MAS-MATHEMATICS: ALGEBRAIC STRUCTURES
 

MAS 3105         Linear Algebra (Pending)              3

Prerequisite: MAC 2312.

Systems of linear equation, row echelon form, matrix algebra, determinants and their properties, vector spaces, linear independence, base and dimension, row and column spaces, linear transformations and their matrix representations, similarity, inner product and orthogonality, eigenvalues and eigenvectors, diagonalization, applications of linear algebra. (Gordon Rule Course: Theoretical Math)

MAS 4156         Vector Analysis            3

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

Prerequisite: MHF 3202.

Divisibility properties of integers, number-theoretic functions, Diophantine equations, theory of congruences and topics in cryptography. (Gordon Rule Course: Theoretical Math)

MAS 4301         Abstract Algebra            3

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

Prerequisite: MAS 3105.

Canonical forms of matrices, similarity, quadratic forms.