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".
RECENT UPDATE
[09.09.2010] Welcome to the Fall semester!
[10.01.2010] The date of the midterm is October 15. Daily homework up to October 1 has been posted.
[10.22.2010] Course notes for the second part of the class: PDF
[12.06.2010] Daily homework up to December 6 has been posted.
