MATH 208: Manifolds I
University of California, Santa Cruz
Definition of manifolds; the tangent bundle; the inverse function theorem and the implicit function theorem; transversality; Sard's theorem and the Whitney embedding theorem; vector fields, flows, and the Lie bracket; Frobenius's theorem. MATH 204 recommended for preparation.
Average GPA: 3.76
Grade distribution records: 88 students across 6 terms.
Grade distribution
| Grade | Students | Percent |
|---|---|---|
| A+ | 6 | 6.8% |
| A | 13 | 14.8% |
| A- | 2 | 2.3% |
| B | 1 | 1.1% |
| F | 1 | 1.1% |
| S | 64 | 72.7% |
| W | 1 | 1.1% |
Based on 88 student grade records across 6 terms and 4 professors.
Instructors
- Hirotaka Tamanoi 31 students, Average GPA 4.00
- Jiayin Pan 25 students, Average GPA 3.54
- Viktor Ginzburg 17 students, Average GPA 3.85
- Kasia Jankiewicz 15 students, Average GPA 3.85