MATH 5305: Logic and Foundations: Mathematical logic, detailed and rigorous study of set theory, introduction to axiomatic systems, examination of real number systems. Prerequisite: Departmental approval.

MATH 5331: Algebra
Basic structure, substructure, morphisms, and quotient structures in the categories of groups, rings, and modules. Prerequisite: MATH 3336 or equivalent.

MATH 5333: Topics in Algebra
Topics may include group actions, p-groups, Galois theory, polynomial rings, field theory, vector spaces, modules over a PID, algebraic geometry, homological algebra, representation theory. Course may be repeated when content
changes. Prerequisite: MATH 5331.

MATH 5341: Real Analysis I
Topics include set theory, real number system, Lebesgue measure, the Lebesgue
integral, differentiation and integration, classical Banach spaces. Prerequisite: MATH 4341 or equivalent.

MATH 5343: Topics in Real Analysis
Topics may include general topology, Banach spaces, generalized measure and integration, or related topics. Course may be repeated when content changes. Prerequisite: MATH 5341.

MATH 5351: Mathematical Probability
Axiomatic development of probability, distributions, mathematical expectation,
moments, and generating functions. Prerequisite: MATH 3345 or equivalent.

MATH 5352: Mathematical Statistics
Study of the mathematical basis of statistical analysis with emphasis given to sampling, distributions, testing hypotheses, interval estimation, and multivariate analysis. Prerequisite: MATH 5351.

MATH 5381: Applied Mathematics I
Ordinary differential equations, partial differential equations, and dynamical
systems, complex variables, spectral theory, transformations and modeling. Prerequisites: MATH 3203 and MATH 3305 or CI.

MATH 5383: Topics in Applied Mathematics
An exploration of various topics in applied and computation mathematics. Materials covered may include mathematical modeling, optimization and control theory, game theory, mathematical physics, and mathematical biology. Course may be repeated when content changes. Prerequisite: MATH 5381.

MATH 5390 & 5391: Selected Topics in Mathematics
Topics are selected to meet the needs of students and vary from semester to semester. Courses may be repeated when the content changes.
Prerequisite: Consent of department chair.

MATH 5395: Research
Research methodology in mathematics, requires individual research, and culminates in a written report. Prerequisite: Completion of 15 graduate credit hours of mathematics and consent of instructor.

MATH 5396: Thesis
Student research that culminates in the completion of a formal thesis. Prerequisite:
MATH 5395 and appointment of a thesis advisor.

MATH 5199 - 5399: Independent Study
Independent study in specific areas of mathematics not covered by organized
courses. A maximum of six credit hours of independent study courses may be applied toward a graduate degree. Prerequisite: Consent of department chair.

MTED 5198-5398: Topics in Mathematics Education I
Topics are selected to meet the needs of the students and vary from semester to
semester. Courses may be repeated when content changes. Prerequisite: Consent of graduate advisor.

MTED 5199-5399: Topics in Mathematics Education II
Topics are selected to meet the needs of the students and vary from semester to
semester. Courses may be repeated when content changes. Prerequisite: Consent of graduate advisor.