# COURSE DESCRIPTIONS FOR MATHEMATICS

**Mathematics**

Monte Boisen, Dept. Chair, Dept. of Mathematics (300 Carol Ryrie Brink Hall 83844-1103; phone 208/885-6742).

Vertically-related courses in this subject field 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 143; Math 143 carries no credit after 160 or 170; Math 170 carries 2 credits after 160; Math 160 carries no credit after 170, Math 215 carries no credit after 411 or 471.

** Math 108 Intermediate Algebra (3 cr)
**Carries no credit after Math 137 or 143. Review of algebra including
factoring, rational expressions, exponents, radicals, quadratic equations,
equations of lines. Taught using 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 Mathematics Applied To The Modern World (3 cr)
**May be used as core credit in J-3-c. Discussion of some aspects of
mathematical thought through the study of problems taken from areas such as
logic, number theory, geometry, probability, and combinatorics; discussion of
historical development.

**Math 130 Finite Mathematics (3 cr)
**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. 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)
**May be used as core credit in J-3-c. Carries no credit after Math 160 or
170; carries 2 credits after Math 137. Algebraic, exponential, logarithmic
functions; graphs of conics; zeros of polynomials; systems of equations,
induction. Taught using 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 sufficient score on SAT, ACT, or COMPASS Math Test; or Math 108 with grade of C or better. It is recommended that Math 143 be taken within two years of passing Math 108 or its equivalent .

**Math 144 Analytic Trigonometry (1 cr)
**Not open for cr to students who have previous high school or college cr in
trigonometry. Trigonometric functions, inverse functions, applications. Taught
using 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/or Coreq: Math 143 or 170. Concurrent enrollment in Math 143 or 170 permitted.

**Math 160 Survey of Calculus (4 cr)
**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. Primarily for students in business,
life sciences or architecture who need only one semester of calculus.

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.

**Math 170 Analytic Geometry and Calculus I (4 cr)
**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. Primarily for
students in engineering, mathematics, science or computer science.

Prereq: One of the following: a) Math 143 and Math 144, b) Math 143 and sufficiently high score on COMPASS Trig Test , or c) 2 yrs high school algebra and 1 yr plane geometry and ½ yr analytic trigonometry and sufficiently high score on SAT, ACT, or COMPASS Math Tests (College Algebra and Triginometry). (Concurrent enrollment in 170 and 144 is permitted with permission of the department).

**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 204 (s) Special Topics (cr arr)**

**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. (Fall only)

Prereq: Math 175 and permission

Math 235 Mathematics for Elementary Teachers I (3 cr)

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: 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)
**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 275 Analytic Geometry and Calculus III (3 cr)
**Vectors, functions of several variables, and multiple integration.

Prereq: Math 175

**Math 299 (s) Directed Study (cr arr)**

**Math 301 Early Childhood Mathematics (4 cr)
**Focus on the mathematics for early childhood: numbers and operations,
algebraic thinking, geometry, measurement, probability and statistics. Emphasis
will be placed on reasoning, representation, connections and communication. This
course is restricted to students from either the School of Family and Consumer
Sciences or the College of Education. This course will not count as a 300 –
level mathematics course in any major or minor in the College of Science.
Recommended preparation: Stat 150. (Fall Only)

Prereq: One core math course

**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. Recommended preparation:
Math 275.

Prereq: Math 175

**Math H315 Topics in Pure Mathematics (3 cr)
**A topic selected each yr that develops skill and appreciation for
theoretical nature of mathematics. (Fall only)

Prereq: Permission of director of University Honors Program

**Math 326 Linear Optimization (3 cr)
**Geometric solutions, simplex method, duality and revised simplex method,
sensitivity, integer programming, applications. Recommended Preparation: Math
175. (Spring, Alt/yrs)

Prereq: Math 160 or 170

**Math 330 Linear Algebra (3 cr)
**Linear equations, matrices, linear transformations, eigenvalues,
diagonalization; applications. Recommended Preparation: Math 175.

Prereq: Math 160 or 170

**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. Recommended for computer science majors. (Spring, Alt/yrs)

Prereq: Math 176 or Permission

**Math 385 Theory of Computation (3 cr)
**Same as CS 385. Mathematical models of computation, including finite
automata and Turing machines. (Fall only)

Prereq: Permission

**Math 386 Theory of Numbers (3 cr)
**Elementary number theory, including divisibility properties, congruences,
and Diophantine equations. (Spring only)

Prereq: Math 175 or Permission

**Math 390 Axiomatic Geometry (3 cr)
**May be used as core credit in J-3-d. Development of Euclidean and hyperbolic
geometry using the axiomatic approach. (Spring, Alt/yrs)

Prereq: High school geometry and Math 215, or Permission

**Math 391 Modern Geometry (3 cr)
**Euclidean and non-Euclidean geometries, plus topics chosen from projective,
transformational, and computational geometry. (Spring, Alt/yrs)

Prereq: High School Geometry and Math 215, or Permission

**Math 395 Analysis of Algorithms (3 cr)
**Same as CS 395. Measures of efficiency; standard methods and examples in the
design and analysis of algorithms. (Spring only)

Prereq: Math 175

**Math 400 (s) Seminar (cr arr)**

**Math 404 (s) Special Topics (cr arr)**

**Math 411 Elementary Topology (3 cr)
**Metric spaces; topological spaces; compactness; connectedness, continuity.
(Alt/yrs)

Prereq: Math 275 or Permission

**Math 420 Complex Variables (3 cr)
**Complex numbers, elementary functions, derivatives, the residue theorem,
conformal mappings, contour integration, infinite series, applications.
(Alt/yrs, Spring only)

Prereq: Math 275

**Math 426 Discrete Optimization (3 cr)
**Optimization on graphs, networks and flows, and related topics. Recommended
Preparation: Math 175. (Fall, 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. (Fall,
Alt/yrs)

Prereq: Math 275, 330, and knowledge of a computer language

**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. (Spring only)

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: Permission

**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.
(Spring, Alt/yrs)

Prereq: Math 310 or Permission

**Math ID&WS451 Probability Theory (3 cr) WSU Math 443
**Same as Stat 451. Random variables, expectation, special distributions
(normal, binomial, exponential, etc.), moment generating functions, law of large
numbers, central limit theorem. (Fall only)

Prereq: Math 275, Graduate standing, or Permission

Coreq: Math 275

**Math ID&WS452 Mathematical Statistics (3 cr) WSU Math
and Stat 456
**Same as Stat 452. Estimation of parameters, confidence intervals, hypothesis
testing, likelihood ratio test, sufficient statistics. (Spring only)

Prereq: Math 451 or Permission

**Math ID&WS-J453/ID&WS-J538 Stochastic Models (3 cr) WSU
Stat 544
**Same as Stat J453/J544. Markov chains, stochastic processes, and other
stochastic models; applications. Additional projects/assignments reqd for grad
cr. (Spring, Alt/yrs)

Prereq: Math 451 or Permission

**Math 455 Applied Actuarial Science (1 cr)
**Risk problems on the actuarial exam. Graded P/F. (Spring only)

Prereq: Math 451

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