MATH 471

Abstract Algebra

4 Undergraduate credits
Effective August 1, 1998 – Present

Graduation requirements this course fulfills

By extending the familiar concepts of arithmetic, this course introduces abstract algebraic structures. Topics include an introduction to number theory; group theory, including the classification of all finite abelian groups; rings, integral domains, and fields.

Learning outcomes

General

  • Be able to read and understand mathematical proofs.
  • Be able to write well-structured and logically correct mathematical proofs.
  • Understand divisibility in the context of the integers and modular arithmetic.
  • Understand the basic properties of groups and rings.
  • Understand the role of functions in abstract algebra including the concepts of homomorphism and isomorphism.
  • Understand the structure of finite abelian groups.