MATH 7432 - Differential Geometry of Manifolds (3 Credit Hours)

Lecture Hours: 3 Lab Hours: 0
The study and applications of calculus on manifolds. Topics include: atlases, tangent spaces, differentiable maps; immersions and submanifolds, submersions and quotient manifolds; matrix groups and their Lie algebras; vector fields and flows; differential forms, exterior derivative, and Lie derivative.

Prerequisite(s): A minimum grade of “C” in MATH 3230 and MATH 5335.
Restriction(s): NO Undergraduate Level Students