MATH 23A: Vector Calculus
University of California, Santa Cruz
Vectors in n-dimensional Euclidean space. The inner and cross products. The derivative of functions from n-dimensional to m-dimensional Euclidean space is studied as a linear transformation having matrix representation. Paths in 3-dimensions, arc length, vector differential calculus, Taylor's theorem in several variables, extrema of real-valued functions, constrained extrema and Lagrange multipliers, the implicit function theorem, some applications. Students cannot receive credit for this course and MATH 22.
Average GPA: 3.24
Grade distribution records: 7,712 students across 25 terms.
Grade distribution
| Grade | Students | Percent |
|---|---|---|
| A+ | 773 | 10.0% |
| A | 2,091 | 27.1% |
| A- | 1,128 | 14.6% |
| B+ | 745 | 9.7% |
| B | 932 | 12.1% |
| B- | 467 | 6.1% |
| C+ | 310 | 4.0% |
| C | 447 | 5.8% |
| C- | 28 | 0.4% |
| D+ | 14 | 0.2% |
| D | 348 | 4.5% |
| D- | 5 | 0.1% |
| F | 171 | 2.2% |
| P | 77 | 1.0% |
| NP | 75 | 1.0% |
| S | 2 | 0.0% |
| U | 1 | 0.0% |
| W | 96 | 1.2% |
Based on 7,712 student grade records across 25 terms and 10 professors.
Instructors
- Anthony J Tromba 5,338 students, Average GPA 3.17
- Longzhi Lin 2,613 students, Average GPA 3.13
- Frank Bauerle 1,602 students, Average GPA 3.28
- Edward T Migliore 967 students, Average GPA 3.45
- Suzana Serboi 774 students, Average GPA 3.03
- Robert Leo Hingtgen 697 students, Average GPA 3.49
- Pedro Morales 343 students, Average GPA 3.55
- Philip Barron 255 students, Average GPA 3.35
- Viktor Ginzburg 238 students, Average GPA 3.19
- Mark Richard Eastman 211 students, Average GPA 2.79