18.101 - Analysis And Manifolds (Fall 2017)

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".

ADDITIONAL MATERIALS

Course Notes (pdf)