Instructor: Victor Guillemin
Office: Room 2-270
Email: vwg [at] math . mit . edu
Office Hours: MWF 2-3pm
Lectures: MWF 11-12 Room 2-143
COURSE DESCRIPTION
Introduction to the theory of manifolds: vector fields and densities on manifolds, integral calculus in the manifold setting and the manifold version of the divergence theorem.
Prerequisites: 18.100; 18.06, 18.700, or 18.701. 18.901 helpful but not required.
Text Books: Munkres, "Analysis on Manifolds" and Spivak, "Calculus on Manifolds".