4 hours of lecture/discussion per week. Topics include vectors three dimensions, analytic geometry of three dimensions, parametric curves, partial derivatives, the gradient, optimization in several variables, multiple integration with change of variables across different coordinate systems, line integrals, and Green's Theorem. Fall and Spring.Prerequisites: Completion of Differential and Integral Calculus with at least a C-; APM206 / MAT296, or the equivalentNote: Credit cannot be given for both APM307 and MAT397.