The algebra you’re familiar with from high school is primarily concerned with equations over standard number systems, particularly the real numbers. Abstract algebra generalizes those ideas, focusing on the structure and properties of abstract algebraic structures, the most important of those being groups, rings, and fields. In this course, we'll focus on group theory, which offers us concrete tools for thinking about and working with symmetry; group theory is useful throughout mathematics and has fundamental applications in computer science and physics. We'll also develop skills in constructing successful mathematical arguments.
Class meetings (Tue/Thu 3-5pm) will consist of lectures and collaborative workshops. There will be weekly homework assignments along with midterm and final exams.
Anticipated Credit Equivalencies:
4* - Abstract Algebra I
Registration
Students must display mathematical maturity and readiness for work beyond the introductory level, which can be demonstrated by proficiency in courses in calculus or discrete mathematics.
Academic Details
mathematics, computer science, physics, and math education
Upper division science credit available for students who successfully meet course requirements.