This course is the third and final part of our standard three-semester calculus sequence. The distinct feature of this part of the course is that its focus is on multi-dimensional analysis. Topics include: Polar coordinates, polar curves, area in polar coordinates, vectors, lines, planes and surfaces, cylindrical and spherical coordinates, functions of two and three variables, limits and continuity, partial derivatives, directional derivatives, extreme values of functions of two variables, double integrals, double integrals in polar coordinates, triple integrals, and triple integrals in cylindrical and spherical coordinates