ADVANCED
PLACEMENT: Courses in this subject field that are vertical in content
are: Math 170-175-275-471-472.
CREDIT LIMITATIONS: Math 108 carries no credit after Math 137
or 143; Math 137 carries no credit after Math 143; Math 143 carries
no credit after 160 or 170; Math 161 carries no credit after Math 175;
Math 170 carries 2 credits after 160; Math 160 carries no credit after
170.
Math 108 Intermediate Algebra (3 cr) (C) (Math 107).
Carries no credit after Math
137 or 143. Review
of algebra including factoring, rational expressions, exponents, radicals,
quadratic equations, equations of lines. Taught in the Polya Math Center,
a studio environment featuring group study, one-to-one interaction with
instructors, computer-mediated modules, and lectures. Does not satisfy
core requirement.
Math 123 The Spirit of Mathematics (3 cr).
May be used as core credit in J-3-c.
For students who are curious about what mathematics is and what mathematicians
do but who do not plan to use mathematics as a tool in their careers;
discussion of some aspects of mathematics through study of problems
of "applied" and of "pure" type, taken from areas such as number theory,
geometry, topology, probability, and combinatorics; discussion of the
historical development.
Math 130 Finite Mathematics (3 cr) (C).
May be used as core credit in J-3-c.
Systems of linear equations and inequalities, matrices, linear programming,
and probability. Prereq: 1 yr high school algebra, 1 yr plane geometry,
and sufficient score on SAT, ACT, or COMPASS Math Test.
Math 137 Algebra with Applications (3 cr).
May be used as core credit in J-3-c.
Carries no credit after Math
143. Algebraic, exponential, logarithmic functions, systems of equations,
applications. Prereq: 1-1/2 years high school algebra, 1 yr high school
plane geometry, and sufficient score on SAT, ACT, or COMPASS Math Test;
or Math 108 with grade of C or better. To remain enrolled in the course
a student must pass an Algebra Skills Test given within the first three
weeks of the course. It is recommended that Math 137 be taken within
two years of passing Math
108 or its equivalent.
Math 143 Pre-calculus Algebra and Analytic Geometry (3 cr) (C).
May be used as core credit in J-3-c.
Carries no credit after Math
160 or 170. Algebraic,
exponential, logarithmic functions; graphs of conics; zeros of polynomials;
systems of equations, induction. Taught in the Polya Math Center, a
studio environment featuring group study, one-to-one interaction with
instructors, computer-mediated modules, and lectures. Prereq: 1-1/2
yrs high school algebra, 1 yr high school plane geometry, and sufficiently
high score on SAT, ACT, or COMPASS Math Test; or Math 108 with grade
of C or better. To remain enrolled in the course a student must pass
an Algebra Skills Test given within the first three weeks of the course.
It is recommended that Math 143 be taken within two years of passing
Math 108 or its equivalent.
Math 144 Analytic Trigonometry (1 cr) (C).
Not open for cr to students who have previous high school or college
cr in trigonometry. Trigonometric functions, inverse functions, applications.
Taught in the Polya Math Center, a studio environment featuring group
study, one-to-one interaction with instructors, computer-mediated modules,
and lectures. Prereq: 2 yrs high school algebra (or Math
143) and 1 yr plane geometry, and perm of dept. Concurrent enrollment
in Math 143 or 170
permitted.
Math 160 Survey of Calculus (4 cr) (C).
May be used as core credit in J-3-c.
Carries no credit after Math
170. Functions, graphing, derivative, integral, exponential and
logarithmic functions, functions of several variables. Prereq: One yr
of high school geometry and one of the following: (1) 1-1/2 yrs high
school algebra and sufficiently high score on SAT, ACT, or COMPASS Math
Test, or (2) Math 137,
or (3) Math 143, or
(4) a grade of A or B in Math
108.
Math 161 Survey of Calculus II (3 cr).
Carries no credit after Math
175. Functions of several variables, integration, probability, and
infinite series; applications to business, social sciences, and the
life sciences. Prereq: Math
160.
Math 170 Analytic Geometry and Calculus I (4 cr) (C).
May be used as core credit in J-3-c.
Carries 2 credits after Math
160. Functions, limits, continuity, differentiation, integration,
applications, differentiation and integration of transcendental functions.
Prereq: Math 143, or
2 yrs high school algebra and 1 yr plane geometry and 1/2 yr analytic
trigonometry and sufficiently high score on SAT, ACT, or COMPASS Math
Test.
Math 175 Analytic Geometry and Calculus II (4 cr).
Differentiation and integration of transcendental functions, integration
techniques, general mean value theorem, numerical techniques, and series.
Prereq: Math 170.
Math 176 Discrete Mathematics (3 cr).
