MATH 209: Manifolds II
University of California, Santa Cruz
Tensor algebra. Differential forms and associated formalism of pullback, wedge product, exterior derivative, Stokes theorem, integration. Cartan's formula for Lie derivative. Cohomology via differential forms. The Poincaré lemma and the Mayer-Vietoris sequence. Theorems of deRham and Hodge.
Average GPA: 3.85
Grade distribution records: 53 students across 4 terms.
Grade distribution
| Grade | Students | Percent |
|---|---|---|
| A+ | 2 | 3.8% |
| A | 6 | 11.3% |
| A- | 1 | 1.9% |
| B+ | 2 | 3.8% |
| P | 2 | 3.8% |
| S | 40 | 75.5% |
Based on 53 student grade records across 4 terms and 3 professors.
Instructors
- Richard Montgomery 27 students, Average GPA 3.83
- Jiayin Pan 15 students, Average GPA 4.00
- Viktor Ginzburg 11 students, Average GPA 3.83