MATH 623 - Algebraic Reasoning and Mathematical Structures

Credits: (3)

Prerequisites: Undergraduate course in Modern or Abstract Algebra or permission of instructor.
Abstract algebra with a focus on topics directly related to high school algebra and geometry: basic number theory, rings of integers and polynomials, elementary group theory, fields, classical geometric constructions, and the insolubility of the quintic. Applications will be considered as time permits. A computer algebra system will be employed in examples and assignments.