MATH 345 - Calculus on Manifolds

Credits: 3
Planned Offering: Winter 2015 and alternate years

Prerequisites: MATH 221 and 222. This course builds on material from both multivariable calculus and linear algebra. Topics covered include: manifolds, derivatives as linear transformations, tangent spaces, inverse and implicit function theorems, integration on manifolds, differential forms, and the generalized Stokes’s Theorem. Denne.