Metropolitan State University

MATH 471 : Abstract Algebra

A. Course Description
Credits: 4
Prerequisites: MATH 301 Introduction to Analysis AND
MATH 315 Linear Algebra and Applications  
Lab Hours/ Weeks: Corequisites: None
Lecture Hours/ Week :  
MnTC Goals: Goal LS - Upper Division Liberal Studies , Goal EL - General Education/Liberal Studies Elect.
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.
B. Course Effective Dates: 09/06/1999 - 05/04/2002 05/04/2002 - 12/15/2009 12/16/2009 - 08/14/2010 08/15/2010 - Present
C. Outline of Major Content Areas:
See Course Description for major content areas.
D. Learning Outcomes (General)
  1. Be able to read and understand mathematical proofs.
  2. Be able to write well-structured and logically correct mathematical proofs.
  3. Understand divisibility in the context of the integers and modular arithmetic.
  4. Understand the basic properties of groups and rings.
  5. Understand the role of functions in abstract algebra including the concepts of homomorphism and isomorphism.
  6. Understand the structure of finite abelian groups.
E. Learning Outcomes (MN Transfer Curriculum)
Goal LS - Upper Division Liberal Studies
Goal EL - General Education/Liberal Studies Elect.
G. Special Information