Class Detail

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 AP calculus BC exam score of 4 or 5.

Enrollment in the associated discussion section is mandatory. If you completed the prerequisites but get an error message: UCSC Students - Email your proof of prerequisite material to the department at mathadvising@ucsc.edu for approval to enroll.
Newly Admitted UCSC Students - See the next steps at https://summer.ucsc.edu/summer-edge/choosing-courses/summer-math.html.
Visiting Students - Prerequisite review is waived in the summer. It is in your best interest to take equivalent prerequisite courses.
If you are taking the prerequisite in Session 1, email summer@ucsc.edu for a permission number to enroll.

Days & Times	Room	Instructor	Meeting Dates
MWF 05:00PM-07:15PM	Cowell Clrm 131	Staff	07/28/25 - 08/29/25