MATH 19ACalculus for Science, Engineering, and Mathematics
The limit of a function, calculating limits, continuity, tangents, velocities, and other instantaneous rates of change. Derivatives, the chain rule, implicit differentiation, higher derivatives. Exponential functions, inverse functions, and their derivatives. The mean value theorem, monotonic functions, concavity, and points of inflection. Applied maximum and minimum problems. Students cannot receive credit for both this course and MATH 11A, or AM 11A, or AM 15A, or ECON 11A..
Prerequisite(s): MATH 3; or mathematics placement (MP) score of 400 or higher; 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 | J Bask Aud 101 | Staff | Open 0/200 |
| 02 | Lecture | TBA | Online | A. J. Tromba | Open 0/150 |
Fall 2026Open Fall 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 9:20am–10:25am | ClassroomUnit 002 | J. Pan | Open 40/85 |
| 02 | Lecture | Mon Wed Fri 1:20pm–2:25pm | Humn Lecture Hall | Y. Katznelson | Open 79/85 |
| 03 | Lecture | TBA | Online | S. Serboi, L. Lin, P. Barron | Open 56/170 |
Summer 2026Open Summer 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | F. Bauerle, A. J. Tromba, L. Lin | Open 98/150 |
| 02 | Lecture | TBA | Online | F. Bauerle, A. J. Tromba, L. Lin | Open 40/150 |
Spring 2026Open Spring 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 9:20am–10:25am | Steven Acad 150 | H. Tamanoi | Open 58/120 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, R. L. Hingtgen, P. Barron, L. Lin | Closed 174/150 |
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 2:40pm–3:45pm | Thim Lecture 003 | R. Boltje | Open 200/210 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, S. Serboi, L. Lin, P. Barron | Closed 128/0 |
Fall 2025Open Fall 2025
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 1:20pm–2:25pm | Earth&Marine B206 | A. Chattopadhyay | Open 224/225 |
| 02 | Lecture | Mon Wed Fri 12:00pm–1:05pm | Thim Lecture 003 | B. Sanders | Open 222/224 |
| 03 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin, P. Barron | Closed 232/200 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Anthony Tromba | 2.2 / 5 | 3.8 / 5 | 27% | 54 |
| Jiayin Pan | 1.8 / 5 | 4.3 / 5 | 22% | 40 |
| Yonatan Katznelson | 2.7 / 5 | 3.7 / 5 | 46% | 595 |
| Suzana Serboi | 4.1 / 5 | 2.6 / 5 | 82% | 43 |
| Longzhi Lin | 1.5 / 5 | 4.2 / 5 | 7% | 26 |
| Phillip Barron | 4.0 / 5 | 1.0 / 5 | 100% | 1 |
| Frank Bauerle | 4.0 / 5 | 3.2 / 5 | 47% | 304 |
| Hirotaka Tamanoi | 2.4 / 5 | 3.9 / 5 | 28% | 107 |
| Robert Hingtgen | 4.9 / 5 | 2.8 / 5 | 97% | 107 |
| Robert Boltje | 2.4 / 5 | 4.1 / 5 | 18% | 56 |
| Ashesh Chattopadhyay | 3.3 / 5 | 2.8 / 5 | 70% | 33 |
| Beren Sanders | 4.1 / 5 | 3.5 / 5 | 78% | 78 |
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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