prerequisite: MATH 594, 612, and Graduate standing.

MATH 731 — Topics in Algebraic Geometry
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics in algebraic geometry.

Advisory Prerequisite: Graduate standing.

MATH 776 — Topics in Algebraic Number Theory
Section 001, LEC

FA 2007
Credits: 3
Reqs: BS

Selected topics in algebraic number theory.

Advisory Prerequisite: MATH 676 and Graduate standing.

MATH 821 — Actuarial Math
Section 001, SEM

FA 2007
Credits: 1

MATH 821 — Actuarial Math
Section 002, SEM

FA 2007
Credits: 1

MATH 990 — Dissertation/Precandidate
Section 001, IND

FA 2007
Credits: 1 — 8

Election for dissertation work by doctoral student not yet admitted as a Candidate.

Advisory Prerequisite: Election for dissertation work by doctoral student not yet admitted as a Candidate. Graduate standing.

MATH 993 — Graduate Student Instructor Training Program
Section 001, LEC

Instructor: Rhea,Karen; homepage

FA 2007
Credits: 1

A seminar for all beginning graduate student instructors, consisting of a two day orientation before the term starts and periodic workshops/meetings during the Fall Term. Beginning graduate student instructors are required to register for this class.

Advisory Prerequisite: Graduate standing and appointment as GSI in Mathematics Department.

MATH 995 — Dissertation/Candidate
Section 001, IND

FA 2007
Credits: 8

Graduate School authorization for admission as a doctoral Candidate. N.B. The defense of the dissertation (the final oral examination) must be held under a full term Candidacy enrollment period.

Enforced Prerequisites: Graduate School authorization for admission as a doctoral Candidate

 
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