Inverse function theorem and manifolds, integration in several variables, the change of variables theorem. Differential forms, line integrals, surface integrals, and Stokes's Theorem; applications to physics. Eigenvalues, eigenvectors, spectral theorem, and applications.
Multivariable Mathematics II
MATH 3500 or MATH 3500H
Not open to students with credit in MATH 2270 or MATH 2500 or MATH 3510H