Mathematics & Computer Science Graduate Courses

• MAT 4750 - Linear Programming.

(3-0-3) A study of linear inequalities, linear programming problems, and the techniques for solving linear programming problems by the simplex method.

Prerequisites & Notes
MAT 2442; and MAT 2550 or 4760.

Credits: 3

• MAT 4760 - Linear Algebra.

(4-0-4) Vector spaces, linear transformations, dual spaces, invariant direct sum decompositions, Jordan form, inner product spaces.

Prerequisites & Notes
MAT 2550 and 3530.

Credits: 4

• MAT 4780 - Mathematics of Interest.

(3-0-3) Compound and simple interest, annuities, amortization and sinking funds, bonds, and other topics related to insurance.

Prerequisites & Notes
MAT 2443 and 3701.

Credits: 3

• MAT 4800 - Diagnosis, Remediation, and Technology in Teaching Mathematics, K-12.

(2-0-2) The study of diagnosis, prescription, and remediation and their applications in teaching mathematics, K-12, as well as the applications of modern technological advances to the teaching of mathematics.

Prerequisites & Notes
MAT 3400 or 3520 or 3620 or permission of the instructor.

Credits: 2

• MAT 4810 - Topics in Elementary and Middle Level Mathematics.

(Arr.-Arr.-1 to 4) Topics from mathematics useful in the elementary, middle level, and/or junior high school such as: probability, history of mathematics, Logo, number theory, etc. This course may be repeated for credit. A maximum of nine semester hours credit may be counted toward a degree program.

Prerequisites & Notes
High school Geometry and Algebra II, or MAT 1271 or placement by ACT Mathematics score; and MAT 1420 and 2420G, all with a C or better.

Credits: 1 to 4

• MAT 4830 - Introduction to Complex Analysis with Applications.

(3-0-3) Introduction to complex numbers, analytic functions, linear fractional transformations, the Cauchy-Goursat theorem, residues and poles.

Prerequisites & Notes
MAT 2443.

Credits: 3

• MAT 4850 - Operations Research.

(3-0-3) Construction and use of mathematical models in industrial problem solving; linear programming, decision and game theory. PERT-CPM, inventory models, queuing theory, and simulation.

Prerequisites & Notes
MAT 2550, 3702 and 4750.

Credits: 3

• MAT 4855 - Introduction to Topology.

(3-0-3) Introduction to topological spaces, continuous functions, connectedness, compactness, countability and separation axioms, the Tychonoff theorem, and complete metric spaces.

Prerequisites & Notes
MAT 3530 or permission of the instructor.

Credits: 3

• MAT 4860 - Mathematical Analysis.

(4-0-4) A study of limits, convergence of sequences and series, continuity, differentiation, and Riemann integration.

Prerequisites & Notes
MAT 3530, and C or better in MAT 2443.

Credits: 4

• MAT 4870 - Data Structures and Algorithm Analysis.

	(3-0-3) Advanced data structures and analysis of their related algorithms; trees, heaps and graphs; searching and sorting. C++ or another object-oriented language will be introduced and used to implement algorithms. Prerequisites & Notes MAT 2670 or permission of the instructor. Credits: 3

• MAT 4880 - Design and Analysis of Algorithms

(3-0-3) Design paradigms of algorithms such as brute-force, exhaustive search, divide-and-conquer, backtracking, greedy approach and dynamic programming. Mathematical analysis of algorithms; P, NP, and NP-complete problems; heuristics, approximation algorithms, optimality.

Prerequisites & Notes
MAT 3870 or permission of instructor.

Credits: 3

• MAT 4885 - Theory of Computation

(3-0-3) Proof techniques, finite automata, regular expressions and languages, properties of regular languages, context-free grammars and languages, pushdown automata, properties of context-free languages, Turing machines, and undecidability.

Prerequisites & Notes
MAT 2670 and MAT 2345, or permission of instructor.

Credits: 3

• MAT 4900 - History of Mathematics.

(3-0-3) The Ancient Orient. The period of Ancient Greece. The Hellenistic period. Seventeenth to nineteenth century A.D. The beginnings of modern Mathematics.

Prerequisites & Notes
MAT 2800.

Credits: 3

• MAT 4910 - Number Theory.

(3-0-3) Divisibility, primes, congruences, power residues, quadratic reciprocity, numerical functions, diophantine equations.

Prerequisites & Notes
MAT 3530.

Credits: 3

• MAT 4920 - Algebra and Geometry for Middle Level Teachers.

(3-0-3) The study of algebra and geometry as formal systems, finite geometries, constructions and the classic impossibilities, tessellations, polyhedra, transformational geometry, symmetry and similarity.

Prerequisites & Notes
MAT 1271 or placement by ACT Mathematics score; and MAT 1420 and 2420G, all with a C or better.

Credits: 3

• MAT 4970 - Principles of Operating Systems.

(3-0-3) Historical development of operating systems, processes, and concurrency, memory management, file systems, I/O. Case studies include UNIX, DOS, MVS.

Prerequisites & Notes
MAT 3670 or permission of the instructor.

Credits: 3

• MAT 5035 - Topics in Computer Science.

(4-0-4) Selected topics in theoretical or applied computer science. Topics may vary depending on student and faculty interests. May be repeated once for credit with change of topic.

