Synopsis, credit and prerequisites
MATH 3560 is a geometric introduction to the algebraic theory of groups, through the study of symmetries of planar patterns and 3–dimensional regular polyhedra. Besides studying these algebraic and geometric objects themselves, the course also provides an introduction to abstract mathematical thinking and mathematical proofs, serving as a bridge to the more advanced 4000–level courses. Abstract concepts covered include: axioms for groups; subgroups and quotient groups; isomorphisms and homomorphisms; conjugacy; group actions, orbits, and stabilizers. These are all illustrated concretely through the visual medium of geometry.
MATH 3560 is a 4–credit course. The course catalogue states that the prerequisite is at least one of