Topics include Euclidean space, tangent vectors, directional derivatives, curves and differential forms in space, mappings. Curves, the Frenet formulas, covariant derivatives, frame fields, the structural equations. The classification of space curves up to rigid motions. Vector fields and differentiable forms on surfaces; the shape operator. Gaussian and mean curvature. The theorem Egregium; global classification of surfaces in three space by curvature.
5 terms
Other grades
University of California, Santa Cruz
MATH 121A at UCSC: average GPA 2.67 across 83 students. Grade distribution by term. Topics include Euclidean space, tangent vectors, directional derivatives…
Average GPA: 2.67
Grade distribution records: 83 students across 5 terms.
| Grade | Students | Percent |
|---|---|---|
| A+ | 7 | 8.4% |
| A | 16 | 19.3% |
| A- | 6 | 7.2% |
| B+ | 2 | 2.4% |
| B | 7 | 8.4% |
| C+ | 2 | 2.4% |
| C | 4 | 4.8% |
| D+ | 1 | 1.2% |
| D | 1 | 1.2% |
| D- | 1 | 1.2% |
| F | 12 | 14.5% |
| P | 12 | 14.5% |
| NP | 4 | 4.8% |
| S | 1 | 1.2% |
| W | 7 | 8.4% |
Based on 83 student grade records across 5 terms and 5 professors.
The course page is taking longer to load. This summary is still available.
We could not load the full course details. This summary is still available.
Still loading. This can take a moment on a slow connection.
Loading My Class Grades