Graduate Catalog 2021-2022

MATH 709 Abstract Algebra I

Groups and rings and their structure. Sylow theorems. Modules. History and applications.
3

Prerequisites

MATH 523 with a minimum grade of C

Level Restriction

Include GR

MATH 723 Abstract Algebra II

Polynomial Noetherian rings and ideals. Fields and Galois theory. Structure of fields. History and applications.
3

Prerequisites

MATH 709 with a minimum grade of C

Level Restriction

Include GR

MATH 728 Topics in Discrete Mathematics

A broad yet deep survey of current topics in combinatorics and graph theory essential for teachers K-16, including applications to probability, coding theory, sorting and matching algorithms and optimization.
3

Level Restriction

Include GR

MATH 732 Complex Variables

Analytic and meromorphic functions in the complex plane. Integration, conformal mapping and advanced topics.
3

Level Restriction

Include GR

MATH 733 Geometric Analysis

Analysis of functions of several variables, unifying and extending ideas from calculus and linear algebra. Includes the implicit function theorem and Stokes' Theorem.
3

Prerequisites

MATH 525 with a minimum grade of C

Level Restriction

Include GR

MATH 735 Real Analysis

Abstract spaces, Lebesgue measure, continuity, integration and differentiation theorems, Baire category.
3

Level Restriction

Include GR

MATH 778 Mathematical Logic

The notion of proof, first order logic, set theory, ordinals, cardinals and an overview of the most important recent results in the field.
3

Level Restriction

Include GR

MATH 791 Number Theory

A survey of topics in arithmetic and analytic number theory, such as Eulers' function, quadratic reciprocity, continued fractions and the distribution of prime numbers.
3

Prerequisites

MATH 732 with a minimum grade of C

Level Restriction

Include GR

MATH 795 Special Topics

Topics from various fields of mathematics, for example, algebraic topology, functional analysis, Lie groups and algebras or nonlinear analysis.
3

Level Restriction

Include GR

Course Attribute

Variable Title Course

Repeatable Status

Course is repeatable with no limitations

MATH 797 Doctoral Proposal Research

Four hours of credit for doctoral dissertation proposal research must be earned in partial fulfillment of requirements before admission to candidacy.
1- 4

Level Restriction

Include GR

Repeatable Status

Course is repeatable with a maximum of 4 credit hours

MATH 799 Doctoral Dissertation

Doctoral Dissertation. S/U graded.
1-12

Level Restriction

Include GR

Repeatable Status

Course is repeatable with no limitations