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).

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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

Prerequisites & Distribution: See Elementary Courses above. Enrollment in Math 110 is by recommendation of Math 115 instructor and override only. No credit granted to those who already have 4 credits for pre-calculus mathematics courses. (2). (Excl).

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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.

Prerequisites & Distribution: Four years of high school mathematics. See Elementary Courses above. Credit usually is granted for only one course from among Math. 112, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

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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

Prerequisites & Distribution: Four years of high school mathematics. See Elementary Courses above. Credit usually is granted for only one course from among Math. 112, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

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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

Prerequisites & Distribution: Math. 115. Credit is granted for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).

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Math. 128. Explorations in Number Theory.

Section 001.

Prerequisites & Distribution: 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. No credit granted to those who have completed a 200- (or higher) level mathematics course. (4). (MSA). (BS). (QR/1).

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Math. 147. Introduction to Interest Theory.

Section 001.

Prerequisites & Distribution: Math. 112 or 115. No credit granted to those who have completed a 200- (or higher) level mathematics course. (3). (MSA). (BS).

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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

Prerequisites & Distribution: Score of 4 or 5 on the AB or BC Advanced Placement calculus exam. Credit is granted for only one course among Math 114, 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).

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Math. 175. Combinatorics and Calculus.

Section 001.

Prerequisites & Distribution: Permission of Honors advisor. No credit granted to those who have completed a 200-level or higher Mathematics course. (4). (MSA). (BS). (QR/1).

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Math. 185. Honors Calculus I.

Prerequisites & Distribution: Permission of the Honors advisor. Credit is granted for only one course from among Math. 112, 113, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).

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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

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1).

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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

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS).

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Math. 217. Linear Algebra.

Prerequisites & Distribution: Math. 215, 255, or 285. No credit granted to those who have completed or are enrolled in Math. 417, 419, or 513. (4). (MSA). (BS). (QR/1).

No Description Provided.

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Math. 256. Applied Honors Calculus IV.

Prerequisites & Distribution: Math. 255. (4). (MSA). (BS).

No Description Provided.

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Math. 285. Honors Calculus III.

Prerequisites & Distribution: Math. 176 or 186, or permission of the Honors advisor. (4). (MSA). (BS).

No Description Provided.

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Math. 289. Problem Seminar.

Section 001.

Prerequisites & Distribution: (1). (Excl). (BS). May be repeated for credit with permission.

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Math. 295. Honors Mathematics I.

Section 001.

Prerequisites & Distribution: Prior knowledge of first year calculus and permission of the Honors advisor. Credit is granted for only one course from among Math. 112, 113, 115, 185, and 295. (4). (MSA). (BS). (QR/1).

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Math. 316. Differential Equations.

Prerequisites & Distribution: Math. 215 and 217. Credit can be received for only one of Math. 216 or Math. 316, and credit can be received for only one of Math. 316 or Math. 404. (3). (Excl). (BS).

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

Section 001.

Prerequisites & Distribution: Engineering 101, and Math. 216. (3). (Excl). (BS).

No Description Provided.

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Math. 395. Honors Analysis I.

Section 001.

Prerequisites & Distribution: Math. 296 or permission of the Honors advisor. (4). (Excl). (BS).

No Description Provided.

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Math. 399. Independent Reading.

Prerequisites & Distribution: (1-6). (Excl). (INDEPENDENT). May be repeated for credit.

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Math. 412. Introduction to Modern Algebra.

Prerequisites & Distribution: Math. 215, 255, or 285; and 217. No credit granted to those who have completed or are enrolled in 512. Students with credit for 312 should take 512 rather than 412. One credit granted to those who have completed 312. (3). (Excl). (BS).

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Math. 413. Calculus for Social Scientists.

Section 001.

Prerequisites & Distribution: Not open to freshmen, sophomores or mathematics concentrators. (3). (Excl). (BS).

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Math. 416. Theory of Algorithms.

Section 001.

Prerequisites & Distribution: Math. 312 or 412 or CS 303, and CS 380. (3). (Excl). (BS).

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Math. 417. Matrix Algebra I.

Prerequisites & Distribution: Three courses beyond Math. 110. No credit granted to those who have completed or are enrolled in 217, 419, or 513. (3). (Excl). (BS).

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

Prerequisites & Distribution: Four terms of college mathematics beyond Math 110. No credit granted to those who have completed or are enrolled in 217 or 513. One credit granted to those who have completed Math. 417. (3). (Excl). (BS).

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

Section 001 Risk Management and Insurance

Prerequisites & Distribution: Math. 115, junior standing, and permission of instructor. (3). (Excl). (BS).

No Description Provided.

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Math. 423. Mathematics of Finance.

Section 001.

Prerequisites & Distribution: Math. 217 and 425; CS 183. (3). (Excl). (BS).

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Math. 424. Compound Interest and Life Insurance.

Section 001.

Prerequisites & Distribution: Math. 215, 255, or 285. (3). (Excl). (BS).

No Description Provided.

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

Prerequisites & Distribution: Math. 215, 255, or 285. (3). (MSA). (BS).

No Description Provided.

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Math. 431. Topics in Geometry for Teachers.

Section 001.

Prerequisites & Distribution: Math. 215, 255, or 285. (3). (Excl). (BS).

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Math. 433. Introduction to Differential Geometry.

