Mathematics

MA 532. MATHEMATICAL STATISTICS I 3 HRS. (Prerequisite, MA 262 and MA 380.) Fundamental principles of a random variable and its distribution; the binomial, normal, the F, the Student-t, and Chi-Square; testing hypotheses, estimation, and applications.

MA 591. TOPICS IN MATHEMATICS 1-3 HRS. (Prerequisites, will vary with topic.) An in-depth study of selected topics in mathematics not currently found in other mathematics courses. May be repeated with different topics for a maximum of six credits. See Schedule of Classes for specific topic (and prerequisites) when offered.

MA 592. TOPICS IN ELEMENTARY/MIDDLE SCHOOL MATHEMATICS 1-3 HRS. (Prerequisites will vary with topic, possibly including but not limited to MA 302 or MA 303.) A course designed to enrich and supplement the teaching of elementary/middle school mathematics. May be repeated with different topics for credit. See Schedule of Classes for specific topic (and prerequisites) when offered.

MA 715. TOPOLOGY 3 HRS. (Prerequisites, consent of mathematics department.) Theory of point sets with applications to analysis. Topological, metric, and function spaces, sequences, continuity, connectedness, compactness, separation, completions.

MA 721. PROJECTIVE GEOMETRY 3 HRS. (Prerequisite, MA 421 or consent of department.) Projective geometry of one and two dimensions, its axiomatic foundation, and the fundamental ideas of the projective plane. Duality, harmonic forms, coordinates, conics, polarities, and a brief introduction to geometry of higher dimensions.

MA 722. NON-EUCLIDEAN GEOMETRY 3 HRS. (Prerequisite, MA 421 or consent of department.) A comparison of non-Euclidean geometries with Euclidean geometry. Hilbert's axioms, history of the parallel postulate, elementary theorems of hyperbolic plane geometry and a brief introduction to elliptic geometry.

MA 727. GROUPS, RINGS AND FIELDS 3 HRS. (Prerequisite, MA 240, MA 322 or consent of the mathematics department.) The properties of groups, rings and fields with emphasis on the algebraic structure and morphisms. Algebraic and transcendental field extensions.

MA 728. VECTOR SPACES 3 HRS. (Prerequisite, MA 322 or consent of the mathematics department.) The structure of vector spaces, algebras and fields. Transformations, linear independence, bases and other topics are studied.

MA 733. MATHEMATICAL STATISTICS II 3 HRS. (Prerequisite, MA 532.) Probability, distributions, expected values, moments, sampling distribution and point estimation. Multivariate normal distribution, maximum likelihood estimation, interval estimation, test of hypotheses, linear regression, experimental design and analysis of variance.

MA 734. COMPLEX VARIABLES 3 HRS. (Prerequisite, MA 263.) A study of the complex plane, holomorphic functions, the elementary functions, complex integration. Taylor's series and the Laurent expansion, the calculus of residues and conformal mapping.

MA 735. ADVANCED CALCULUS I 3 HRS. (Prerequisite, MA 262 and MA 425 or permission of instructor.) This course rigorously proves the results of Calculus I and II.  Topics include an axiomatic characterization of the real numbers, sequences, functions, limits, continuity, differentiation, Riemann integration, and infinite series.

MA 736. ADVANCED CALCULUS II 3 HRS. (Prerequisite, MA 735.) As a continuation of Advanced Calculus I, this course provides a rigorous convergence, differentiability, and integration on Rn. 

MA 740. NUMBER THEORY 3 HRS. (Prerequisite, MA 262.) Properties of numbers, prime and composite, Euclid's algorithm, indeterminate problems. Diophantine problems, congruences and residues, Euler's Theorem, Fermat's Theorem, classical problems.

MA 744. INTRODUCTION TO MATHEMATICAL LOGIC 3 HRS. (Prerequisites, MA 240, MA 161.) Deductive logic as applied in secondary school mathematics. Symbolic Aristotelian logic, truth tables, rules of inference, methods of deductive proof, and the restricted predicate calculus.

MA 745. VECTOR ANALYSIS 3 HRS. (Prerequisite, MA 263.) Fundamental principles of vector analysis, algebra and calculus of vectors, applications of vectors to geometry and physics.

MA 764. REGRESSION ANALYSIS 3 HRS. (Prerequisites, CS 230 and MA 332 or equivalent.) Computer oriented statistics methods course. Topics include estimating parameters, testing hypotheses, analysis of variance, and multiple linear and nonlinear regression methods.

MA 791. TOPICS IN MATHEMATICS 1-3 HRS. (Prerequisites, will vary with topic.) An in-depth study of selected topics in mathematics not currently found in other mathematics courses. May be repeated with different topics for a maximum of six credits. See Schedule of Classes for specific topic (and prerequisites) when offered.

MA 792. TOPICS IN ELEMENTARY/MIDDLE SCHOOL MATHEMATICS 1-3 HRS. (Prerequisite, in-service teacher or consent of department.) A course designed to enrich and supplement the teaching of elementary/middle school mathematics. May be repeated with different topics for credit. See Schedule of Classes for specific topic (and prerequisites) when offered.

MA 793. TOPICS IN SECONDARY SCHOOL MATHEMATICS 1-3 HRS. (Prerequisite, in-service teacher or consent of department.) A course designed to enrich and supplement the teaching of secondary school mathematics. May be repeated with different topics for credit. See Schedule of Classes for specific topic (and prerequisites) when offered.

MA 810. SEMINAR IN MATHEMATICS 0-4 HRS. Directed reading and research in a selected field.

MA 820. DIFFERENTIAL GEOMETRY 3 HRS. (Prerequisite, MA 263.) A study of curves and surfaces in Euclidean space. Frenet formulas, curvature, geodesics, and fundamental forms.

MA 825. GROUP THEORY 3 HRS. (Prerequisite, MA 727.) An introduction to the theory of groups. Topics included are classifications of groups, such as cyclic, Abelian, solvable, nilpotent, etc., homomorphisms and isomorphisms, types of subgroups and factor groups, and the Sylow theorems.

MA 832. DIFFERENTIAL EQUATIONS II 3 HRS. (Prerequisite, MA 335.) Extension of MA 335 and an introduction to systems of differential equations and partial differential equations; applications.

MA 835. FUNCTIONS OF A REAL VARIABLE 3 HRS. (Prerequisite, MA 736.) The study of linear sets of points, sequences of functions, upper and lower semi-continuity, equi-continuity, Lebesgue measure, Lebesgue integration, Borel sets, Baire functions and measurable functions.

MA 847. RESEARCH PROJECTS IN MATHEMATICS 1-5 HRS. Independent study and research in mathematics. Allowed on master's degree program with consent of mathematics department.

MA 850. THESIS, MA, or MS 1-6 HRS. Required for the Master of Arts degree with a major in Mathematics. Independent study and research in an approved field. Frequent conferences with the instructor.

MA 955. CURRENT LITERATURE IN MATHEMATICS 0-3 HRS. (Prerequisite, Master's degree.) Directed reading of current literature and research in mathematics with individual reports and group discussions.

MA 957. THESIS, ED.S. 1-5 HRS. Required for the Specialist in Education with a major in mathematics. Independent study and research in mathematics.

Last Updated April 17, 2007