Honors Algebra I

(4 Credits)

This introduction to abstract algebra is a rigorous study of groups and rings. Topics covered include symmetric and linear groups, the Sylow theorems, classification of finitely generated abelian groups, polynomial and quotient rings, ideals, principal ideal domains, unique factorization, and the Nullstellensatz. Prerequisites: Grade C or better in MATH-SHU 141 (Honors Linear Algebra I, or grade B or better in MATH-SHU 140 (Linear Algebra) Fulfillment: Math constrained Math elective; Honors Math required course.