The Department offers courses leading to the M.S. (thesis and non-thesis) and M.Ed. degrees with a major in mathematics.

Request Information

Graduate School Online Application

Admission Requirements

1.

The equivalent of a bachelor's degree with a major in mathematics. Students who have not completed the equivalent of Math 431 and Math 432, Advanced Calculus, as undergraduates will be required to do so as part of their graduate program. Students without the required degree, or equivalent, may be admitted but will be required to satisfactorily complete undergraduate courses to make up their deficiency before advancement to Approved status. (Please see this PDF file for specific details on admission requirements.)

Degree Requirements

Master of Science

	1.	A major of 30 (thesis) or 32 (non-thesis) credits or a major with a minor or cognate.
	2.	Two full graduate sequences of the five available: 512-513, 515-516, 518-519, 520-521 and 541-542.
	3.	At least one additional mathematics graduate course.

The remainder of the program will be determined in consultation with an advisor based on the student's mathematical aims, interests and background.

Master of Education

	1.	A minimum of 32 semester credits is required for the M.Ed. degree of which 16 credit hours of graduate work must be completed in mathematics, with at least 8 credits of mathematics being at the 500 level or above, including 2 hours of 997, Independent Study. (See Degree Requirements for Master of Education.)
	2.	Complete in undergraduate or graduate school-courses in algebra equivalent to Mathematics 441 and 442, a course in analysis equivalent to Mathematics 431, a course in geometry equivalent to Mathematics 409, and a course in probability and statistics equivalent to Mathematics 421.

Graduate Minor in Statistics

The requirements consist of 9 hours of which Math 421 and Math 422 are required if they were not taken as an undergraduate. The remaining credits may be selected from various probability and statistics-oriented courses in mathematics and other disciplines. For further information about this option, contact the chair of the Mathematics Department.

Courses

505. Seminar in Mathematics. 1 to 3 credits.

512. Modern Analysis I. 3 credits. Prerequisite: Math 432. Algebras and sigma algebras, Borel sets, measures, measurable sets and Lebesgue measure, non-measurable sets, measurable functions, the definition and basic properties of the Lebesgue integral, Fatou's lemma, the monotone convergence theorem, and Lebesgue's dominated convergence theorem.

513. Modern Analysis II. 3 credits. Prerequisite: Math 512. Product measures, Fubini's theorem, the Radon Nikodym theorem, inequalities of Holder and Minkowski, definitions and basic properties of normed spaces and Banach spaces, some classical Banach spaces such as Lp and lp, bounded linear operators, and dual spaces.

515, 516. Applied Mathematics. 3 credits each. Prerequisite: Math 266 or consent of instructor. The content of the course varies but includes current topics in applied mathematics such as: (1) ordinary or partial differential equations, (2) approximation theory and perturbation techniques, (3) modeling and computer simulation, (4) special functions, (5) numerical analysis, (6) variational methods, (7) transforms, (8) integral equations.

518, 519. Algebra I, II. 3 credits each. Prerequisite: Math 441 and 442. Group theory, rings and fields, vector spaces, Galois theory and finite fields.

520, 521. Topology I, II. 3 credits each. Prerequisite: Math 431. Point set topology, including metric spaces and such topics as homeomorphisms, separation axioms, compactness, connectedness, general convergence, compactification and metrizability.

541. Linear Statistical Models. 3 credits. Prerequisite: Math 422 or consent of instructor. Distributions of quadratic forms, general linear hypotheses of full rank, least squares, Gauss-Markoff theorem, estimability, parametric transformations, Cochran's theorem, projection operators and conditional inverses in generalized least squares, applications to ANOVA and experimental design models.

542. Advanced Topics in Statistics and Probability. 3 credits. Prerequisite: Math422 or consent of instructor. The content of the course varies but may include (but is not restricted to) current topics in statistics and probability such as (1) time series, (2) sampling, (3) nonparametric statistics, (4) experimental design, (5) probability theory, (6) statistical theory, (7) multivariate statistical analysis.

403. Theory of Probability. 3 credits.

405. Selected Topics in Mathematics. 1 to 3 credits.

408. Combinaturics. 3 credits.

409. Geometry. 3 credits.

412. Differential Equations. 3 credits.

415. Topics in Applied Mathematics. 1 to 3 credits.

416. Topics in Statistics. 1 to 3 credits.

421, 422. Statistical Theory. 6 credits.

431, 432. Advanced Calculus. 6 credits.

435. Theory of Numbers. 3 credits.

441. Abstract Algebra. 3 credits.

442. Linear Algebra. 3 credits.

450. Elements of Topology. 3 credits.

460. Mathematical Modeling. 3 credits.

461, 462. Numerical Analysis. 6 credits.

465. Operations Research. 3 credits.

471. Introduction to Complex Variables. 3 credits.

494, 495. Reading Course in Mathematics. Credit not to exceed 1 hour a semester and total credit not to exceed 3 hours.