Induction, set theory, graph theory, number systems, Boolean algebra,
and elementary counting. Prereq: two yrs high school algebra and sufficiently
high score on SAT, ACT, or COMPASS Math Test; or Math
143.
Math 202 (s) Seminar (cr arr). Prereq: perm.
Math 204 (s) Special Topics (cr arr). Prereq: perm.
Math 215 Seminar in Topology of the Plane (3 cr).
Carries no credit after Math
411 or 471. Primary
goal is to teach students to prove theorems; open and closed sets, connectedness,
compactness, continuity, etc. Class size limited to 15. Prereq: Math
170, 175, and perm.
Math 235 Mathematics for Elementary Teachers I (3 cr) (C).
Mathematical development of arithmetic and problem solving as those
subjects are currently taught in elementary schools. Three lec and one
1-hr lab a wk. Prereq: passing Arithmetic Skills Test, 1 year of plane
geometry, and Math 143
or 137 (or sufficient
score on SAT, ACT, or COMPASS Math Test).
Math 236 Mathematics for Elementary Teachers II (3 cr) (C).
Mathematical development of informal geometry, problem solving, and
probability and statistics as those subjects are currently taught in
elementary schools. Three lec and one 1-hr lab a wk. Prereq: Math
235.
Math 253 Principles of Statistics (3 cr).
See Stat 251.
Math 255 Applied Actuarial Science I (0 cr).
Review of calculus and linear algebra in preparation for Actuarial Exam
1. Prereq: Math 275,
330.
Math 275 Analytic Geometry and Calculus III (3 cr).
Vectors, functions of several variables, and multiple integration. Prereq:
Math 175.
Math 286 Theory of Numbers (3 cr).
Elementary number theory, including divisibility properties, congruences,
and Diophantine equations. Prereq: Math
143 or perm.
Math 299 (s) Directed Study (cr arr). Prereq: perm.
Math 310 Ordinary Differential Equations (3 cr).
Classification, initial and boundary value problems of one variable,
exact equations, methods of solving higher-order linear equations, second-order
equations with constant coefficient, series solutions, systems of linear
equations, Laplace transforms, and existence theorems. Prereq: Math
175 (275 recommended).
Math H315 Topics in Pure Mathematics (3 cr).
A topic selected each yr that develops skill and appreciation for theoretical
nature of mathematics. Prereq: Math
160 or 170 and perm
of director of University Honors Program.
Math 326 Linear Programming (3 cr).
Geometric solutions, simplex method, duality and revised simplex method,
sensitivity, integer programming, applications. Prereq: Math
160 or 170.
Math 330 Linear Algebra (3 cr).
Linear equations, matrices, linear transformations, eigenvalues, diagonalization;
applications. Prereq: Math
160 or 170.
Math 346 Applied Combinatorics (3 cr).
Elementary counting methods, generating functions, recurrence relations,
Polya's enumeration, enumeration of graphs, trees, searching, combinatorial
algorithms. Prereq: Math
175; recommended prereq: Math
176 or 376 or 475.
Math 371 Mathematical Physics (3 cr).
See Phys 371.
Math 376 Discrete Mathematics II (3 cr).
Selected topics from discrete mathematics such as graph theory, modeling,
and optimization. Prereq: Math
176 or perm.
Math 390 Geometry (3 cr).
Topics chosen from finite geometries, Euclidean and non-Euclidean geometries,
convexity, transformational geometry, and intuitive geometry. Prereq:
high school geometry and Math
215, or perm.
Math 400 (s) Seminar (cr arr). Prereq: perm.
Math 404 (s) Special Topics (cr arr). Prereq: perm.
Math 411 Elementary Topology (3 cr).
Metric spaces; topological spaces; compactness; connectedness, continuity.
Prereq: Math 275 or
perm. (Alt/yrs)
Math 420 Complex Variables (3 cr).
Complex numbers, elementary functions, derivatives, the residue theorem,
conformal mappings, contour integration, infinite series, applications.
Prereq: Math 275. (Alt/yrs)
Math 426 Discrete Optimization (3 cr).
Optimization on graphs, networks and flows, and related topics. Prereq:
Math 175. (Alt/yrs)
Math 432 Numerical Linear Algebra (3 cr).
Analysis of efficiency and accuracy of large linear algebra problems;
special emphasis on solving linear equations and finding eigenvalues.
Prereq: Math 275, 330,
and knowledge of a computer language. (Alt/yrs)
Math 433 Numerical Analysis (3 cr).
Analysis of numerical methods useful in solving applied problems; solution
of nonlinear equations, interpolation, numerical differentiation and
integration, numerical solution of differential equations. Prereq: Math
275, 330, and knowledge
of a computer language.
Math 435 (s) Topics in Applied Mathematics (cr arr).
