500
An introduction to the theory, practical applications, and algorithms of linear programming and nonlinear programming. Prerequisites:
MTH 233 or graduate standing.
Credits
3(3-0)
Properties of integers, congruences, greatest common divisors and prime factorization, applications of number theory to computer science and/or cryptology. Prerequisite:
MTH 332.
Credits
3(3-0)
Groups, rings, integral domains, fields, and fundamental homomorphism theorems. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Vector spaces, subspaces, bases and dimensions; linear transformations, their algebra, their representation by matrices, and linear functionals; eigenvalues, triangularizable and diagonalizable transformations; inner product spaces. Prerequisite:
MTH 523 or graduate status.
Credits
3(3-0)
Representation theory of finite groups, Specht modules, combinatorics of Young tableaux, and symmetric functions. Prerequisite:
MTH 525.
Credits
3(3-0)
Rigorous development of calculus for functions of one variable. The real number system, sequences, limits, continuity, differentiation, integration, exponential and logarithmic functions, series, uniform convergence. Credits will not count towards MA or Ph.D. degree requirements in mathematics. Prerequisites:
MTH 233, 332; or graduate status.
Credits
3(3-0)
Continuation of
MTH 532. Rigorous development of calculus of several variables. Limits, continuity, differentiation, integration, implicit and inverse function theorems, differential forms. Prerequisite:
MTH 532.
Credits
3(3-0)
High order equations, series solutions, Bessel functions, nonlinear differential equations, stability, introduction to partial differential equations, boundary value problems, SturmLiouville theory, applications to physical/engineering sciences. Prerequisites:
MTH 233, 334; or graduate standing.
Credits
3(3-0)
Differential geometry of curves and surfaces. Curvature, maps between surfaces, vector fields and differential forms, Stokes' theorem, Euler characteristic, Gauss-Bonnet theorem. Prerequisites:
MTH 233, 332; or admission to graduate program in Mathematics. Recommended:
MTH 532.
Credits
3(3-0)
Sets, functions, metric spaces, topological spaces, homeomorphisms, compactness and connectedness, quotient spaces. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Problem-solving, set theory, logic, number theory, algebra, consumer mathematics and mathematical systems. Credit will not apply toward a master's degree in mathematics. Prerequisites:
MTH 254 and 351.
Credits
3(3-0)
History of mathematical developments of western and non-western cultures for use in grades K-8. Credit will not apply toward a master's degree in mathematics. Prerequisites:
MTH 254, 351.
Credits
3(3-0)
This course explores how popular culture (such as television, comics, movies, music and books) portrays mathematicians and mathematics as a discipline. This course is intended for elementary education mathematics majors and minors or in-service teachers. Prerequisite:
MTH 256.
Credits
3(3-0)
Survey of the history of mathematics, focusing on topics taught in secondary schools and undergraduate courses. Emphasis on representing diverse mathematics traditions and legacies. Prerequisite:
MTH 332 or graduate standing.
Credits
3(3-0)
Introduction to enumerative combinatorics and graph theory. Topics include the graphs, networks and flows, partially ordered sets, principle of inclusion-exclusion, generating functions, and partitions. Prerequisites:
MTH 523.
Credits
3(3-0)
Theory and application of linear programming and mathematical programming. Simplex method, duality theory and sensitivity analysis, interior point algorithm, and mathematical programming problems. Prerequisite:
MTH 233 or graduate standing.
Credits
3(3-0)
Continuation of
MTH 586. Dynamic programming and optimization. Theory and application of stochastic modeling. Game, queuing and network theory, inventory models, Markov processes, decision analysis, simulation. Prerequisites: STA 382;
MTH 586.
Credits
3(3-0)
Problem-solving techniques demonstrated through solutions of the Putnam Examination problems. Designed particularly for those students interested in participating in the Putnam Examination. Prerequisite:
MTH 233; permission of instructor.
Credits
1-3(Spec)
Subject matter not included in regular mathematics education course. May be taken for credit more than once, total credit not to exceed 6 hours. Specific topics and pre/co-requisites will be announced in Course Search and Registration. May not be counted toward a major or minor in mathematics except for students pursuing a B.S. in Ed. degree. Pre/Co- requisites: See Course Search and Registration.
Credits
1-6(Spec)
Subject matter not included in regular course. May be taken for credit more than once, total credit not to exceed 6 hours. Pre/Co-requisite: See Course Search and Registration.
Credits
1-6(Spec)
The in-depth study of a topic in mathematics under the direction of a faculty member. Prerequisite: Permission of instructor.
Credits
1-6(Spec)