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Spring/Summer 2001 Course Guide

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Courses in Mathematics

This page was created at 7:00 PM on Fri, Jul 27, 2001.


Calendars

Spring Half-Term, 2001 (May 1 June 22)
Spring/Summer Term, 2001 (May 1 August 17)
Summer Half-Term, 2001 (June 27 August 17)


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Spring Half-Term Courses

Wolverine Access Subject listing for MATH

Spring Term '01 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 (except 385, 489 or 497).

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.

Attention Potential Elementary School Teachers: Math 489 is Offered this Spring Term

All elementary teaching certificate candidates are required to take two mathematics courses, Math 385 and Math 489, either before or after admission to the School of Education. Math 385 is offered in the Fall, Math 489 in the Winter. Due to increasing enrollments, Math 489 will be offered this Spring Term (IIIA, 2001) as well. Since class size limits in Winter 2002 will be strictly enforced, anyone who can elect Math 489 in the Spring Term is urged to do so. It is the surest way to guarantee oneself a place in the course. The next Spring Term offering of Math 489 will be in 2003. For further information, contact Prof. Krause at 763-1186 or at his office, 3086 East Hall.

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 115. Calculus I.

Instructor(s):

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).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

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. 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. The cost for this course is over $100 since the student will need a text (to be used for 115 and 116) and a graphing calculator (the Texas Instruments TI-83 is recommended).

Text:
Calculus, 2nd Edition, Hughes-Hallet/Gleason, Wiley Publishing.
TI-83 Graphing Calculator, Texas Instruments.
Student Solutions Manual, Hughes-Hallet/Gleason, Wiley Publishing.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 116. Calculus II.

Instructor(s):

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).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

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, infinite series. Math 186 is a somewhat more theoretical course which covers much of the same material, offered only in the Winter term. 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, offered in the Fall term.

Text:
Calculus, 2nd Edition, Hughes-Hallet/Gleason, Wiley Publishing.
TI-83 Graphing Calculator, Texas Instruments.
Student Solutions Manual, Hughes-Hallet/Gleason, Wiley Publishing.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 215. Calculus III.

Instructor(s):

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. Credit can be earned for only one of Math. 215, 255, or 285. (4). (MSA). (BS). (QR/1).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

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 concentrate 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 midterm and final exam.

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 software. Math 285 is a somewhat more theoretical course which covers the same material, offered only in the Fall term. For students intending to concentrate in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is Math 217. Students who intend to take only one further mathematics course and need differential equations should take Math 216.

Text: Choice of either:
Calculus, 4th edition, James Stewart, Brooks/Cole Publishing
or
Multivariable Calculus, 4th edition, James Stewart, Brooks/Cole Publishing
and
Course pack, Uribe, Gavosto, Hayden-McNeil.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 216. Introduction to Differential Equations.

Instructor(s):

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. Credit can be earned for only one of Math. 216, 256, 286, or 316. No credit granted to those who have completed or are enrolled in Math 214. (4). (MSA). (BS).

Credits: (4).

Course Homepage: No Homepage Submitted.

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 concentrators and other students who have some interest in the theory of mathematics should elect the sequence Math 217-316.

After an introduction to ordinary differential equations, the first half of the course is devoted to topics in linear algebra, including systems of linear algebraic equations, vector spaces, linear dependence, bases, dimension, matrix algebra, determinants, eigenvalues, and eigenvectors. In the second half these tools are applied to the solution of linear systems of ordinary differential equations. Topics include: oscillating systems, the Laplace transform, initial value problems, resonance, phase portraits, and an introduction to numerical methods. There is a weekly computer lab using MATLAB software. This course is not intended for mathematics concentrators, who should elect the sequence 217-316. Math 286 covers much of the same material in the Honors sequence, offered in the Winter term. The sequence Math 217-316 covers all of this material and substantially more at greater depth and with greater emphasis on the theory. Math 404 covers further material on differential equations. Math 217 and 417 cover further material on linear algebra. Math 371 and 471 cover additional material on numerical methods.

