Class Detail

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.

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-classes/summer-math/
Visiting Students - Prerequisite review is waived in the summer. It is in your best interest to take equivalent prerequisite courses.
If this class is a prerequisite for a Session 2 course you want to take, email summer@ucsc.edu for a permission number anytime after you enroll.
From the Instructor: Optional discussion sections with the TAs are TBA. They will be held via Zoom.

Days & Times	Room	Instructor	Meeting Dates
	Online	Staff	06/23/25 - 07/25/25