Course MAT350

Fundamentals of multivariable analysis and calculus on manifolds

Topics to be covered include: differentiation and integration in multiple dimensions; smooth manifolds; vector fields and differential forms; Stokes' theorem; de Rham cohomology; Frobenius' theorem on integrability of plane fields. This course will serve as a preparation for advanced courses in differential geometry and topology.

Placement and Prerequisites

MAT 215/217, or MAT 203/204 and permission of the instructor.