integrals, curl, surface integrals and Stokes' theorem. Plane curves, polar coordinates, vectors, and three-dimensional analytic geometry. Prerequisite: MAT 132. Credit: 3 semester hours.

MAT 232: Differential Equations. The study of first-order equations, linear equations, the Laplace transform, Picard's existence theorems, and systems of equations.

Prerequisite: MAT 132. Credit: 3 semester hours.

MAT 300: Introduction to Advanced Mathematics. This course provides an orientation to higher mathematics. Topics include logic, mathematical proof, set theory, relations and functions, and an introduction to mathematical axiom systems. Prerequisite: MAT 132 or consent of instructor. Credit: 3 semester hours.

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: 3 semester hours.

MAT 307: Linear Algebra. Coordinates, vectors, vector spaces, subspaces, Euclidean n-space, determinants, linear transformations, linear and quadratic forms are studied. Prerequisite: MAT 132 or consent of instructor. Credit: 3 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: 3 semester hours.

MAT 315: Numerical Analysis. Techniques of numerical approximation in analysis and algebra. Prerequisite: MAT 231. Credit: 3 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: 3 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: 3 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: 3 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: 3 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: 3 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: 1 semester hour.

MAT 401: Modern Algebra I. Operations, permutations, groups, isomorphism, quotient groups, Sylow's theorems, and applications are discussed. Prerequisite: MAT 300. Credit: 3 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: 3 semester hours.

MAT 403: Real Analysis I. Real numbers and Euclidean space, continuous functions, differentiable functions of one and several variables, and the Riemann integral are studied. Prerequisites: MAT 231 and MAT 300. Credit: 3 semester hours.

MAT 404: Real Analysis II. Classical Lebesque integral, power series, curves, surfaces, integral theorem, divergence, and theorems of Green and Stokes are discussed. Some applications are examined. Prerequisite: MAT 403. Credit: 3 semester hours.

MAT 411: Topology. Topological spaces, metric spaces, separation axioms, connectedness, compactness, continuity, product and quotient spaces. Prerequisite: MAT 300. Credit: 3 semester hours.

MAT 415: Elementary Dynamical Systems. Time evolution of various physical and/or biological systems and asymptotic behavior of orbits in phase space are studied with various mathematical techniques. Prerequisite: MAT 232. Credit: 3 semester hours.

MAT 460: Mathematics Seminar.* An integrated overview of the mathematics curriculum. Each student will be required to prepare and present an independent investigation of topics of personal/professional interest. May be repeated once for credit. Prerequisite: Senior standing in mathematics. Credit: 3 semester hours.

MAT 470: Mathematical Modeling. This course is designed to provide a student with broad exposure to mathematical models and techniques to find solutions to governmental, industrial, and management