- Theorems about differentiation - e.g. Inverse Function Theorem
- smooth manifolds, tangent spaces, vector fields
- exterior algebra and differential forms
- Stokes' theorem on manifolds
- perhaps a bit about de Rham cohomology

Sometimes I will supplement the text with my own notes.

assigned each Tuesday and collected the following Tuesday.

Click here for the assignments.

HW: 35 %

Midterm: 25 %

Final: 40 %

Both exams will be take-home exams.