Text: Analysis on Manifolds by James Munkres (paper)
Chapter 1. Omit. Chapter 2. Differentiation (6 hours) Chapter 3. Integration (6 hours) Chapter 4. Change of variables (6 hours) Chapter 5. Manifolds. (6 hours) Chapter 6. Differential forms (8 hours) Chapter 7. Stokes's Theorem (5 hours)
Leeway and Exams (7 hours) total of 44 hours.
Chapter 8 has two nice sections; one or both of these might be covered in a strong class.
College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign
Last modified December 11, 2007