This is an intensive one-semester course covering both differential and integral multi-variable calculus. Topics include: parametric curves, 3D vectors and surfaces, partial derivatives, double and triple integrals, cylindrical and spherical coordinates, vector fields, line integrals, curl and divergence, surface integrals, Green's theorem, and Stokes theorem. This course is best supplemented by concurrent coursework in second or third year college physics, because it is fast paced and therefore will not delve deep into applications.