Graduate 2020-2021

College of Natural and Health Sciences

School of Mathematical Sciences

MATH 508 Workshop

A variety of workshops on special topics within the discipline. Goals and objectives will emphasize the acquisition of general knowledge and skills in the discipline.
1- 3

Class Restriction

Exclude Freshman and Sophomore

Course Attribute

Variable Title Course

Repeatable Status

ST - Repeatable under different subtitles with no limits on the number of times it can be repeated

MATH 513 Professional Renewal

Update skills and knowledge of professionals in the discipline. Goals and objectives will be specifically directed at individual professional enhancement rather than the acquisition of general discipline knowledge or methodologies. S/U or letter graded.
1- 3

Class Restriction

Exclude Freshman and Sophomore

Course Attribute

Variable Title Course

Repeatable Status

ST - Repeatable under different subtitles with no limits on the number of times it can be repeated

MATH 520 Functions and Equations

Polynomial equations including DeMoivre's Theorem, the Fundamental Theorem of Algebra, methods of root extraction (e.g. Newton, Graffe) multiplicities, symmetric functions, matrices and determinants. Elementary computer applications.
3

Level Restriction

Include GR

MATH 522 Directed Studies

Individualized investigation under the direct supervision of faculty member. (Minimum of 37.5 clock hours required per credit hour.)
1- 3

Special Notes

Maximum concurrent enrollment is two times.

Class Restriction

Exclude Freshman and Sophomore

Course Attribute

Variable Title Course

Repeatable Status

Course is repeatable with no limitations

MATH 523 Modern Algebra

A study of groups, rings and fields with a special emphasis on groups and fields.
3

Class Restriction

Exclude Freshman and Sophomore

MATH 525 Linear Algebra I

Vector spaces, linear transformations, matrices, eigenvalues, canonical forms, quadratic forms and other selected topics.
3

Prerequisites

MATH 321 with a minimum grade of C

Class Restriction

Exclude Freshman and Sophomore

MATH 528 Discrete Mathematics

A broad, deep survey of topics in enumerative combinatorics, with a focus on mathematical reasoning and problem solving.
3

Level Restriction

Include GR

MATH 529 Mathematical Problem Solving

Techniques in problem solving applied to algebra, number theory, geometry, probability, discrete mathematics, logic and calculus. A study of Polya's heuristic rules of mathematical discovery.
3

Level Restriction

Include GR

MATH 531 Basic Analysis I

Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis. Includes: real numbers, sequences, topology, limits, continuity, differentiation, series and integration.
3

Prerequisites

MATH 233 with a minimum grade of C

Level Restriction

Include GR

MATH 532 Basic Analysis II

Continuation of MATH 531.
3

Prerequisites

MATH 531 with a minimum grade of C

Class Restriction

Exclude Freshman and Sophomore

MATH 534 Continuous Mathematics

An exploration of select topics in real analysis providing a deeper understanding of real numbers, continuous functions, and the theoretical underpinnings of calculus.
3

Level Restriction

Include GR

MATH 537 Mathematical Modeling

Introduction to the process of mathematical modeling using a wide selection of mathematical tools, with an emphasis on development, verification and interpretation of models and communication of results.
3

Level Restriction

Include GR

MATH 540 Introduction to Topology

Point-set topology and the foundations of real analysis.
3

Class Restriction

Exclude Freshman and Sophomore

MATH 543 Modern Geometry

A survey of both traditional Euclidean geometry and contemporary geometries, in which applications of geometry are integrated into the study of the mathematical structure of geometrical systems.
3

Class Restriction

Exclude Freshman and Sophomore

MATH 550 Applied Probability and Statistics

Methods related to descriptive and inferential statistics and the concept of probability are investigated in depth.
3

Level Restriction

Include GR

MATH 560 Introductory Complex Variables

First course in complex variables, especially for potential calculus teachers. After preliminaries, proceed directly to power series, Laurent's series, contour integration, residue theory, polynomials and rational functions.
3

Prerequisites

MATH 432 with a minimum grade of C

Class Restriction

Exclude Freshman and Sophomore

MATH 564 History of Mathematics

Survey of mathematical conceptual development and the people involved from antiquity to the present, including content connections and use of primary and secondary sources.
3

Level Restriction

Include GR

MATH 591 Abstract Algebra and Number Theory

A problem solving approach to a survey of core abstract algebra topics including groups, rings, integral domains, fields and number theory related results.
3

Level Restriction

Include GR

MATH 595 Topics in Mathematics

Topics from various fields of mathematics which reflect specific interests of instructors and students.
1- 3

Class Restriction

Exclude Freshman and Sophomore

Course Attribute

Variable Title Course

Repeatable Status

ST - Repeatable under different subtitles with no limits on the number of times it can be repeated

MATH 599 Mathematics Action Research Project Seminar

Students research a mathematical problem relevant to their own teaching and write an expository paper on that topic.
3

Level Restriction

Include GR

Repeatable Status

Course is repeatable with no limitations

MATH 622 Directed Studies

Individualized investigation under the direct supervision of a faculty member. (Minimum of 37.5 clock hours required per credit hour.)
1- 4

Special Notes

Maximum concurrent enrollment is two times.

Level Restriction

Include GR

Course Attribute

Variable Title Course

Repeatable Status

Course is repeatable with no limitations

MATH 651 Statistical Science

The course focuses on statistical inference problems, applied linear models including multiple regression, ANOVA, linear mixed models and categorical data analysis including generalized linear models.
3

Level Restriction

Include GR

MATH 695 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

ST - Repeatable under different subtitles with no limits on the number of times it can be repeated

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, Lebasque 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