This course covers differential, integral and vector calculus for functions of more than one variable, including the following topics: vector-valued functions; parameterized curves and surfaces; vector fields; partial derivatives and gradients; optimization; method of Lagrange multipliers; integration over regions in R2 and R3; integration over curves and surfaces; Green's theorem, Stoke's theorem, Divergence theorem. These topics and methods are used extensively in the physical sciences, engineering, economics and computer graphics. All topics identified in a typical university multivariable calculus course will be addressed. There is no AP exam associated with this course. This is a demanding course designed for motivated students who have taken AP Calculus BC or AB and gotten a 3 or higher on their AP exam or with teacher recommendation.