MATH 23AVector Calculus
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.
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.
- Enroll in lecture and associated discussion section. Sections begin Monday, 1/11.
Find a section and add it to your scheduleLive seat counts, time-conflict checks and the walk from your previous class.
When it runs
Winter 2027Open Winter 2027
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 4:00pm–5:05pm | ClassroomUnit 001 | P. Barron | Open 0/130 |
| 02 | Lecture | TBA | Online | F. Bauerle | Open 0/150 |
Fall 2026Open Fall 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | P. Barron, S. Serboi, L. Lin | Open 112/135 |
Summer 2026Open Summer 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | F. Bauerle, A. J. Tromba, L. Lin | Open 112/150 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin | Open 82/150 |
Spring 2026Open Spring 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, P. Barron, R. L. Hingtgen, L. Lin | Closed 194/150 |
| 02 | Lecture | Mon Wed Fri 10:40am–11:45am | Earth&Marine B206 | P. Barron | Open 159/210 |
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin, P. Barron, S. Serboi | Closed 232/0 |
Fall 2025Open Fall 2025
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 2:40pm–3:45pm | Humn Lecture Hall | S. Serboi | Open 156/215 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin, P. Barron | Closed 117/100 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Phillip Barron | 4.0 / 5 | 1.0 / 5 | 100% | 1 |
| Frank Bauerle | 4.0 / 5 | 3.2 / 5 | 47% | 304 |
| Suzana Serboi | 4.1 / 5 | 2.6 / 5 | 82% | 43 |
| Longzhi Lin | 1.5 / 5 | 4.2 / 5 | 7% | 26 |
| Anthony Tromba | 2.2 / 5 | 3.8 / 5 | 27% | 54 |
| Robert Hingtgen | 4.9 / 5 | 2.8 / 5 | 97% | 107 |
From RateMyProfessors, which is student-submitted and not a survey. Small review counts move a long way on one bad quarter.
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