Text: Differential Equations, Computing and Modeling, 2nd edition, Edwards and Penney, Prentice Hall Publishing.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 333. Directed Tutoring.

Instructor(s): Eugene F Krause

Prerequisites & Distribution: Math. 385 and enrollment in the Elementary Program in the School of Education. (1-3). (Excl). (EXPERIENTIAL). May be repeated for a total of three credits.

Credits: (1-3).

Course Homepage: No Homepage Submitted.

An experiential mathematics course for exceptional upper-level students in the elementary teacher certification program. Students tutor needy beginners enrolled in the introductory courses (Math 385 and Math 489) required of all elementary teachers.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 399. Independent Reading.

Instructor(s):

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

Credits: (1-6).

Course Homepage: No Homepage Submitted.

Designed especially for Honors students.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 417. Matrix Algebra I.

Section 101.

Instructor(s):

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

Credits: (3).

Course Homepage: No Homepage Submitted.

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 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.

Text: Linear Algebra with Applications, Otto Bretscher, Prentice Hall Publishing.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 425/Stat. 425. Introduction to Probability.

Section 101.

Instructor(s):

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

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, and covariances. Different instructors will vary the emphasis. Math 525 is a similar course for students with stronger mathematical background and ability. Stat 426 is a natural sequel for students interested in statistics. Math 523 includes many applications of probability theory.

Text: A First Course in Probability, 5th edition, Sheldon Ross, Prentice Hall Publishing, ISBN: 0-137-46314-6.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 425/Stat. 425. Introduction to Probability.

Section 102.

Instructor(s):

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

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, and covariances. Different instructors will vary the emphasis. Math 525 is a similar course for students with stronger mathematical background and ability. Stat 426 is a natural sequel for students interested in statistics. Math 523 includes many applications of probability theory.

Text: A First Course in Probability, 5th edition, Sheldon Ross, Prentice Hall Publishing, ISBN: 0-137-46314-6.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 451. Advanced Calculus I.

Section 101.

Instructor(s):

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).

Credits: (3).

Course Homepage: No Homepage Submitted.

Background and Goals. 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.

Content. The material usually covered is essentially that of Ross' book. Chapter I deals with the properties of the real number system including (optionally) its construction from the natural and rational numbers. Chapter II concentrates on sequences and their limits, Chapters III and IV on the application of these ideas to continuity of functions, and sequences and series of functions. Chapter V covers the basic properties of differentiation and Chapter VI does the same for (Riemann) integration culminating in the proof of the Fundamental Theorem of Calculus. Along the way there are presented generalizations of many of these ideas from the real line to abstract metric spaces.

Text: Elementary Analysis the Theory of Calculus, Kenneth Ross, Springer-Verlag.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 454. Boundary Value Problems for Partial Differential Equations.

Section 101.

Instructor(s):

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

Credits: (3).

Course Homepage: No Homepage Submitted.

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; 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.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 489. Mathematics for Elementary and Middle School Teachers.

Section 101.

Instructor(s): Eugene Krause

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

Credits: (3).

Course Homepage: No Homepage Submitted.

All elementary teaching certificate candidates are required to take two mathematics courses, Math 385 and Math 489, either before or after admission to the School of Education. Math 385 is offered in the Fall, Math 489 in the Winter. Due to increasing enrollments, Math 489 will be offered this Spring Term (IIIA, 2001) as well. Since class size limits in Winter 2002 will be strictly enforced, anyone who can elect Math 489 in the Spring Term is urged to do so. It is the surest way to guarantee oneself a place in the course. The next Spring Term offering of Math 489 will be in 2003. For further information, contact Prof. Krause at 763-1186 or at his office, 3086 East Hall.

This course, together with its predecessor Math 385, 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. Topics covered include fractions and rational numbers, decimals and real numbers, probability and statistics, geometric figures, and measurement. Algebraic techniques and problem-solving strategies are used throughout the course.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

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

Section 101.

Instructor(s):

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

Credits: (3).

Course Homepage: No Homepage Submitted.

