Abstract Algebra

Instructor, Washington State University, Department of Mathematics and Statistics, 2025

Abstract algebra with an emphasis on applications to teaching. This class covered the following topics:

  • Groups including the major types of groups
  • Morphisms of groups
  • Operations on groups including product and quotient groups.
  • Counting with groups with Lagrange’s Theorem and Burnside’s lemma
  • Rings, fields, and vector spaces.

Abstract Algebra Lecture Notes