TuTh 2:30-3:45pm 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 ntegration on manifolds. Stokes's theorem. Closed and exact forms.