Prerequisites & Notes
Permission of the instructor.

Credits: 4

• MAT 5050 - Numerical Analysis.

(4-0-4) Rounding errors, difference equations, solutions of equations and systems of equations, interpolations, numerical differentiation.

Prerequisites & Notes
MAT 2310 and 3501 or permission of instructor.

Credits: 4

• MAT 5100 - Abstract Algebra.

(4-0-4) Introduction to the study of groups, rings and fields.

Prerequisites & Notes
MAT 3530 and 4760 or permission of instructor.

Credits: 4

• MAT 5151 - Probability.

(4-0-4) Elementary and general probability spaces. Random variables, multivariate distributions and the algebra of expectations.

Prerequisites & Notes
MAT 3702 or permission of instructor.

Credits: 4

• MAT 5152 - Statistics.

(4-0-4) Random sampling, the law of large numbers, confidence intervals, regression, sampling from a normal population and testing hypotheses.

Prerequisites & Notes
MAT 5151 or permission of instructor.

Credits: 4

• MAT 5200 - Higher Geometry.

(4-0-4) A selection of topics from transformation geometries.

Prerequisites & Notes
MAT 4760 or permission of instructor.

Credits: 4

• MAT 5210 - An Introduction to Differential Geometry.

(4-0-4) Local theory of curves and surfaces in Euclidean space. The first and second fundamental forms of a surface. Normal and geodesic curvatures of a curve on a surface. Mean and Gaussian curvatures of a surface. Geodesic lines. Theorema Egregium. Global theorem on curves in Euclidean plane.

Prerequisites & Notes
MAT 2443 or permission of instructor.

Credits: 4

• MAT 5220 - Topology.

(4-0-4) Metric spaces. Topological spaces. Connectedness. Compactness.

Prerequisites & Notes
MAT 4860 or permission of instructor.

Credits: 4

• MAT 5301 - Real Variables.

(4-0-4) Set theory. Cardinal numbers. Real numbers. Measure theory. Lebesque theory.

Prerequisites & Notes
MAT 4860 or permission of instructor.

Credits: 4

• MAT 5330 - Complex Variables.

(4-0-4) Complex numbers, analytic functions, conformal mappings, complex integrals.

Prerequisites & Notes
MAT 4830 and 4860 or permission of instructor.

Credits: 4

• MAT 5335 - Topics in Mathematics.

(Arr.-Arr.-2 to 4) Topics selected from advanced areas in mathematics. Topics may vary depending on student and faculty interests. May be repeated for credit.

Credits: 2 to 4

• MAT 5400 - The Teaching of Mathematics in Grades K-6.

(3-0-3) The techniques, methods, and materials used in teaching the concepts and skills of arithmetic in grades K through six.

Prerequisites & Notes
Enrollment in the curriculum for elementary teachers.

Credits: 3

• MAT 5410 - Introduction to Research in Mathematics Education.

(3-0-3) This course provides experiences in defining problems and in using research techniques to apply, interpret, and evaluate research specific to mathematics education.

Prerequisites & Notes
Eight semester hours of coursework in the degree program.

Credits: 3

• MAT 5635 - Mathematical Topics for Secondary School Mathematics Teachers.

(Arr.-Arr.-2 or 3) Topics selected from areas of mathematics useful in teaching high school mathematics including algebra, analysis, geometry, etc. May be repeated for credit if a different topic is taught. A maximum of nine semester hours credit may be earned toward a Master's degree program.

Credits: 2 or 3

• MAT 5700 - Topics in Teaching Mathematics.

(Arr.-Arr.-2 to 4) Study of problems which arise in teaching secondary mathematics, research in mathematics education; assigned reading reports.

Prerequisites & Notes
Experience teaching grades six through twelve. May be repeated for a maximum of nine semester hours credit.

Credits: 2 to 4

• MAT 5810 - Topics in Mathematics for Elementary/Middle School Teachers.

(Arr.-Arr.-1 to 4) Topics in mathematics useful in the elementary and/or middle level classroom. Topics include, but are not limited to, algebra, number theory, geometry, graph theory, probability and statistics. This course may be repeated for credit. A maximum of 6 semester hours credit may be counted toward a degree program.

Prerequisites & Notes
Experience teaching elementary or middle level grades or permission of instructor.

Credits: 1 to 4

• MAT 5950 - Thesis.

(Arr.-Arr.-3 to 6) As arranged. (Credit/No Credit) NOTE: A maximum of nine semester hours may be earned in a combination of 5950 and 5990.

Prerequisites & Notes
Permission of instructor and department chair.

Credits: 3 to 6

• MAT 5951 - Non-credit Thesis

(0-0-0) The purpose of this course is to allow a graduate student to remain continuously enrolled as an auditor and access services required to complete the thesis after completing the maximum number of hours of credit for thesis [5950], research [5900], and independent study [5990] in a thesis option.

Credits: 0

• MAT 5990 - Independent Study.

(Arr.-Arr.-1 to 6) As arranged. NOTE: A maximum of nine semester hours may be earned in a combination of 5990 and 5950.

Prerequisites & Notes
Permission of instructor and department chair.

Credits: 1 to 6