Math 425: Honors Advanced Analysis

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.