Applies calculus to situations described by more than one variable. Includes vectors, multivariable equations and functions, parameterization of curves and surfaces, partial derivatives, directional derivatives, the gradient, optimization methods, integration over curves and surfaces using Cartesian, polar, cylindrical, and spherical coordinates, vector fields, and Green's, Stokes's, and the Divergence Theorems. Prerequisite: grade of C or better in MATH 2205 or Advanced Placement credit in MATH 2205.