MA 428 - Analysis: Calculus on Manifolds

Min Units: 3
Max Units: 3
This course provides students with an opportunity to explore proof-based mathematical analysis with several real variables with two goals in mind: to provide mathematical rigor to the calculus of several real variables and to generalize the context of the calculus to manifolds. Topics will include the topology of higher dimensional spaces, Stokes’ Theorem, the Divergence Theorem, the Implicit Function Theorem, differential forms, integration of forms, and the exterior derivative. (U) Occasionally
Prerequisite(s): MA 200, MA 208, and MA 310