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
- Read and analyze mathematical proofs.
- Create well-structured and logically correct mathematical proofs.
- Apply divisibility concepts and modular arithmetic operations within the set of integers.
- Apply the defining properties of groups and rings to solve problems related to cyclic groups, subgroups, quotient groups, and simple rings.
- Examine the role of functions in abstract algebra, focusing on homomorphisms and isomorphisms and how they preserve algebraic structure.
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 |