Transfer Student Courses in MathematicsConsult the new Course Guide at: http://www.lsa.umich.edu/lsa/cg_subjectlist/0,2030,8,00.html?show=20&termArray=f_04_1510&cgtype=ug This page was created at 12:39 PM on Wed, May 5, 2004. Fall Academic Term, 2004 (September 7 - December 23)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 admission 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 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 taught through the Math Lab and is only open to students in MATH 115 who find that they need additional preparation to successfully complete the course. A maximum total of 4 credits may be earned in courses numbered 103, 105, and 110. MATH 103 is offered exclusively in the Summer half-term for students in the Summer Bridge Program. MATH 107, Mathematics for the Information Age, is a course for students who may not want or need to take calculus. It encourages mathematical exploration of a variety of topics both inside and outside of mathematics. 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 credit for a 200-(or higher) level MATH course. Each of MATH 115, 185, and 295 is a first course in calculus. Generally credit can be received for only one of 115 or 185. The sequence MATH 115-116-215 is appropriate for must students who want a complete introduction to calculus. One of 215, 255, 285, or 395 is prerequisite to most more advanced courses in Mathematics. The sequences MATH 156-255-256, 175-186-285-286, 185-186-285-286, and 295-296-395-396 are Honors sequences. Students need not be enrolled in the LS&A Honors Program to enroll in any of these courses but must have the permission of an Honors advisor. Students with strong preparation and interest in mathematics are encouraged to consider these courses. 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 175-186 assumes a knowledge of calculus roughly equivalent to MATH 115 and covers a substantial amount of so-called combinatorial mathematics as well as calculus-related topics not usually part of the calculus sequence. MATH 175 is 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. MATH 295-396 is excellent preparation for mathematics at the advanced undergraduate and beginning 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 is one course expressly designed and recommended for students with one or two semesters of AP credit, MATH 156. 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 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, a student 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 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 to optimal treatment of differential equations in MATH 316. MATH 216 is not intended for concentrators in pure mathematics. A maximum total of 4 credits may be earned in MATH 103, 105, and 110. 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 147. Introduction to Interest Theory.Section 001.Instructor(s):Prerequisites & Distribution: Three to four years high school mathematics. (3). (MSA). (BS). May not be repeated for credit. No credit granted to those who have completed a 200- (or higher) level mathematics course. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 214. Linear Algebra and Differential Equations.Instructor(s):Prerequisites & Distribution: MATH 115 and 116. (4). (MSA). (BS). (QR/1). May not be repeated for credit. 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. Most students take only one course from among MATH 214, 217, 417, 419, and 513.
Credits: (4). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 215. Calculus III.Instructor(s):Prerequisites & Distribution: MATH 116. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 215, 255, or 285.
Credits: (4). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 216. Introduction to Differential Equations.Instructor(s):Prerequisites & Distribution: MATH 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit can be earned for only one of MATH 216, 256, 286, or 316.
Credits: (4). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 316. Differential Equations.
Instructor(s):Prerequisites & Distribution: MATH 215 and 217. (3). (Excl). (BS). May not be repeated for credit. Credit can be earned for only one of MATH 216, 256, 286, or 316. Credits: (3). Course Homepage: No homepage submitted. 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. 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. MATH 216 covers somewhat less material without the use of linear algebra and with less emphasis on theory. MATH 286 is the Honors version of MATH 316. MATH 471 and/or MATH 572 are natural sequels in the area of differential equations, but MATH 316 is also preparation for more theoretical courses such as MATH 451.
MATH 371 / ENGR 371. Numerical Methods for Engineers and Scientists.Instructor(s):Prerequisites & Distribution: ENGR 101; one of MATH 216, 256, 286, or 316; and one of MATH 215, 217, 417, or 419. (3). (Excl). (BS). May not be repeated for credit. No credit granted to those who have completed or are enrolled in Math 471 or 472. CAEN lab access fee required for non-Engineering students. Credits: (3). Lab Fee: CAEN lab access fee required for non-Engineering students. Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 385. Mathematics for Elementary School Teachers.Section 001.Instructor(s):Prerequisites & Distribution: One year each of high school algebra and geometry. (3). (Excl). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 485. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 385. Mathematics for Elementary School Teachers.Section 002.Instructor(s):Prerequisites & Distribution: One year each of high school algebra and geometry. (3). (Excl). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 485. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 404. Intermediate Differential Equations and Dynamics.Section 001.Instructor(s):Prerequisites & Distribution: MATH 216, 256 or 286, or 316. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 412. Introduction to Modern Algebra.Instructor(s):Prerequisites & Distribution: MATH 215, 255, or 285; and 217. (3). (Excl). (BS). May not be repeated for credit. 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. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 416. Theory of Algorithms.Section 001.Instructor(s):Prerequisites & Distribution: MATH 312 or 412 or EECS 203, and EECS 281. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 417. Matrix Algebra I.Instructor(s):Prerequisites & Distribution: Three courses beyond MATH 110. (3). (Excl). (BS). May not be repeated for credit. 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. Most students take only one course from among MATH 214, 217, 417, 419, and 513. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 419. Linear Spaces and Matrix Theory.Instructor(s):Prerequisites & Distribution: Four courses beyond MATH 110. (3). (Excl). (BS). May not be repeated for credit. 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. Most students take only one course from among MATH 214, 217, 417, 419, and 513. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 423. Mathematics of Finance.Instructor(s):Prerequisites & Distribution: MATH 217 and 425; EECS 183. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 425 / STATS 425. Introduction to Probability.
Instructor(s): MATHEMATICS FACULTYPrerequisites & Distribution: MATH 215, 255, or 285. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. 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. 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. STATS 426 is a natural sequel for students interested in statistics. MATH 523 includes many applications of probability theory.
