18.101 - Analysis and Manifolds (Fall 2019)

Instructor: Kyeongsu Choi (choiks [at] mit.edu)

Lectures: TR 1:00-2:30 pm (Room 2-143)

Choi's OH: M 10:00-11:00 am, R 2:30-3:30 pm (Room 2-165)

TA: Feng Gui (fenggui [at] mit.edu)

Gui's OH: 1:00-2:00 pm on 9/16, 9/30, 10/16, 11/4, 11/18, 12/2 (Room 2-340C)

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: (18.06, 18.700, or 18.701) and (18.100A, 18.100B, 18.100P, or 18.100Q). 18.901 is helpful but not required

Text Book: Munkres, "Analysis on Manifolds" and Spivak, "Calculus on Manifolds".

RECENT UPDATE

[11.13.2019] Another instructor will deliver lecture on 11/14.

[11.13.2019] Choi's OH on 11/14 will be cancelled.

[10.12.2019] Choi & Gui's office hours on 14th are changed to 16th due to holidays. Pset 3 use is also changed to 17th.

[08.29.2019]  Welcome to the fall semester!