MATH 23BVector Calculus
Double integral, changing the order of integration. Triple integrals, maps of the plane, change of variables theorem, improper double integrals. Path integrals, line integrals, parametrized surfaces, area of a surface, surface integrals. Green's theorem, Stokes' theorem, conservative fields, Gauss' theorem. Applications to physics and differential equations, differential forms.
Prerequisite(s): MATH 23A.
- Online sections are available for all students and these will begin Monday, 1/11 for Winter 2027. Attendance of at least five sections of your choice during the quarter is required but formal enrollment is not. Attendance will be taken by TA's and further details will be explained in the course syllabus.
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 | TBA | Online | P. Barron | Open 0/120 |
Fall 2026Open Fall 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 1:20pm–2:25pm | PhysSciences 110 | P. Barron | Wait List 25/25 |
| 02 | Lecture | TBA | Online | S. Serboi, P. Barron, L. Lin | Open 49/60 |
Summer 2026Open Summer 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | L. Lin, F. Bauerle, A. J. Tromba | Open 69/150 |
| 02 | Lecture | TBA | Online | L. Lin, F. Bauerle, A. J. Tromba | Open 68/150 |
Spring 2026Open Spring 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, R. L. Hingtgen, P. Barron, L. Lin | Closed 67/50 |
| 02 | Lecture | Mon Wed Fri 9:20am–10:25am | ClassroomUnit 001 | R. L. Hingtgen | Open 79/80 |
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | L. Lin, F. Bauerle, A. J. Tromba, S. Serboi, P. Barron | Closed 102/0 |
Fall 2025Open Fall 2025
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 2:40pm–3:45pm | Porter Acad 144 | J. Suh | Open 43/60 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin, P. Barron | Closed 61/50 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Phillip Barron | 4.0 / 5 | 1.0 / 5 | 100% | 1 |
| Suzana Serboi | 4.1 / 5 | 2.6 / 5 | 82% | 43 |
| Longzhi Lin | 1.5 / 5 | 4.2 / 5 | 7% | 26 |
| Frank Bauerle | 4.0 / 5 | 3.2 / 5 | 47% | 304 |
| Anthony Tromba | 2.2 / 5 | 3.8 / 5 | 27% | 54 |
| Robert Hingtgen | 4.9 / 5 | 2.8 / 5 | 97% | 107 |
| Junecue Suh | 3.4 / 5 | 4.1 / 5 | 60% | 66 |
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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