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. Differentiation and integration of complex valued functions of a complex variable, series, mappings, residues, applications. Evaluation of improper real integrals, fluid dynamics. Math 596 covers all of the theoretical material of Math 555 and usually more at a higher level and with emphasis on proofs rather than applications. Math 555 is prerequisite to many advanced courses in science and engineering fields.

Text: Complex Variables with Applications, 6th edition, Brown/Churchill, McGraw Hill Publishing.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

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

Section 101.

Instructor(s):

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

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Spring/Summer Term Courses

Wolverine Access Subject listing for MATH

Spring/Summer Term '01 Time Schedule for Mathematics


MATH 399. Independent Reading.

Instructor(s):

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

Credits: (1-6).

Course Homepage: No Homepage Submitted.

Designed especially for Honors students.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

Summer Half-Term Courses

Wolverine Access Subject listing for MATH

Summer Term '01 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 (except 385, 489 or 497).

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.

Attention Potential Elementary School Teachers: Math 489 is Offered this Spring Term

All elementary teaching certificate candidates are required to take two mathematics courses, Math 385 and Math 489, either before or after admission to the School of Education. Math 385 is offered in the Fall, Math 489 in the Winter. Due to increasing enrollments, Math 489 will be offered this Spring Term (IIIA, 2001) as well. Since class size limits in Winter 2002 will be strictly enforced, anyone who can elect Math 489 in the Spring Term is urged to do so. It is the surest way to guarantee oneself a place in the course. The next Spring Term offering of Math 489 will be in 2003. For further information, contact Prof. Krause at 763-1186 or at his office, 3086 East Hall.

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 103. Intermediate Algebra.

* MATH 103 BRIDGE PROGRAM STUDENTS ONLY.

Instructor(s):

Prerequisites & Distribution: Only open to designated summer half-term Bridge students. (2). (Excl).

Credits: (2 in the half-term).

Course Homepage: No Homepage Submitted.

No Description Provided.

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MATH 105. Data, Functions, and Graphs.

Instructor(s):

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).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

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MATH 115. Calculus I.

Instructor(s):

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).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

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MATH 116. Calculus II.

Instructor(s):

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).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

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MATH 215. Calculus III.

Instructor(s):

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. Credit can be earned for only one of Math. 215, 255, or 285. (4). (MSA). (BS). (QR/1).

Full QR

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

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MATH 216. Introduction to Differential Equations.

Instructor(s):

Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. Credit can be earned for only one of Math. 216, 256, 286, or 316. No credit granted to those who have completed or are enrolled in Math 214. (4). (MSA). (BS).

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


MATH 399. Independent Reading.

Instructor(s):

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

Credits: (1-6).

Course Homepage: No Homepage Submitted.

Designed especially for Honors students.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: No Data Given.

MATH 417. Matrix Algebra I.

Section 201.

Instructor(s):

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

Credits: (3).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


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

Section 201.

Instructor(s): Douglas A Cenzer

Prerequisites & Distribution: Four terms of college mathematics 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. (3). (Excl). (BS). 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.

Check Times, Location, and Availability


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

Section 202.

Instructor(s):

Prerequisites & Distribution: Four terms of college mathematics 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. (3). (Excl). (BS). 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.

Check Times, Location, and Availability


MATH 425/Stat. 425. Introduction to Probability.

Section 201.

Instructor(s):

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

Credits: (3).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


MATH 450. Advanced Mathematics for Engineers I.

Section 201.

Instructor(s):

Prerequisites & Distribution: Math. 215, 255, or 285. (4). (Excl). (BS).

Credits: (4).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


MATH 471. Introduction to Numerical Methods.

Section 101.

Instructor(s):

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).

Credits: (3).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


MATH 485. Mathematics for Elementary School Teachers and Supervisors.

Section 201.

Instructor(s):

Prerequisites & Distribution: One year of high school algebra. No credit granted to those who have completed or are enrolled in 385. (2). (Excl). (BS). May not be included in a concentration plan in mathematics.

Credits: (3; 2 in the half-term).

Course Homepage: No Homepage Submitted.

No Description Provided.

Check Times, Location, and Availability


Graduate Course Listings for MATH.


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