# Graduate Credit for Undergraduate Mathematics (MATH) Courses

To earn graduate credit for any undergraduate course authorized in the graduate

catalog, the student must complete an extra assignment of graduate level quality that

is not required of undergraduate students. The following advanced undergraduate

courses have been approved by the Graduate Council for graduate credit.

**4321. Real Variables. 3(3-0)**

The real number system, its structure and properties. Properties of real functions and

sequences, including uniform continuity and the Cauchy criterion. Introduction to the

theory of sets. Theory and application of the derivative. Introductory concepts of function

spaces, norms, and metrics.

Prerequisite: 6 semester hours of advanced mathematics, including MATH 3325.

**4340. Modern Algebra. 3(3-0)**

Properties of the integers: divisibility, prime factorization, and congruences. Integral

domains, rings, and fields. Groups, permutations, and cosets. A historical development of

these topics is included. Not applicable for credit in the physical sciences or engineering.

Prerequisite: MATH 3325.

**4341. Linear Algebra and Matrix Theory. 3(3-0)**

Vector spaces and their linear subspaces. Representation of linear transformations by

matrices. Normal forms, eigenvalues, special transformations and applications.

Prerequisite: 6 semester hours of advanced mathematics.

**4370. Vector Analysis. 3(3-0)**

Vector algebra and geometry. Scalar and vector products. Vector functions and motion

in polar coordinates. Scalar and vector fields with applications to line and surface integrals.

Prerequisites: MATH 3415 and MATH 3320 or equivalent

**4371. The Laplace Transformation and its Applications. 3(3-0)**

An introduction to the theory of the Laplace Transformation. Applications to the solution

of ordinary and partial differential equations, integral equations, difference equations,

and integro-differential equations. An introduction to other types of integral transformations.

Prerequisites: MATH 3415 and MATH 3320.

**4372. Mathematics for Physics and Engineering I. 3(3-0)**

Infinite series, matrix methods, vector analysis, applied multivariate calculus, and Fourier series.

Prerequisites: MATH 3415 and MATH 3320.

**4373. Applications of Matrix Methods. 3(3-0)**

Matrices and their inverses, determinants, eigenvalues and eigenvectors, Jordan canonical

forms. Applications to simultaneous linear equations, matrix calculus an linear differential equations.

Prerequisites: MATH 3415 and MATH 3320.

**4374. Numerical Analysis. 3(3-0)**

The mathematical formation of the concepts in numerical analysis. These concepts include the

theory of errors, roots of equations, interpolation, linear systems of equations, numerical

differentiation and integration, and solutions of ordinary differential equations.

Prerequisites: MATH 3415 and MATH 3320.

This page was last updated on: January 7, 2016