What comes after calculus? Math, as it turns out, largely branches off into two general approaches: Analysis, studying the smooth and continuous (like calculus), and Algebra, studying structure and symmetry. The broader field of Algebra is quite different from the Algebra I & II you might have taken in school-- Algebraists unfortunately don't spend their lives studying y=mx+b. Group theory studies symmetry, and is one of the first areas of Abstract Algebra students encounter, and it's like starting math from the beginning again. This course will focus on the visual intuitions of group theory and build toward using rigorous mathematical argument to prove theorems about groups.