MAS-MATHEMATICS, ALGEBRA

MAS 3105 Linear Algebra . . . . . 3(3,0,0)
Vectors and vector spaces, linear transformations, matrices, determinants. (Gordon Rule Course: Theoretical Math) Prerequisite: MAC 2312.

MAS 4156 Vector Analysis . . . . . 3(3,0,0)
Vector algebra and calculus; line, surface and volume integrals, theorems of Green, Gauss and Stokes. (Gordon Rule Course: Theoretical Math) Prerequisite: MAC 2313.

MAS 4203 Number Theory . . . . . 3(3,0,0)
Divisibility properties of integers, number-theoretic functions, Diophantine equations, theory of congruencies and selected topics, such as continued fractions. (Gordon Rule Course: Theoretical Math) Prerequisite: MHF 3202.

MAS 4301 Abstract Algebra . . . . . 3(3,0,0)
Concepts of basic algebraic structures set, group, ring, integral domain and field. (Gordon Rule Course: Theoretical Math) Prerequisite: MHF 3202.

MAS 5107 Matrix Theory . . . . . 3(3,0,0)
Canonical forms of matrices, similarity, quadratic forms. Prerequisite: MAS 3105.

MAS 5311 Topics in Algebra . . . . . 3(3,0,0)
Theory of rings, polynomial rings and fields. Definition and examples of rings, homorphism, ideals and quotient rings. Field of quotients of integral domain. Euclidean rings, polynomials over fields and rings. Extension fields, zeros of polynomials. Prerequisite: MHF 3202 or MAS 3105.