representation and communication of statistical information symbolically, visually, and numerically, probability, evaluation and assessment of different statistical models such as normal distributions, linear regression, confidence intervals, and one sample hypothesis testing. Prerequisite: Appropriate scores on ACT, SAT, COMPASS, and KYOTE. Credits: 4 semester hours.
MAT 203: Mathematics for Elementary Teachers I. This is the first course in a two-semester sequence designed to meet the needs of elementary school teachers. Topics include sets, whole numbers, numeration systems, bases, elementary number theory, fractions, decimals, real numbers. Problem solving, applications and historical topics are discussed throughout the course. Prerequisite: grade of C or better in MAT 115/176. Credit: 4 semester hours.
MAT 204: Mathematics for Elementary Teachers II. Continuation of MAT 203. Topics include ratio and proportion, probability, statistics, geometry, and measurement. Prerequisite: A grade of C or better in MAT 115 or MAT 176. Credit: 4 semester hours.
MAT 231: Multivariate Calculus. Calculus of vector-valued functions, partial differentiation, multiple 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.
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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.
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.