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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
MTH 548 Modern Geometries3 Credit hours   

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

Grade Mode: Normal Grading Mode
MTH 549 Projective Geometry3 Credit hours   

Projective geometry using both synthetic and algebraic methods.

Attributes: No Textbook Required
Grade Mode: Normal Grading Mode
MTH 550 Modern Algebra I3 Credit hours   

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

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
MTH 580 Special Topics1-4 Credit hours   

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

Attributes: No Textbook Required
Grade Mode: Normal Grading Mode
MTH 585 Independent Study1-4 Credit hours   
Attributes: No Textbook Required
Grade Mode: Normal Grading Mode
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
Grade Mode: Credit/No Credit Grade Only
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
MTH 630 Topology I3 Credit hours   

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

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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
Grade Mode: Normal Grading Mode
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
Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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.

Grade Mode: Normal Grading Mode
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
Grade Mode: Normal Grading Mode
MTH 681 Thesis1-6 Credit hours   
Attributes: No Textbook Required
Grade Mode: Normal Grading Mode
MTH 690 Special Topics1-4 Credit hours   

Courses on special topics not listed among the current course offerings. (PR: Permission of Instructor)

Grade Mode: Normal Grading Mode