18.101 - Analysis and Manifolds (Fall 2013)


Instructor: Victor Guillemin

Office: Room E18-326

Email: vwg [at] math . mit . edu

Lectures: MWF 11-12 Room 2-136

Office Hours: MWF 2-3pm

Grader: Francesco Lin

Email: linf [at] math . mit . edu



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.

Textbooks: Munkres, "Analysis on Manifolds" and Spivak, "Calculus on Manifolds".



ADDITIONAL MATERIALS

Notes for part 2 (pdf)