**MATH W 4081y Introduction to Differentiable Manifolds**

Concept of a differentiable manifold. Tangent spaces and vector fields. The
inverse function theorem. Transversality and Sard's theorem. Intersection
theory. Orientations. Poincare-Hopf theorem. Differential forms and Stoke's
theorem. - O. Savin

*Prerequisites: MATH W4051 or MATH W4061 and MATH V2010.*