Section 001.

Prerequisites & Distribution: Math. 215, or 255 or 285, and Math. 217(3). (Excl). (BS).

No Description Provided.

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Math. 450. Advanced Mathematics for Engineers I.

Prerequisites & Distribution: Math. 216, 256, 286, or 316. (4). (Excl). (BS).

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Math. 451. Advanced Calculus I.

Prerequisites & Distribution: Math. 215 and one course beyond Math. 215; or Math. 255 or 285. Intended for concentrators; other students should elect Math. 450. (3). (Excl). (BS).

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

Section 001.

Prerequisites & Distribution: Math. 216, 256, 286, or 316. Students with credit for Math. 354 can elect Math. 454 for one credit. (3). (Excl). (BS).

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Math. 471. Introduction to Numerical Methods.

Prerequisites & Distribution: Math. 216, 256, 286, or 316; and 217, 417, or 419; and a working knowledge of one high-level computer language. (3). (Excl). (BS).

No Description Provided.

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Math. 481. Introduction to Mathematical Logic.

Section 001.

Prerequisites & Distribution: Math. 412 or 451 or equivalent experience with abstract mathematics. (3). (Excl). (BS).

No Description Provided.

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

Section 001.

Prerequisites & Distribution: One year of high school algebra. No credit granted to those who have completed or are enrolled in 385. (3). (Excl). (BS). May not be included in a concentration plan in mathematics.

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

Section 001.

Prerequisites & Distribution: Math. 385 or 485. May not be used in any graduate program in mathematics. (3). (Excl).

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Math. 497. Topics in Elementary Mathematics.

Section 001.

Prerequisites & Distribution: Math. 489. (3). (Excl). (BS). May be repeated for a total of six credits.

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Math. 513. Introduction to Linear Algebra.

Section 001.

Prerequisites & Distribution: Math. 412 or permission of Honors advisor. Two credits granted to those who have completed Math. 417; one credit granted to those who have completed Math 217 or 419. (3). (Excl). (BS).

No Description Provided.

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Math. 520. Life Contingencies I.

Section 001.

Prerequisites & Distribution: Math. 424 and Math. 425. (3). (Excl). (BS).

No Description Provided.

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Math. 523. Risk Theory.

Section 001.

Prerequisites & Distribution: Math. 425. (3). (Excl). (BS).

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Math. 524. Topics in Actuarial Science II.

Section 001.

Prerequisites & Distribution: Math. 424, 425, and 520; and Stat. 426. (3). (Excl). (BS). May be repeated for a total of 9 credits.

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Math. 525/Stat. 525. Probability Theory.

Section 001.

Prerequisites & Distribution: Math. 450 or 451. Students with credit for Math. 425/Stat. 425 can elect Math. 525/Stat. 525 for only one credit. (3). (Excl). (BS).

No Description Provided.

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Math. 535. Introduction to Algebraic Curves.

Section 001.

Prerequisites & Distribution: Math. 513. (3). (Excl). (BS).

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Math. 537. Introduction to Differentiable Manifolds.

Section 001.

Prerequisites & Distribution: Math. 513 and 590. (3). (Excl). (BS).

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Math. 555. Introduction to Functions of a Complex Variable with Applications.

Section 001.

Instructor(s): Charles Doering

Prerequisites & Distribution: Math. 450 or 451. (3). (Excl). (BS).

No Description Provided.

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Math. 556. Methods of Applied Mathematics I.

Section 001.

Prerequisites & Distribution: Math. 217, 419, or 513; 451 and 555. (3). (Excl). (BS).

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Math. 561/SMS 518 (Business Administration)/IOE 510. Linear Programming I.

Section 001.

Instructor(s): Murty

Prerequisites & Distribution: Math. 217, 417, or 419. (3). (Excl). (BS).

No Description Provided.

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Math. 562/IOE 511/Aero. 577. Continuous Optimization Methods.

Section 001.

Instructor(s): Saigal

Prerequisites & Distribution: Math. 217, 417, or 419. (3). (Excl). (BS).

No Description Provided.

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Math. 565. Combinatorics and Graph Theory.

Section 001.

Prerequisites & Distribution: Math. 412 or 451 or equivalent experience with abstract mathematics. (3). (Excl). (BS).

No Description Provided.

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Math. 571. Numerical Methods for Scientific Computing I.

Section 001.

Prerequisites & Distribution: Math. 217, 417, 419, or 513; and one of Math. 450, 451, or 454. (3). (Excl). (BS).

No Description Provided.

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Math. 575. Introduction to Theory of Numbers I.

Section 001.

Prerequisites & Distribution: Math. 451 and 513. Students with credit for Math. 475 can elect Math. 575 for 1 credit. (3). (Excl). (BS).

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Math. 590. Introduction to Topology.

Section 001.

Prerequisites & Distribution: Math. 451. (3). (Excl). (BS).

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Math. 591. General and Differential Topology.

Section 001.

Prerequisites & Distribution: Math. 451. (3). (Excl). (BS).

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Math. 593. Algebra I.

Section 001.

Prerequisites & Distribution: Math. 513. (3). (Excl). (BS).

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Math. 596. Analysis I.

Section 001.

Prerequisites & Distribution: Math. 451. (3). (Excl). (BS). Students with credit for Math. 555 may elect Math 596 for two credits only.

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