MATH 471 Abstract Algebra
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.
Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics department for an override at MATH@metrostate.edu.
Prerequisites
Special information
4 Undergraduate credits
Effective August 1, 1998 to present
Meets graduation requirements for
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.
Fall 2025
| Section | Title | Instructor | books | eservices |
|---|---|---|---|---|
| 01 | Abstract Algebra | Zhang, Yue | Books for MATH-471-01 Fall 2025 | Course details for MATH-471-01 Fall 2025 |