MATH 5000 – Workshop In Mathematics

Credit will vary from 1 to 4 hours.  Subject matter will vary within the department’s field of study.  Normally involves lecture, films, guest speaker, etc.  A grade of “P” or “F” is given.  No more than 2 hours of workshop may be counted on a master’s degree.

 

MATH 5103 – The Real Number System

Properties of the real number system will be developed in this course.  Recommended for all graduate students in mathematics.

 

MATH 5113Operations Research I

Topics for this course include linear programming formulation, the simplex method, duality, and linear sensitivity analysis.  Applications will include the transportation model and its variants, integer linear programming, goal programming, network models, CPM and PERT.  Prerequisite(s): MATH 3143, STAT 3103 or 4113.

 

MATH 5123 – Operations Research II

Topics in this course include deterministic dynamic programming, deterministic inventory models, forecasting models, decision analysis and games, probabilistic dynamic programming, probabilistic inventory models, queuing systems and simulation modeling.  Prerequisite(s): MATH 4113 or 5113.

 

MATH 5134 – Calculus For Secondary Teachers

This course is a survey of calculus in view of modern concepts and is intended for students preparing to teach advanced secondary mathematics.

 

MATH 5143 Advanced Calculus For Applications 1

This is the first course in a two-semester sequence of differential and integral calculus.  Its topics include sequences and limits of sequences, limits of single variable functions, and differentiation of integration of single variable functions.  Students will be required to apply the ideas learned to individual investigations.  Prerequisite(s): MATH 4143.

 

MATH 5164 – Advanced Calculus For Applications 2

This is the second course in a two-course sequence of differential and integral calculus.  Its topics include infinite series of numbers, sequences and series of functions, Fourier series, vector calculus, and limits, differentiation, and multiple integration of functions of several variables.  Prerequisite(s): MATH 5143.

 

MATH 5164 – Calculus For Secondary Teachers

This course is a continuation of MATH 5134.  Prerequisite(s): MATH 5134.

 

MATH 5183 – Numerical Analysis II

This course is a continuation of MATH 3263.  Topics include the study of quadrature formulae, the numerical solution of ordinary differential equations, and introduction to linear programming, and error analysis.  Prerequisite(s): MATH 3263.

 

MATH 5203 - Foundations Of Mathematics

This course is a study of the fundamentals concepts of mathematics.  Topics include axiomatic method in algebra and geometry, the theory of sets and other cultural aspects of mathematics.

 

MATH 5243 Vector Analysis

Topics in this course include vector algebra, vector functions of one variable, differential invariants, integral theorems, and vector spaces.  Prerequisite(s):  MATH 2343.

 

MATH 5323 Non-Linear Programming

Topics in this course include the N.L.P.  problem, Kuhn-Tucker conditions, quadratic, separable and integer programming and the method of Griffith and Stewart. Prerequisite(s):  MATH 4113 or 5113.

 

MATH 5403 Introduction To Actuarial Science

Topics in this course include single-life mortality functions, annuities, life insurance, premiums, and reserve multiple-life functions.  Prerequisite(s):  STAT 4113 or 5113 or 4353 or 5353.

 

MATH 5413 Differential Equations

Topics in this course include partial differential equations elliptic, hyperbolic, and parabolic equations, separation of variables, and the existence and uniqueness of solutions.  Prerequisite(s):  MATH 5363.

 

MATH 5433 Theory Of Functions

This course in an introduction to the theory of functions of real and complex variables.

 

MATH 5443 Introduction To Complex Variables

This course is an introduction to the theory of functions of a complex variable.  Topics include analytic functions, complex integrals, Taylor and Laurent series, and conformal mappings.  Prerequisite(s):  MATH 2343.

 

MATH 5453 Mathematical Modeling

This course is a case study approach to mathematical modeling.  Problems from a variety of problem areas and demonstrating various mathematical methodologies will be discussed.  Prerequisite(s):  Permission of the instructor.

 

MATH 5503 Symbolic Logic

Topics in this course include the logic of syntax, an analysis of truth-functional compound statements, truth tables, formal and indirect proofs, propositional functions and the use of quantifiers, the logic of relations, and a study of the nature of deductive systems.  Prerequisite(s):  MATH 2323 and 6 hours of mathematics.

 

MATH 5543 Applied Group Theory

Applications of group theory to finite state machines, switching functions, and error detecting codes will be examined in this course.  Other topics include sets, partially ordered sets, functions, and Boolean algebras.  Prerequisite(s):  MATH 4583.

 

MATH 5563 Introduction To Graph Theory

Topics in this course include the structure of graphs, tree, connectivity, planarity, colorability of graphs, digraphs, matrices associated with a graph, and the automorphism group of a graph.  Graph theoretic modeling and applications to engineering, computer science, and data structures will be emphasized.  Prerequisite(s):  MATH 3183 or 3143.

 

MATH 5843 Methods Of Teaching Mathematics And Computer Science

This course examines general aspects of the teaching of mathematics and computer science at the secondary and junior college levels.  Prerequisite(s):  CMSC 1613 and MATH 4843.

 

MATH 5853 - Introduction To Graduate Research

Students in this course will learn how to conduct scholarly research, read professional journals, structure a comprehensive paper, and communicate mathematical concepts.  Each student will submit a comprehensive report in a format appropriate to the nature of the investigated problem.  Prerequisite(s):  Enrollment open to math majors only.

 

MATH 5900 Practicum in Mathematics

Credit will vary from 1 to 4 hours.  Subject matter will vary within the department’s field of study.

 

MATH 5910 Seminar / Special Topics

Credit will vary from 1 to 4 hours.  Directed intensive study on selected problems or special topics.  Prerequisite(s):  Undergraduate minor in the subject matter area and permission of graduate advisor.

 

MATH 5930 Independent Study

Credit will vary from 1 to 4 hours.  Directed intensive study on definite or special subject, based on approved outlines or plans; conference, oral and written reports.  Prerequisite(s):  Permission of instructor.

 

MATH 5950 Internship in Mathematics

Credit will vary from 1 to 8 hours.  Subject matter will vary within the department’s field of study.  Supervised practical experience gained in a professional field by an advanced or graduate student.

 

MATH 5960 Institute in Mathematics

Credit will vary from 1 to 8 hours.  Subject matter will vary within the department’s field of study.

 

MATH 5970 Study Tour

Credit will vary.  Subject matter will vary within the department’s field of study.

 

MATH 5980 Graduate Project

A contemporary problem provided by business and industry and selected with consideration of the interests and abilities of the individual student.  Prerequisite(s):  Written permission of instructor and MATH 5853.  Enrollment open to math majors only.

 

MATH 5990 - Thesis

Credit will vary from 1 to 6 hours.  Subject matter will vary within the department’s field of study.  Prerequisite(s):  Permission of instructor and MATH 5853.  Enrollment open to math majors only.