Calculus of functions of two and three variables: Parametric curves, derivatives, gradient, Lagrange multipliers. Multiple integration, area, volume, polar, cylindrical, and spherical coordinates. Line integrals and Green's Theorem. Introduction to surface integrals and Stokes's and Divergence Theorems. This is an accelerated version of Calculus III for Science and Engineering that covers fewer topics and applications.

Calculus of functions of two and three variables: Parametric curves, derivatives, gradient, Lagrange multipliers. Multiple integration, area, volume, polar, cylindrical, and spherical coordinates. Line integrals and Green's Theorem. Introduction to surface integrals and Stokes' and Divergence Theorems. This is an accelerated version of Calculus III for Science and Engineering that covers fewer topics and applications.