Topics chosen from fields of current interest in applied mathematics;
inquire at the Department of Mathematics for a description of topics
for future semesters. Prereq: perm.
Math 437 Mathematical Biology (3 cr).
Modeling biological phenomena, mostly through differential equations;
mathematical topics include stability analysis and limit cycles for
nonlinear ODE's, spatial diffusion and traveling waves for PDE's; biological
topics include models of predator-prey systems, infectious diseases,
and competition. Prereq: Math 310 or perm. (Alt/yrs)
Math ID&WS451 Probability Theory (3 cr).
Same as Stat 451. WSU Math 443. Random variables, expectation, special
distributions (normal, binomial, exponential, etc.), moment generating
functions, law of large numbers, central limit theorem. Prereq: Math
275.
Math ID&WS452 Mathematical Statistics (3 cr).
Same as Stat 452. WSU Math and Stat 456. Estimation of parameters, confidence
intervals, hypothesis testing, likelihood ratio test, sufficient statistics.
Prereq: Math 451.
Math ID&WS-J453/ID&WS-J538 Stochastic
Models (3 cr).
Same as Stat J453/J544. WSU Stat 544. Markov chains, stochastic processes,
and other stochastic models; applications. Additional projects/assignments
reqd for grad cr. Prereq: Math
451 or perm. (Alt/yrs)
Math 455 Applied Actuarial Science II (0 cr).
Review of probability theory in preparation for Actuarial Exam 1. Prereq:
Math 451.
Math 461-462 Abstract Algebra (3 cr).
Groups, rings, and fields. Recommended prereq for Math 461: at least
one of the following: Math
215, 286, 330,
390.
Math 471-472 Advanced Calculus (3 cr).
Topology of Euclidean n-space, limit and continuity, differentiation,
integration. Prereq: Math
275 and 215, or
perm.
Math 475 Analysis of Algorithms (3 cr).
Same as CS 495. Measures of efficiency; standard methods and examples
in the design and analysis of algorithms. Prereq: CS
213 and Math 175.
Math 480 Partial Differential Equations (3 cr).
Intro to Fourier analysis, application to solution of partial differential
equations; classical partial differential equations of engineering and
physics. Prereq: Math 310.
(Alt/yrs)
Math 485 Theory of Computation (3 cr).
Same as CS 490. Mathematical models of computation, including finite
automata and Turing machines. Prereq: perm.
Math 490 Introduction to Set Theory (3 cr).
Set operations, functions, binary operations and relations, cardinal
and ordinal numbers, axiom of choice, partially ordered sets, and Zorn's
lemma. Prereq: Math 275.
(Alt/yrs)
Math 497 (s) Practicum in Tutoring (1 cr, max 2).
Tutorial services performed by advanced students under faculty supervision.
Graded P/F. Prereq: perm of dept.
Math 499 (s) Directed Study (cr arr). Prereq: perm.
Math 500 Master's Research and Thesis (cr arr).
Math 501 (s) Seminar (cr arr). Prereq: perm.
Math 502 (s) Directed Study (cr arr). Prereq: perm.
Math 504 (s) Special Topics (cr arr). Prereq: perm.
Math 505 (s) Professional Development (cr arr).
Cr earned in this course will not be accepted toward grad degree programs.
Prereq: perm.
Math 510 Seminar on College Teaching of Mathematics (1 cr).
Development of skills in the teaching of college mathematics; includes
structure of class time, test construction, and various methods of teaching
mathematics; supervision of teaching assistants in their beginning teaching
assignments. Graded P/F. Prereq: perm.
Math 513 Problem Solving Through History (3 cr).
Historical study of approaches to solving problems in geometry, number
theory, and set theory. This course is specifically designed for the
MAT program, and will not satisfy the requirements of other mathematics
degree programs.
Math 514 Foundations of Calculus (3 cr).
Real numbers, sequences, topology of the real numbers, continuous functions,
differentiation, and integration; emphasis on developing the conceptual
understanding needed to teach calculus in secondary school. This course
is specifically designed for the MAT program, and will not satisfy the
requirements of other mathematics degree programs.
Math 515 Problems in Geometry (3 cr).
Exploration of topics in geometry with emphasis on developing geometric
reasoning and problem solving. This course is specifically designed
for the MAT program, and will not satisfy the requirements of other
mathematics degree programs.
Math 516 Groups and Symmetry (3 cr).
Exploration of groups, symmetry, and permutations. This course is specifically
designed for the MAT program, and will not satisfy the requirements
of other mathematics degree programs.
Math 519 (s) Special Topics (cr arr).
Special topics of interest to mathematics teachers. This course is specifically
designed for the MAT program, and will not satisfy the requirements
of other mathematics degree programs. Prereq: perm.
