MWF 10:10-11:00am WY 015 Meets with MATH-M 414 Honors Course in Analysis II (3 cr.) P: S413 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.