P: S312 or consent of instructor. Differentiable transformations
defined on Euclidean space, inverse and implicit function theorems.
Lebesgue integration over Euclidean space and transformation of
integrals. Exterior algebra, measure and integration on manifolds.
Stokes's theorem. Closed and exact forms.

SPECIAL COURSE FOR STUDENTS WITH SUPERIOR ABILITY
ABOVE CLASS MEETS WITH MATH-M 413