Fall '99 Course Guide

Courses in Mathematics (Division 428)

Fall Term, 1999 (September 8 – December 22, 1999)

Take me to the Fall Term '99 Time Schedule for Mathematics.

Elementary Mathematics Courses. In order to accommodate diverse backgrounds and interests, several course options are available to beginning mathematics students. All courses require three years of high school mathematics; four years are strongly recommended and more information is given for some individual courses below. Students with College Board Advanced Placement credit and anyone planning to enroll in an upper-level class should consider one of the Honors sequences and discuss the options with a mathematics advisor.

Students who need additional preparation for calculus are tentatively identified by a combination of the math placement test (given during orientation), college admissions test scores (SAT or ACT), and high school grade point average. Academic advisors will discuss this placement information with each student and refer students to a special mathematics advisor when necessary.

Two courses preparatory to the calculus, Math 105 and Math 110, are offered. Math 105 is a course on data analysis, functions and graphs with an emphasis on problem solving. Math 110 is a condensed half-term version of the same material offered as a self-study course through the Math Lab and directed towards students who are unable to complete a first calculus course successfully. A maximum total of 4 credits may be earned in courses numbered 110 and below. Math 103 is offered exclusively in the Summer half-term for students in the Summer Bridge Program.

Math 127 and 128 are courses containing selected topics from geometry and number theory, respectively. They are intended for students who want exposure to mathematical culture and thinking through a single course. They are neither prerequisite nor preparation for any further course. No credit will be received for the election of Math 127 or 128 if a student already has received credit for a 200- (or higher) level mathematics course.

Each of Math 115, 185, and 295 is a first course in calculus and generally credit can be received for only one course from this list. The sequence 115-116-215 is appropriate for most students who want a complete introduction to calculus. One of Math 215, 285, or 395 is prerequisite to most more advanced courses in Mathematics.

The sequences 156-255-256, 175-176-285-286, 185-186-285-286, and 295-296-395-396 are Honors sequences. All students must have the permission of an Honors advisor to enroll in any of these courses, but they need not be enrolled in the LS&A Honors Program. All students with strong preparation and interest in mathematics are encouraged to consider these courses; they are both more interesting and more challenging than the standard sequences.

Math 185-285 covers much of the material of Math 115-215 with more attention to the theory in addition to applications. Most students who take Math 185 have taken a high school calculus course, but it is not required. Math 175-176 assumes a knowledge of calculus roughly equivalent to Math 115 and covers a substantial amount of so-called combinatorial mathematics (see course description) as well as calculus-related topics not usually part of the calculus sequence. Math 175 and 176 are taught by the discovery method: students are presented with a great variety of problems and encouraged to experiment in groups using computers. The sequence Math 295-396 provides a rigorous introduction to theoretical mathematics. Proofs are stressed over applications and these courses require a high level of interest and commitment. Most students electing Math 295 have completed a thorough high school calculus course. The student who completes Math 396 is prepared to explore the world of mathematics at the advanced undergraduate and graduate level.

Students with strong scores on either the AB or BC version of the College Board Advanced Placement exam may be granted credit and advanced placement in one of the sequences described above; a table explaining the possibilities is available from advisors and the Department. In addition, there are two courses expressly designed and recommended for students with one or two semesters of AP credit, Math 119 and Math 156. Both will review the basic concepts of calculus, cover integration and an introduction to differential equations, and introduce the student to the computer algebra system MAPLE. Math 119 will stress experimentation and computation, while Math 156 is an Honors course intended primarily for science and engineering concentrators and will emphasize both applications and theory. Interested students should consult a mathematics advisor for more details.

In rare circumstances and with permission of a Mathematics advisor reduced credit may be granted for Math 185 or 295 after Math 115. A list of these and other cases of reduced credit for courses with overlapping material is available from the Department. To avoid unexpected reduction in credit, students should always consult an advisor before switching from one sequence to another. In all cases a maximum total of 16 credits may be earned for calculus courses Math 115 through Math 396, and no credit can be earned for a prerequisite to a course taken after the course itself.

Students completing Math 116 who are principally interested in the application of mathematics to other fields may continue either to Math 215 (Analytic Geometry and Calculus III) or to Math 216 (Introduction to Differential Equations) – these two courses may be taken in either order. Students who have greater interest in theory or who intend to take more advanced courses in mathematics should continue with Math 215 followed by the sequence Math 217-316 (Linear Algebra-Differential Equations). Math 217 (or the Honors version, Math 513) is required for a concentration in Mathematics; it both serves as a transition to the more theoretical material of advanced courses and provides the background required for optimal treatment of differential equations in Math 316. Math 216 is not intended for mathematics concentrators.

