MATH 22Introduction to Calculus of Several Variables
Functions of several variables. Continuity and partial derivatives. The chain rule, gradient and directional derivative. Maxima and minima, including Lagrange multipliers. The double and triple integral and change of variables. Surface area and volumes. Applications from biology, chemistry, earth sciences, engineering, and physics. Students cannot receive credit for this course and MATH 23A.
Prerequisite(s): MATH 11B or MATH 19B or MATH 20B or AM 15B 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 1:20pm–2:25pm | Steven Acad 150 | P. Barron | Open 0/90 |
Summer 2026Open Summer 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 2:00pm–4:15pm | Cowell Clrm 131 | Y. Lam | Open 27/50 |
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed Fri 12:00pm–1:05pm | Steven Acad 175 | D. K. Lewis | Open 76/78 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Phillip Barron | 4.0 / 5 | 1.0 / 5 | 100% | 1 |
| Yuk Shing Lam | 3.0 / 5 | 3.7 / 5 | 67% | 3 |
| Debra Lewis | 1.8 / 5 | 3.6 / 5 | 8% | 38 |
From RateMyProfessors, which is student-submitted and not a survey. Small review counts move a long way on one bad quarter.
SlugAtlas is a student project and is not affiliated with, endorsed by, or operated by UC Santa Cruz. Course data is a snapshot of the public class search; myUCSC is authoritative for enrolment.