This is an introduction to differential and Riemannian manifolds. Topics covered include the inverse function theorem, differential forms, Poincare Lemma, integration, Stokes theorem, deRham's Theorem.
Prerequisites
Real analysis, and basic topology.
Textbooks
An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised, by William M. Boothby, Academic Press, 2002.
Grading
The grade is based on class participation, homework assignments, and possibly one or two take home exams.