Department of Mathematics
You are here: CSM > Mathematics > Courses > Undergraduate > MATH 360

MATH 360 : Abstract Algebra I

Credits: 3

Course Description: Review of set theory and introduction to mathematical proof. Introduction to concepts and techniques of group theory, including but not limited to: symmetric groups, axiomatic definitions of groups, important classes of groups, subgroups, group homomorphisms, coset theory, normal subgroups, quotient groups, direct products, Sylow theorems. Possible applications include number theory, geometry, physics and combinatorics.

Pre-Requisites: MATH 260.

Comments: Course offered in the fall only.

Chapter 0:
Sets and Relations.
Chapter 2:
Permutations, Cosets and Direct Products
Chapter 3:
Homomorphisms and Factor Groups [sections 13-16]
Chapter 4:
Rings and Fields [sections 18-23]
Chapter 5:
Ideals and Factor Rings [sections 26-27]
Chapter 6:
Extension Fields [sections 29-32]
Chapter 7:
Advanced Group Theory

  Logo - Mathematics Department Department of Mathematics
University of Massachusetts Boston
Phone: 617-287-6460;   Fax: 617-287-6433