MTH 414 - Abstract Algebra

Abstract Algebra (also called Modern Algebra) is the study of objects and operations on those objects. Many familiar sets can be categorized based upon their “stripped down” structures when seen in the greatest possible generality or abstraction. Topics include symmetries, groups, permutations, factor groups, homomorphisms, rings fields, polynomials, unique factorization, integral domains, Euclidean constructions and the insolvability of the general quintic equation, as time allows. Algebraists utilize the familiarity and concreteness of a great variety of examples, and the beauty of mathematical proof.

Prerequisites & Notes
Course Codes: BR. Prereq: MTH*201 with a grade of C or better. Normal Offering Cycle: Spring

Credits: 3