Algebra

Catalog description

Review and continuation of the study of algebra begun in MATH 470. Covers some of the following: the theory of finite group theory including the Sylow Theorems, polynomial ring, unique factorization, number fields, and finite fields. The latter half of the course will cover field extensions and Galois Theory, including the classic theorems on the unsolvability of the general quintic and the impossibility of certain ruler and compass constructions, such as trisecting an angle. Prerequisite(s): For undergraduate students and enrollment requirement For graduate students: MATH 470 with a grade of C (2.0) or better.