Math ID&WS521-ID&WS522 Topology
(3 cr). WSU Math 525-526.
Basic concepts of point set and algebraic topology. (Alt/yrs)
Math ID523-ID524 Algebraic Topology (3
cr). WSU Math 527-528.
Basic homotopy theory, covering spaces, homology theory, and applications.
(Alt/yrs)
Math 525 (s) Seminar in Topology (1-3 cr, max arr).
Current literature.
Math 526 (s) Topics in Topology (1-3 cr, max 12).
Math 528 Differentiable Manifolds (3 cr).
Fundamentals of smooth manifolds, tangent spaces, vector fields, Lie
groups, integration on manifolds, and applications. Prereq: Math
411 or 521, and
471.
Math ID&WS531 Complex Variables (3 cr). WSU Math 503.
Theory of functions of a complex variable. (Alt/yrs)
Math 535 Real Variables (3 cr).
Measure and integration theory for functions of one or several variables.
(Alt/yrs)
Math 536 Probability Theory (3 cr).
Random variables, characteristic functions, convergence theorems, central
limit theorem, conditional probability, and stochastic processes as
developed from a measure theoretic basis. Prereq: Math
535 or perm. (Alt/yrs)
Math ID&WS538 Stochastic Models (3 cr).
See Math J453/J538.
Math ID&WS539 Theory of Ordinary Differential Equations (3
cr). WSU Math 512.
Existence, uniqueness, and stability of solutions of first-order systems;
other topics. (Alt/yrs)
Math 540 Partial Differential Equations (3 cr).
Existence and uniqueness theorems for the wave, heat, and Laplace's
equations of physics; additional topics such as nonlinear models in
mathematical biology, perturbation methods, etc. Prereq: Math
539 or perm.
Math ID&WS541 (s) Seminar in Analysis (1-3 cr, max
arr). WSU Math 581.
Current literature.
Math WS543 Approximation Theory (3 cr). WSU Math 543.
Math WS544 Advanced Matrix Computations (3 cr). WSU Math 544.
Math WS547 Numerical Analysis of Elliptic PDE's (3 cr). WSU Math
546.
Math ID550 Linear Algebra (3 cr). WSU Math 554.
Vector spaces, direct sums, quotient spaces, similarity, Jordan forms,
inner products, eigenvalues, eigenvectors, spectral theory. (Alt/yrs)
Math ID551 Ring Theory (3 cr). WSU Math 551.
Ideals, quotient rings, modules, radicals, semisimple Artinian rings,
Noetherian rings. (Alt/yrs)
Math ID552 Galois Theory (3 cr). WSU Math 552.
Field extensions, automorphisms, normality, splitting fields, radical
extensions, finite fields, separability. A knowledge of group theory
is presumed. (Alt/yrs)
Math 553 Group Theory (3 cr).
Permutation groups, isomorphisms, direct products, Sylow theory, normal
series, abelian groups. (Alt/yrs)
Math WS554 Advanced Topics in Geometry (3 cr). WSU Math 550.
(Alt/yrs)
Math ID&WS561 (s) Seminar in Algebra (1-3 cr, max
arr). WSU Math 582.
Current literature.
Math 563 Mathematical Methods for Population Genetics and Evolution
(3 cr). Same as Biol 563.
Investigation of aspects of evolutionary biology with an emphasis on
stochastic models and statistical methods; topics include: diffusion
methods in molecular evolution, gene genealogies and the coalescent,
inferring coalescent times from DNA sequences, population subdivision
and F statistics, likelihood methods for phylogenic inference, statistical
hypothesis testing, the parametric bootstrap. Prereq: Math
160 or 170 and Stat
251 or 301.
Math ID&WS571-ID&WS572 Functional
Analysis (3 cr). WSU Math 504-506.
Linear topological spaces and linear operators. Prereq: Math
536. (Alt/yrs)
Math 575-576 Graph Theory (3 cr).
Basic concepts and theorems; topics include trees and connectivity,
eulerian and hamiltonian graphs, graph colorings, matchings, graph decomposition,
and extremal graph theory. (Alt/yrs)
Math 578 Combinatorial Optimization (3 cr).
Optimization problems on graphs, network flow problems, complexity analysis
of algorithmic solutions, and related topics. (Alt/yrs)
Math 581 (s) Seminar in Combinatorics (1-3 cr, max arr).
Math WS583 Seminar in Applied Mathematics (3 cr, max arr). WSU
Math 583.
Math 585-586 (s) Recent Developments
in Mathematics (3 cr, max arr).
For students with extensive background in specific areas of mathematics.
Math 599 (s) Research (cr arr).
Research not directly related to a thesis or dissertation. Prereq: perm.
Math 600 Doctoral Research and Dissertation (cr arr).
