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MA 503 Linear Algebra (3) Offered on campus: Fall even. Competency:
Discrete Mathematics. Students learn about vector spaces, Euclidean spaces, the foundational propositions of linear algebra, matrices, and quadratic forms in a MATLAB framework and with application to real world problems. Offered concurrently with MA 303; graduate students will be assigned additional work.
MA 521 Multivariate Calculus (3) Offered on campus: Fall; online: Spring odd, Summer even. Competency: Calculus II. Students learn about polar coordinates, improper integrals, vectors and solid analytic geometry, partial differentiation, and multiple integrals. Offered concurrently with MA 321; graduate students will be assigned additional work.
MA 531 Abstract Algebra I (3) Offered on campus: Fall odd. Competency: Discrete Mathematics. Students learn about various number systems and the solvability of equations within these systems. The topics covered include binary operations, operation-preserving maps, groups, rings, fields, and the Fundamental Theorem of Algebra. Offered concurrently with MA 441; graduate students will be assigned additional work.
MA 532 Abstract Algebra II (3) Offered on campus: Spring even. Prereq.: MA 531. Students learn additional properties of rings and fields with an emphasis on groups. Special attention is given to the application of groups and rings to topics from linear algebra. Offered concurrently with MA 442; graduate students will be assigned additional work.
MA 540 Properties of Positive Integers (3) Offered on campus: Spring even; online: Spring. Competency: Calculus II. Students will develop their mathematical skills through the study of the properties of the positive integers, including divisibility, prime numbers and factorization, congruencies, primitive roots, and quadratic equations.
MA 543 Mathematics of Complex Variables (3) Offered on campus and online: Fall even. Competency: Calculus II. Students learn about complex variables, analytic functions, complex integrals, power series, residues and poles, and applications of complex variables. Emphasis is placed on applying these concepts in engineering courses. Offered concurrently with MA 343; graduate students will be assigned additional work.
MA 601 Introduction to Graduate Mathematics Research (3) Offered on campus: Summer; online: Fall even, Spring even. This course is designed to aid students in research and creating bibliographic entries. Students learn how to use the library systems.
MA 603 Differential Equations (3) Offered on campus: Spring; online: Fall odd, Summer even. Competency: Calculus II. Students learn the methods for solving differential equations of the first and second order; also, higher order equations and various methods of finding approximate solutions to differential equations are explained. Offered concurrently with MA 322; graduate students will be assigned additional work.
MA 605 Geometry (3) Offered on campus: Spring even; online: Fall even, Spring even. Prereq.: MA 303 or 503 and MA 321 or 521. Students will learn about spherical, hyperbolic, and projective geometries and will explore informal topological themes including symmetries, surfaces, and graphs. Offered concurrently with MA 405; graduate students will be assigned additional work.
MA 607 Applied Mathematics (3) Offered on campus: Spring odd. Competency: Calculus II. Students learn practical applications of mathematics to the physical world. This course is designed through the use of Excel, MATLAB, and other graphing utilities to show the usefulness of mathematics in solving problems that arise in the business, science, and social science communities. Offered concurrently with MA 407; graduate students will be assigned additional work.
MA 632 Advanced Calculus (3) Offered on campus: Spring odd. Competency: Discrete Mathematics and Calculus II. This course is designed to provide the mathematics student with a better understanding of first-year calculus through the study of the properties of real numbers and functions of real numbers, leading to the Fundamental Theorem of Calculus. The topics covered include sequences, functions, limits, continuity, differentiation, Riemann sums, and integration. Offered concurrently with MA 432; graduate students will be assigned additional work.