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