- Course Description -

This course is a graduate-level introduction to smooth manifolds and calculus on manifolds. This course is primarily aimed at preparing PhD students in mathematics for the screening exams and for math research.

Topics will include vector bundles, special maps and sub-manifolds, tensors, differential forms and de Rham theory.

We will assume a background in undergraduate real analysis, point-set topology and basic abstract algebra.

- Course Info -

- Homework Schedule -

- Lecture Schedule and Readings -