A maximum total of 4 credits may be earned in Mathematics courses numbered 110 and below. A maximum total of 16 credits may be earned for calculus courses Math 112 through Math 396, and no credit can be earned for a prerequisite to a course taken after the course itself.

Math. 105. Data, Functions, and Graphs.

Section – Joint Evening Examinations for All Sections of Math 105, 6-8 P.M., Tues., Oct. 6 and Wed., Nov. 4. also A Joint Final

Prerequisites & Distribution: 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. (4). (MSA). (QR/1).

No Description Provided.

Courses in Mathematics (Division 428)

Fall Term, 1999 (September 8 – December 22, 1999)

Math. 105. Data, Functions, and Graphs.

Section – Joint Evening Examinations for All Sections of Math 105, 6-8 P.M., Tues., Oct. 6 and Wed., Nov. 4. also A Joint Final

Math. 110. Pre-Calculus (Self-Study).

Section – Students in Math 110 Receive Individualized Self-Paced Instruction in the Mathematics Laboratory, in East Hall. Students Must Go to The Math Lab During The First Full Week of Classes

Math. 115. Calculus I.

Section – There Will be Joint Evening Examinations for All sections of Math 115, 6-8 P.M., Thurs, Oct 1 and Nov. 12. Also A Joint Final.

Math. 115. Calculus I.

Section 100 – Students in Math 115 Section 100 Receive Individualized Self-Paced Instruction in the Mathematics Laboratory in Room B860 E H. Students Must Go to The Math Lab During The First Full Week of Classes

Math. 116. Calculus II.

Section – There Will be Joint Evening Examinations for All Sections of Math 116, 6-8 P.M., Tues., Oct. 6 and Wed., Nov. 4. Also A Joint Final

Math. 128. Explorations in Number Theory.

Section 001.

Math. 147. Introduction to Interest Theory.

Section 001.

Math. 156. Applied Honors Calculus II.

Section – There Will be Joint Evening Examinations for All Sections of Math 156, 6-8 P.M. Dates to be Announced. also A Joint Final

Math. 175. Combinatorics and Calculus.

Section 001.

Math. 185. Honors Calculus I.

Math. 215. Calculus III.

Section – There Will be Joint Evening Examinations for All Sections of Math 215, 6-8 P.M., Wed. Oct. 7 and Nov, 11. Also A Joint Final. Students Electing Math 215, Lecture 010 Must Enroll in One of the Laboratory Sections 011-014

Math. 216. Introduction to Differential Equations.

Section – There Will be Joint Evening Examinations for All Sections of Math 216, 6-8 P.M., Mon. Oct 5 and Nov. 9. Also A Joint Final

Math. 217. Linear Algebra.

Math. 256. Applied Honors Calculus IV.

Math. 285. Honors Calculus III.

Math. 289. Problem Seminar.

Section 001.

Math. 295. Honors Mathematics I.

Section 001.

Math. 316. Differential Equations.

Math. 371/Engin. 371. Numerical Methods for Engineers and Scientists.

Section 001.

Math. 395. Honors Analysis I.

Section 001.

Math. 399. Independent Reading.

Math. 412. Introduction to Modern Algebra.

Math. 413. Calculus for Social Scientists.

Section 001.

Math. 416. Theory of Algorithms.

Section 001.

Math. 417. Matrix Algebra I.

Math. 419/EECS 400/CS 400. Linear Spaces and Matrix Theory.

Math. 422/Business Economics and Public Policy 440. Risk Management and Insurance.

Section 001 – Risk Management and Insurance

Math. 423. Mathematics of Finance.

Section 001.

Math. 424. Compound Interest and Life Insurance.

Section 001.

Math. 425/Stat. 425. Introduction to Probability.

Math. 431. Topics in Geometry for Teachers.

Section 001.

Math. 433. Introduction to Differential Geometry.

Section 001.

Math. 450. Advanced Mathematics for Engineers I.

Math. 451. Advanced Calculus I.

Math. 454. Boundary Value Problems for Partial Differential Equations.

Section 001.

Math. 471. Introduction to Numerical Methods.

Math. 481. Introduction to Mathematical Logic.

Section 001.

Math. 485. Mathematics for Elementary School Teachers and Supervisors.

Section 001.

Math. 489. Mathematics for Elementary and Middle School Teachers.

Section 001.

Math. 497. Topics in Elementary Mathematics.

Section 001.

Math. 513. Introduction to Linear Algebra.

Section 001.

Math. 520. Life Contingencies I.

Section 001.

Math. 523. Risk Theory.

Section 001.

Math. 524. Topics in Actuarial Science II.

Section 001.

Math. 525/Stat. 525. Probability Theory.

Section 001.

Math. 535. Introduction to Algebraic Curves.