MATH 210: Manifolds III
University of California, Santa Cruz
The fundamental group, covering space theory and van Kampen's theorem (with a discussion of free and amalgamated products of groups), CW complexes, higher homotopy groups, cellular and singular cohomology, the Eilenberg-Steenrod axioms, computational tools including Mayer-Vietoris, cup products, Poincaré duality, the Lefschetz fixed point theorem, the exact homotopy sequence of a fibration and the Hurewicz isomorphism theorem, and remarks on characteristic classes.
Average GPA: 3.81
Grade distribution records: 42 students across 3 terms.
Grade distribution
| Grade | Students | Percent |
|---|---|---|
| A | 4 | 9.5% |
| A- | 2 | 4.8% |
| B+ | 1 | 2.4% |
| P | 1 | 2.4% |
| S | 33 | 78.6% |
| U | 1 | 2.4% |
Based on 42 student grade records across 3 terms and 2 professors.
Instructors
- Beren Sanders 26 students, Average GPA 3.75
- Jiayin Pan 16 students, Average GPA 3.90