MATH 19BCalculus for Science, Engineering, and Mathematics
The definite integral and the fundamental theorem of calculus. Areas, volumes. Integration by parts, trigonometric substitution, and partial fractions methods. Improper integrals. Sequences, series, absolute convergence and convergence tests. Power series, Taylor and Maclaurin series. Students cannot receive credit for both this course and MATH 11B, or AM 11B, or AM 15B, or ECON 11B.
Prerequisite(s): MATH 11A or MATH 19A or MATH 20A or qualifying 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 1:20pm–2:25pm | Earth&Marine B206 | Staff | Open 0/250 |
| 02 | Lecture | Mon Wed Fri 2:40pm–3:45pm | Humn Lecture Hall | R. L. Hingtgen | Open 0/250 |
| 03 | Lecture | TBA | Online | F. Bauerle | Open 0/480 |
Fall 2026Open Fall 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 1:20pm–2:25pm | Media Theater M110 | H. Tamanoi | Wait List 108/108 |
| 02 | Lecture | TBA | Online | L. Lin, S. Serboi, P. Barron | Open 89/120 |
Summer 2026Open Summer 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | TBA | Online | L. Lin, F. Bauerle, A. J. Tromba | Open 121/150 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin | Open 144/150 |
Spring 2026Open Spring 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 10:40am–11:45am | Kresge Acad 3201 | N. Monteiro | Open 127/150 |
| 02 | Lecture | TBA | Online | F. Bauerle, P. Barron, A. J. Tromba, R. L. Hingtgen, L. Lin | Closed 154/125 |
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 1:20pm–2:25pm | Humn Lecture Hall | J. Simons | Open 222/225 |
| 02 | Lecture | Mon Wed Fri 2:40pm–3:45pm | Earth&Marine B206 | H. Tamanoi | Open 146/225 |
| 03 | Lecture | TBA | Online | F. Bauerle, P. Barron, L. Lin, A. J. Tromba, S. Serboi | Closed 304/0 |
Fall 2025Open Fall 2025
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 8:00am–9:05am | Humn Lecture Hall | J. Pan | Open 237/240 |
| 02 | Lecture | TBA | Online | A. J. Tromba, F. Bauerle, L. Lin, P. Barron | Closed 220/200 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Robert Hingtgen | 4.9 / 5 | 2.8 / 5 | 97% | 107 |
| Frank Bauerle | 4.0 / 5 | 3.2 / 5 | 47% | 304 |
| Hirotaka Tamanoi | 2.4 / 5 | 3.9 / 5 | 28% | 107 |
| Longzhi Lin | 1.5 / 5 | 4.2 / 5 | 7% | 26 |
| Suzana Serboi | 4.1 / 5 | 2.6 / 5 | 82% | 43 |
| Phillip Barron | 4.0 / 5 | 1.0 / 5 | 100% | 1 |
| Anthony Tromba | 2.2 / 5 | 3.8 / 5 | 27% | 54 |
| Nariel Monteiro | 5.0 / 5 | 1.0 / 5 | 100% | 1 |
| Julie Simons | 2.8 / 5 | 3.7 / 5 | 49% | 52 |
| Jiayin Pan | 1.8 / 5 | 4.3 / 5 | 22% | 40 |
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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