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.
Enrollment Requirements
Prerequisite(s): MATH 23A. Prerequisite waived for non-UCSC students.
Class Notes
After enrolling in 23A in Session 1, contact summer@ucsc.edu for an add code for 23B in Session 2.
Visiting students - prerequisites are lifted in summer. It is in your best interest to have passed equivalent prerequisite courses.