MAT 304: Perspective on Mathematics. Survey of the history and opportunities of mathematics, together with cultural ramifications, methods, and connections among various branches. Prerequisite: MAT 131.
CREDIT: THREE SEMESTER HOURS.
MAT 307: Linear Algebra. Coordinates, vectors, vector spaces, subspaces, Euclidean n-space, determinants, linear trans- formations, linear transformations and matrices, bilinear and quadratic forms are studied. Prerequisite: MAT 132 or consent of instructor. CREDIT: THREE SEMESTER HOURS.
MAT 312: Mathematical Programming. This course is an introduction to modern operations research. Modeling, theory, applications of linear and integer programming, and problems concerning scheduling, inventory and networks are studied. Prerequisites: MAT 125 or MAT 307. CREDIT: THREE SEMESTER HOURS.
MAT 315: Numerical Analysis. Techniques of numerical approximation in analysis and algebra. Prerequisite: MAT 231. CREDIT: THREE SEMESTER HOURS.
MAT 321: Probability and Statistics I. Measures of central tendency and dispersion, basic probability theory, Bayes Theorem, discrete and continuous univariate probability distributions, moments, random variables, sampling theory, estimation, hypothesis testing. Prerequisite: MAT 132. CREDIT: THREE SEMESTER HOURS.
MAT 322: Probability and Statistics II. Multivariate distributions, joint and conditional distributions, moments, variance and covariance, functions of several random variables, correlation and regression, chi-square tests, analysis of variance. Prerequisite: MAT 321. CREDIT: THREE SEMESTER HOURS.
MAT 326: Modern Geometry. This course includes study of axiom systems; Euclidean and Non-Euclidean Geometries; affine, spherical, projective and vector geometries. Prerequisite: MAT 300. CREDIT: THREE SEMESTER HOURS.
MAT 333: Complex Variables. This course is focused on the techniques and applications of the complex number system. Topics include Euler's formula, analytic functions, and the method of residues. Prerequisite: MAT 231 or consent of instructor. CREDIT: THREE SEMESTER HOURS.
MAT 399/PHY 399/BIO 399/CHE 399/COS 399: Undergraduate Teaching Experience. Students earn course credit for undergraduate teaching experience including but not limited to (1) assisting students during laboratory sessions, (2) helping to set up laboratories or lecture/lab quizzes, or (3) conducting PLTL-Excel type workshops for students. Course may be repeated for credit. Prerequisite: Consent of instructor.
CREDIT: ONE SEMESTER HOUR.
MAT 401: Modern Algebra I. Operations, permutations, groups, isomorphism, quotient groups, Sylow's theorems, and applications are discussed. Prerequisite: MAT 300. CREDIT: THREE SEMESTER HOURS.
MAT 402: Modern Algebra II. Continuation of MAT 401. Rings, integral domains, quotient rings and ideals, extension fields, and vector spaces are studied. Prerequisite: MAT 401. CREDIT: THREE SEMESTER HOURS.
383