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.

Calculus of functions of two and three variables. Topics include parametric curves, partial derivatives, gradient vectors, multivariable optimization, multiple integration in various coordinate systems, line and surface integrals, and multivariable versions of the Fundamental Theorem of Calculus. This accelerated course emphasizes core concepts with less depth than Calculus III for Science and Mathematics.