MATH 347: Introduction to Abstract Algebra

Course Description

This course offers an introduction to groups and rings, which are formed by associative operations on sets. A group has one operation, an identity, and inverses exist. Groups covered in this class include permutation, symmetric, alternating, and dihedral groups. Rings, which have addition and multiplication operations, arise naturally as generalized number systems. Rings covered in this class include matrices, integers modulo n, and polynomial rings. These algebraic systems have applications in art, biology, chemistry, combinatorics, computer science, geometry, linguistics, music, physics, and topology. Prerequisite: MATH 222 with a grade of C or better. 347/547