Calculus on Manifolds (Math 540)

MWF 2:10-3PM (Location: Wison 2-105)


Jarek Kwapisz


Wilson 2-240

Math-Sci Phone:

(406) 994-3601

Evaluation Scheme

  1. Weekly Homework (30%)
  2. Test (30%)
  3. Final (40%)


  1. Calculus on Manifolds by Spivak.

Supplementary Texts

  1. Analysis On Manifolds Systems by Munkres
  2. An Introduction to Manifolds by Tu
  3. Tensor Analysis on Manifolds by Bishop Goldberg
  4. Differential Forms and Connections by Darling
  5. Differential Forms with Applications to the Physical Science by Flanders
  6. Vector Analysis by Janich

Other Materials

  1. Manifolds brief notes by Jenny Wilson with some nice graphics