The properties of groups, rings, and fields are developed. Topics include polynomial rings, factorization, unique factorization domains, Euclidean domains, simple groups, Fundamental Theorem of Finite Abelian Groups. Additional topics may include field extensions, finite fields, geometric constructions, and the classificationÂ of groups of small order.

Credit Weight:
0.5
Prerequisite(s):
Mathematics 2232
Offering:
0-0; 3-0
Notes:
Students who have previous credit in both Mathematics 2231 and 2233 may not take Mathematics 2232/2234 for credit.
Course Classifications:
Type C: Engineering, Mathematical and Natural Sciences