MATH 415 Algebraic Structures

A study of basic ideas of abstract algebra and includes groups, rings, vector spaces, fields, and polynomials. 

Credits

3

Prerequisite

MATH 230

Offered

As needed

Student Learning Outcomes

1. Define and demonstrate understanding of the following mathematical concepts: group, ring, field, permutation, isomorphism, cyclic group, coset, homomorphism, and quotient group
2. Prove basic theorems related to groups, rings, and fields; and
3. Construct operation tables for symmetric groups.