For term dates, please see https://www.una.edu/registrar/Academic%20Calendars/index.html.

MA 600. Applied Engineering Programming. (3 Credits) Use of high level programming language (Matlab) and associated application programming interfaces (API) to design and create models for manufacturing processes. Programming methods for designing, implementing and using machines used in manufacture. The approach will be practical where students will learn to develop, debug and execute scripts to achieve specific objectives.

MA 602. Advanced Applied Engineering Mathematics. (3 Credits) Advanced Applied Engineering Mathematics: Mathematics remains the language which engineers design, modify and use machines. Topics covered will include: linear algebra, differential equations, numerical methods and approximations, use of computer algebra systems like MATLab.

MA 625. Found in Geometry for Teacher. (3 Credits) Development of Euclidean geometry in two and three dimensions using the axiomatic methods. Introduction to non-Euclidean geometries.

MA 630. Foundations of Advanced Mathematics (*) (3 Credits) Proof-writing techniques; logic; sets and functions; fundamental topics in analysis, abstract and linear algebra, number theory, and combinatorics. Prerequisite: Admission to MS in Mathematics Program or permission of instructor.

MA 631. Vector Spaces (3 Credits) This course is an abstract, mathematically rigorous study of linear algebra through the examination of vector spaces and linear transformations. Topics include fields, structure of vector spaces, linear transformations and matrices, systems of linear equations, determinants, diagonalization, eigenspaces, inner product spaces, and canonical forms. Prerequisite: A grade of B or higher in MA 630.

MA 637. Group Theory. (3 Credits) Introduction to groups; subgroups; group homomorphisms; quotient groups; direct products; semidirect products; group actions; and the Sylow theorems. Prerequisite: A grade of B or higher in MA 630 or permission of instructor.

MA 638. Rings and Fields. (3 Credits) This course provides an in depth, rigorous study of rings, domains, modules, and fields. Additional topics may include, commutative algebras, tensor products, exact sequences, or Galois theory. Prerequisite: MA 630

MA 651. Advanced Calculus I. (3 Credits) Logic; basic set theory and topology; real number system; limits; functions; continuity; sequences and series. Prerequisites: MA 630 with a grade of C or higher or permission of instructor.

MA 652. Advanced Calculus II. (3 Credits) Derivatives; sequences and series of functions; convergence; power series; Riemann-Stieltjes integral; Fourier series. Prerequisite: MA 651 with a grade of C or higher

MA 653. Real Analysis I. (3 Credits) Real number system, Lebesque measure, Lebesque integral, convergence theorems, differentiation of monotone functions, absolute continuity and the fundamental theorem of calculus, L^p spaces, Holder and Minkowoski inequalities, and bounded linear functions on the L^p spaces. Prerequistie: MA 652 with a grade of C or higher.

*An additional 600 level mathematics elective which is not used to satisfy the Elective requirement below may be substituted for MA 630. This course substitution must be approved by Graduate Coordinator, and Department Chair of Mathematics.

 See all courses here.