MATH 425 / STATS 425. Introduction to Probability.
Instructor(s): STATISTICS FACULTYPrerequisites & Distribution: MATH 215, 255, or 285. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted.
MATH 431. Topics in Geometry for Teachers.
Instructor(s):Prerequisites & Distribution: MATH 215, 255, or 285. (3). (Excl). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. 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 432 and 433. Although it is not strictly a prerequisite, Math 431 is good preparation for 531.
MATH 433. Introduction to Differential Geometry.Section 001.Instructor(s):Prerequisites & Distribution: MATH 215 (or 255 or 285), and 217. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 450. Advanced Mathematics for Engineers I.Instructor(s):Prerequisites & Distribution: MATH 215, 255, or 285. (4). (Excl). (BS). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 354 or 454. Credits: (4). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 451. Advanced Calculus I.Instructor(s):Prerequisites & Distribution: Previous exposure to abstract mathematics (MATH 217 and 412). (3). (Excl). (BS). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 351. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 454. Boundary Value Problems for Partial Differential Equations.Instructor(s):Prerequisites & Distribution: MATH 216, 256, 286, or 316. (3). (Excl). (BS). May not be repeated for credit. 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. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 471. Introduction to Numerical Methods.Instructor(s):Prerequisites & Distribution: MATH 216, 256, 286, or 316; and 214, 217, 417, or 419; and a working knowledge of one high-level computer language. (3). (Excl). (BS). May not be repeated for credit. No credit granted to those who have completed or are enrolled in MATH 371 or 472. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 481. Introduction to Mathematical Logic.Section 001.Instructor(s):Prerequisites & Distribution: MATH 412 or 451 or equivalent experience with abstract mathematics. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 497. Topics in Elementary Mathematics.
Section 001.Instructor(s):Prerequisites & Distribution: MATH 489. (3). (Excl). (BS). May be repeated for credit for a maximum of 6 credits. Credits: (3). Course Homepage: No homepage submitted. 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. 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.
MATH 501. Applied & Interdisciplinary Mathematics Student Seminar.Section 001.Instructor(s):Prerequisites & Distribution: At least two 300 or above level math courses, and graduate standing; Qualified undergraduates with permission of instructor only. (1). (Excl). May be repeated for credit for a maximum of 6 credits. Offered mandatory credit/no credit. Credits: (1). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 513. Introduction to Linear Algebra.Section 001.Instructor(s):Prerequisites & Distribution: MATH 412 or equivalent experience with abstract mathematics. (3). (Excl). (BS). May not be repeated for credit. Two credits granted to those who have completed MATH 214, 217, 417, or 419. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 525 / STATS 525. Probability Theory.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451 (strongly recommended) or 450. MATH 425 would be helpful. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 537. Introduction to Differentiable Manifolds.Section 001.Instructor(s):Prerequisites & Distribution: MATH 513 and 590 or 591. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 555. Introduction to Functions of a Complex Variable with Applications.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451 or equivalent experience with abstract mathematics. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 556. Methods of Applied Mathematics I.Section 001.Instructor(s):Prerequisites & Distribution: MATH 217, 419, or 513; 451 and 555. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 561 / IOE 510 / OMS 518. Linear Programming I.Section 001.Instructor(s): Katta G Murty (murty@umich.edu)Prerequisites & Distribution: MATH 217, 417, or 419. (3). (Excl). (BS). May not be repeated for credit. CAEN lab access fee required for non-Engineering students. Business School Network fee may be required for non-Business students. Credits: (3). Lab Fee: CAEN lab access fee required for non-Engineering students. Business School Network fee may be required for non-Business students. Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 562 / IOE 511 / AEROSP 577. Continuous Optimization Methods.Section 001.Instructor(s): Romesh Saigal (rsaigal@umich.edu)Prerequisites & Distribution: MATH 217, 417, or 419. (3). (Excl). (BS). May not be repeated for credit. CAEN lab access fee required for non-Engineering students. Credits: (3). Lab Fee: CAEN lab access fee required for non-Engineering students. Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 565. Combinatorics and Graph Theory.Section 001.Instructor(s):Prerequisites & Distribution: MATH 412 or 451 or equivalent experience with abstract mathematics. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 571. Numerical Methods for Scientific Computing I.Section 001.Instructor(s):Prerequisites & Distribution: MATH 214, 217, 417, 419, or 513; and one of MATH 450, 451, or 454. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 575. Introduction to Theory of Numbers I.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451 and 513. (1, 3). (Excl). (BS). May not be repeated for credit. Students with credit for MATH 475 can elect MATH 575 for 1 credit. Credits: (1, 3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 590. Introduction to Topology.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 591. General and Differential Topology.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 593. Algebra I.Section 001.Instructor(s):Prerequisites & Distribution: MATH 513. (3). (Excl). (BS). May not be repeated for credit. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
MATH 596. Analysis I.Section 001.Instructor(s):Prerequisites & Distribution: MATH 451. (3). (Excl). (BS). May not be repeated for credit. Students with credit for MATH 555 may elect MATH 596 for two credits only. Credits: (3). Course Homepage: No homepage submitted. No Description Provided. Contact the Department.
Consult the new Course Guide at: http://www.lsa.umich.edu/lsa/cg_subjectlist/0,2030,8,00.html?show=20&termArray=f_04_1510&cgtype=ug This page was created at 12:39 PM on Wed, May 5, 2004.
University of Michigan | College of LS&A | Student Academic Affairs | LS&A Bulletin Index | Department Homepage This page maintained by LS&A Advising Technology (webmaster_saa@umich.edu), G255-E Angell Hall Copyright © 2004 The Regents of the University of Michigan,
Trademarks of the University of Michigan may not be electronically or otherwise altered or separated from this document or used for any non-University purpose. |
