Courses

A course designed to develop basic algebra skills. The course is preparation and support for learning more advanced algebra skills. Content includes simplifying numerical and variable expressions involving rational numbers, solving equations, and relating algebra concepts to real- world situations. This course is not for college-level credit. This course is not for college-level credit.

Applications of Algebra and topics in modern algebra, including permutation groups, symmetry groups, Sylow theorems, and select topics from Ring Theory.

This course is in the first half of the algebra sequence. The algebra sequence actions, the Sylow Theorems, rings, modules, fields, field extensions, and an

A graduate level introduction to group theory. Topics include quotient groups, homomorphisms, group actions, Sylow theorems, composition series, simple groups, free groups, fundamental theorem of abelian groups.

Groups, Lagrange's Theorem, normal subgroups, factor groups, Isomorphism and Correspondence Theorems. Symmetric groups, alternating groups, free groups, torsion groups. Introduction to rings, correspondence theorems.

Linear codes, Hamming and Golay codes, BCH codes, cyclic codes. Random error detection and correction. Burst-error correction. Decoding algorithms. Credit will not be given for both MATH 5150 and MATH 6150/6156.

Linear codes, Hamming and Golay codes, BCH codes, cyclic codes. Random error detection and correction. Burst-error correction. Decoding algorithms. Credit will not be given for both MATH 5150 and MATH 6150/6156.

Emphasizes concepts and operations which are applied to the study of algebra. Topics include basic mathematical concepts, basic algebraic concepts, and intermediate algebraic concepts.

This course is a study of the basic algebraic concepts necessary for success in MATH 1314 (College Algebra) to include exponent rules, radical and rational expressions, and the solution of equations and inequalities. This course is not applicable toward any degree.

This course will provide an introduction to algebraic geometry emphasizing polynomial ideals using Groebner bases. Topics include Groebner bases, affine Nullstellensatz, primary decomposition, projective varieties, Grassmannians,