MATH 3500 - Abstract Algebra I

(3) Credit Hours
Prerequisite: MATH 2450; MATH 2500
This course is an axiomatic introduction to groups, rings and fields and their properties. The four main components of this course are: groups and subgroups, normal subgroups and quotient groups, homomorphisms and isomorphisms and rings and fields. After successfully completing this course, students will be able to: (1) Prove properties of an algebraic system working from basic axioms in each of the four components. (2) Use theorems and techniques to solve problems in each of the four components. (3) Solve problems involving a standard set of examples in each of the four components. (4) Identify real-world applications of abstract algebra and solve problems related to those applications.