Math 511 syllabus

Algebra I 

Bulletin Description:
A graduate level introduction to group theory. Topics include quotient groups, homomorphism, group actions, Sylow theorems, composition series, simple groups, free groups, and fundamental theorem of abelian groups. This course is taught in the traditional lecture format.  3 Credits.

Prerequisites: An undergraduate course in abstract algebra.

Suggested Text:   Algebra, Second Edition, by Michael Artin.
ISBN:  978-0-13-241377-0

Coverage:   Chapters 2, 6 and 7 as well as selected topics from chapter 9.

Learning Objectives

  • Students are expected to gain a deep understanding of the fundamental algebraic concept of a group, its properties and applications.

  • Students are expected to be able to state definitions precisely, to construct proofs of mathematical statements, to read and understand proofs of mathematical theorems, and to apply these theorems and learned techniques to new situations.

Last updated: October 16, 2014.