# Mathematics (MTH)

MTH 500 Structure of Algebra3 Credit hours

Emphasis on the language of Modern Elementary Algebra. Recommended for preservice elementary teachers and for elementary and secondary in-service teachers. May not be used for a degree offered by the Department of Mathematics of in the twelve hour content block of the Secondary Education MA Degree program for students with mathematics certification in grades 7-12.

MTH 501 Structure Modern Geometry3 Credit hours

Informal development of geometry. Recommended for pre- service elementary teachers and for elementary and secondary in-service teachers. May not be used for a degree offered by the Department of Mathematics or in the twelve hour content block of the Secondary Education MA Degree program for students with mathematics certification in grades 7-12.

MTH 527 Advanced Calculus I3 Credit hours

The number system, limits, sequences, partial differentia- tion with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, improper integrals, infinite series.

MTH 528 Advanced Calculus II3 Credit hours

The number system, limits, sequences, parital differentia- tion with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, infinite series.

Pre-req: MTH 527 with a minimum grade of C.

MTH 548 Modern Geometries3 Credit hours

Finite geometrics, basic background material for the modern development of Euclidean Geometry, other geometries.

MTH 549 Projective Geometry3 Credit hours

Projective geometry using both synthetic and algebraic methods.

Attributes: No Textbook Required
MTH 550 Modern Algebra I3 Credit hours

Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and applications from Number Theory.

MTH 552 Modern Algebra II3 Credit hours

Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and application from Number Theory.

Pre-req: MTH 550 with a minimum grade of C.

MTH 580 Special Topics1-4 Credit hours

Courses on special topics not listed among the current course offerings.

Attributes: No Textbook Required
MTH 585 Independent Study1-4 Credit hours
Attributes: No Textbook Required
MTH 589 Graduate Mathematics Seminar1 Credit hour

A seminar on topics relevant to graduate students in mathematics, including college-level teaching, conducting research, professional ethics, and mathematics careers. THis course does not satisfy any degree requirements.

Attributes: No Textbook Required
MTH 615 Partial Differential Equations3 Credit hours

Elementary partial differential equations. Heat equation, LaPlace’s equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials.

MTH 616 Advanced Differential Equ3 Credit hours

Differential equations are studied qualitatively. Topics include the existence and uniqueness of solutions and the behavior of solutions including the stability of nonlinear systems, periodic solutions, and approximation using perturbation methods.

MTH 630 Topology I3 Credit hours

General topology including separation axioms, connectedness, compactness, convergence, continuity, metric spaces, product and quotient spaces.

MTH 631 Topology II3 Credit hours

General topology including separation axioms, connectedness, compactness, convergence, continuity, metric spaces, product and quotient spaces.

Pre-req: MTH 630 with a minimum grade of C and MTH 550 with a minimum grade of C.

MTH 635 Graph Theory and Combinatorics3 Credit hours

The course is designed to introduce students in mathematical sciences to the theorems, techniques and applications of graph theory and combinatorics.

MTH 640 Complex Variables I3 Credit hours

A study of algebra, topology, and geometry of the complex plane; holomorphic functions; conformal mapping; analytic functions and analytic continuation; complex integration; representation theorems; convergence theorems and related topics.

Attributes: No Textbook Required
MTH 642 Numerical Linear Algebra3 Credit hours

Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error analysis and norms. Related Topics.

Attributes: No Textbook Required
MTH 643 Numerical Analysis3 Credit hours

The theory and technique of numerical computation involving the difference calculus, the summation calculus, interpolation methods, solutions of equations, and methods of solution of ordinary differential equations.

MTH 650 Real Variables I3 Credit hours

A study of measure and integration and related topics.

Pre-req: MTH 528 with a minimum grade of C.

MTH 655 Number Theory3 Credit hours

A survey of some basic properties of the integers: divisibility (prime numbers,factorization,perfect numbers), congruences (modular arithmetic, linear and quadratic congruences, the Chinese Remainder Theorem), and Diophantine equations.

MTH 667 Num Partial Diff Equations3 Credit hours

Finite difference methods for elliptic, parabolic, and hyperbolic PDEs. Study of properties such as consistency, convergence, and stability. Computer implementation.

Pre-req: MTH 527 with a minimum grade of C.

MTH 670 Independent Study1-4 Credit hours

An independent programof study of advanced topics not normally covered in other courses. The topics are chosen upon mutual agreement between the student and the instructor

Attributes: No Textbook Required