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.
25 terms
Other grades
University of California, Santa Cruz
MATH 23A at UCSC: average GPA 3.24 across 7,712 students. Grade distribution by term. Vectors in n-dimensional Euclidean space. The inner and cross products…
Average GPA: 3.24
Grade distribution records: 7,712 students across 25 terms.
Prerequisite(s): MATH 19B or MATH 20B or qualifying AP exam. See the UCSC Exam Equivalency Chart in the Undergraduate Academic Program section of the catalog for details.
2026–2027 · UCSC catalog
| 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.
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