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MATH 3413 STATISTICAL METHODS Beginning techniques for students with modest mathematical background. Emphasis on applications to the biological and physical sciences, business, and education. Prerequisite: MATH 1513. F MATH 3433 STATISTICS I An introductory probability and statistics course. The binomial, hypergeometric, Poisson, normal, t-, and Chi-square distributions are studied. Other topics include hypothesis testing, linear regression, and analysis of variance. Some work with the statistical software packages. Classical probability theory, discrete and continuous random variables and their probability distributions, properties of expectation, moment generating functions, sampling distributions and the central limit theorem are some of the topics. Prerequisite: MATH 2834. FO MATH 3473 INTRODUCTION TO PROBABILITY Basic concepts of discrete probability are discussed, such as counting techniques, independence, conditional probability, Bayes’ Rule, random variables, random walks, and Markov chains. Prerequisite: MATH 2834. SO MATH 3533 TECHNOLOGY AND PROGRAMMING IN MATHEMATICS Applications are emphasized. Prerequisite: MATH 1513. S MATH 3453 MATHEMATICAL STATISTICS This course will be an introduction to computers and calculators for students of mathematics. Topics will be selected from: uses of the internet for the study of mathematics, graphing calculators, computer software, and programming for solving mathematical problems. Prerequisite: MATH 1834. F MATH 3553 NUMERICAL ANALYSIS Derivation, evaluation, and application of numerical methods of applied mathematics. Computer programming solutions to roots of equations, difference and differential equations, numerical integration, and linear algebra problems. Prerequisite: MATH 2834 and any scientific programming language . D MATH 3653 LINEAR ALGEBRA An introductory course in vector spaces, matrices, determinants, characteristic roots, and applications. Prerequisite: MATH 2834 or departmental approval. S MATH 3673 ELEMENTARY NUMBER THEORY A study including primes and composites, number theoretic functions, Diophantine equations, congruence classes, and mathematical induction. Prerequisite: MATH 2834 or departmental approval. SE MATH 3713 COLLEGE GEOMETRY An axiomatic development of the essentials of Euclidean geometry and an introduction to non-Euclidean geometry. Content includes the foundations of Euclidean geometry (points, lines, angles, triangles, quadrilaterals, circles), parallelism in Euclidean geometry, transformations and isometries, and parallelism in non-Euclidean geometry (with the focus on hyperbolic geometry). Prerequisite: MATH 2834 or departmental approval. S MATH 3834 CALCULUS III Continuation of Calculus II. Vector-valued functions, partial differentiation, multiple integration, line integrals, surface integrals. Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. Prerequisite: MATH 2834 or equivalent. F, S
MATH 4001-4 INDIVIDUAL STUDY IN MATHEMATICS (TOPIC) Independent study of specific topic in mathematics for undergraduate students. Credit one to four semester hours. D MATH 4011-4 SEMINAR IN MATHEMATICS (TOPIC) Group study of specified topic in mathematics for undergraduate students. Credit one to four semester hours. D MATH 4013 SEMINAR IN MATHEMATICS The following courses are generally offered under this course number: Analytic Geometry Emphasizes the essential elements of analytic geometry with special attention to those topics that are needed in a college level calculus sequence. Content includes polynomial, rational, and transcendental functions. Polar and parametric equations, space coordinates and surfaces, lines and planes in space, applications to business, social and physical sciences, and curve fitting. Prerequisite: MATH 2834. D Linear Algebra for Secondary Teachers An introductory course on matrix algebra with applications to solutions of systems of linear equations, linear programming, vector spaces, determinants, linear transformations and applications. Prerequisite: MATH 2834. D Modern Algebra for Secondary Teachers Fundamental concepts of sets, mappings, binary operations, mathematical induction, divisibility and congruence mod n. Basic algebraic structures: groups, subgroups, cyclic groups, normal subgroups, homomorphism, and isomorphism. Introduction to rings, integral domains, and fields. Supportive problem sets and applications of special interest to teachers. Prerequisite: MATH 3834. D Survey of Geometry Euclid’s Postulates with emphasis on Euclid’s parallel postulate. Historical development of non-Euclidean geometry, with emphasis on the work of Saccheri, Gauss, and Lobachevsky. Circular inversion and orthogonal circles. The Beltrami-Poincare’ half-plane and Poincare’ disk models of hyperbolic geometry. The spherical model of elliptic geometry. Prerequisite: MATH 1834. D MATH 4101 MATHEMATICS CAPSTONE COURSE The capstone course is a one credit hour course for Mathematics Education and Mathematics seniors. It is modular in structure, with each module bringing together several different mathematics subject areas in a more advanced and interconnected context. To some extent, it will be preparatory for pre-professional exams. Prerequisite: Senior Standing or departmental approval. F MATH 4133 INTRO TO MATHEMATICAL LOGIC A basic course in mathematical thought, simple and compound sentences, truth tables, deductive logic, mathematical systems, quantification, application of logic to puzzles and games. Prerequisite: MATH 3834. D MATH 4153 HISTORY OF MATHEMATICS A survey course on the historical development of mathematics, including a look at famous problems and their development over time. SE MATH 4213 DIFFERENTIAL EQUATIONS I Solutions of ordinary differential equations with applications.
Prerequisite: MATH 3834 or departmental approval. S MATH 4223 DIFFERENTIAL EQUATIONS II
A continuation of MATH 4213. Advanced ordinary differential equations methods and an introduction to partial differential equations including Fourier series, Laplace’s equation, heat and wave equations. Prerequisite: MATH 4213. D
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