Mathematics

MA 510.  TECHNOLOGY IN MATHEMATICS 3 HRS.  (Prerequisite, MA 262 or graduate standing.) Provides an introduction to the latest technologies that are used for the teaching, learning, and presenting of 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 561.  TEACHING PERSPECTIVES IN CALCULUS 3 HRS.  (Prerequisite, MA 262 or graduate standing.) MA 561 Teaching Perspectives in Calculus. Provides a survey of the topics of single variable calculus from the perspective of someone who will teach calculus or pre-calculus. It will emphasize the underlying concepts of calculus and present the most effective ways of conveying those concepts to students.

MA 570.  TEACHING COLLEGE MATHEMATICA 1 HR.  (Prerequisite, graduate standing.) This course provides an introduction to the current techniques, methods and technologies that are used in the teaching of undergraduate college mathematics through both classroom observation and supervised teaching. This course is intended for graduate students only.

MA 581.  MATHEMATICAL MODELING 3 HRS.  (Prerequisite, MA 262.) Mathematical modeling is the study of the use of mathematics to describe and forecast real-world phenomena. A variety of modeling techniques are introduced. The course includes a review of relevant topics from algebra, trigonometry, calculus, statistics, and differential equations. The prerequisite can be overridden by the consent of the department.

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 731.  STATISTICS USING SAS. This course provides an overview of a wide array of concepts and methods of statistical analysis, and how these methods can be implemented using SAS to perform data analysis. Concepts typically covered are graphical summaries of data, populations and samples, measures of central tendency, measures of dispersion and variability, probability, the normal distribution, an introduction to hypothesis testing, assessing normality, simple t-tests, two-sample hypotheses, analysis of variance and multiple comparisons, and modern regression analysis. Programming assignments in SAS are an important component of the course. The course should be of interest to mathematics majors and to graduate students in other disciplines with an interest in statistical analysis of data. It is recommended that students who enroll in this course have already taken at least one course in statistics.

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 May 11, 2009