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

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

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

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

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

MAS 5311 Topics in Algebra . . . . . 3(S)
Prerequisite: MHF 3202 or MAS 3105.
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.