This proof-intensive, theoretic course examines the properties and theory of generalized algebraic structures, focusing primarily on groups, rings, integral domains, and fields. Illustrative examples include the real number system and several of its sub-systems, permutation groups, groups of functions under composition, modular arithmetic, the complex numbers, and matrices.
- Prerequisites: Math 207 and Math 241
- Credits: 3
- Offered: Fall of even years.