MATH 3306 - Introduction to Modern Algebra

Credits: 3 Class: 3 Lab: 0
Prerequisite(s): A grade of C or better in MATH 2307 - Linear Algebra and MATH 2409 - Introduction to Proofs.
Topics include operations on sets, groups, Abelian groups, permutation groups, subgroups, the integers modulo n, cyclic groups, direct products, cosets, quotient groups, normal subgroups, group homomorphisms and isomorphisms, and an introduction to rings. Applications will include coding, networks, minimal spanning trees and linear machines, as time permits.