MAS: Mathematics: Algebraic Structures Courses

College:Hal Marcus College of Science and Engineering

Courses

MAS 3105   Linear Algebra

3 sh (may not be repeated for credit)
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. Meets Gordon Rule Theoretical Mathematics Requirement.

MAS 3905   Directed Study

1-12 sh (may be repeated indefinitely for credit)

MAS 4203   Number Theory

3 sh (may not be repeated for credit)
Prerequisite: MHF 3202

Divisibility properties of integers, number-theoretic functions, Diophantine equations, theory of congruences and topics in cryptography. Meets Gordon Rule Theoretical Mathematics Requirement.

MAS 4301   Abstract Algebra

3 sh (may not be repeated for credit)
Prerequisite: MHF 3202

Concepts of basic algebraic structures, set, group, ring, integral domain and field. Meets Gordon Rule Theoretical Mathematics Requirement.

MAS 4905   Directed Study

1-12 sh (may be repeated indefinitely for credit)

MAS 5145   Matrix Theory

3 sh (may not be repeated for credit)

Canonical forms of matrices, similarity, quadratic forms.

MAS 5905   Directed Study

1-12 sh (may be repeated indefinitely for credit)

MAS 6329   Topics in Applied Algebra

3 sh (may not be repeated for credit)

This course is intended to apply the fundamental concepts of abstract algebra to various branches of mathematics, including number theory, combinatorics, and geometry. There will be an emphasis on graph theory, design theory, and coding theory applications.

MAS 6905   Directed Study

1-12 sh (may be repeated indefinitely for credit)