MATH 200

This course emphasizes the calculus of vector-valued functions of several variables. Topics include: vectors in two- and three-dimensional space; dot and cross products; lines and planes in space; cylindrical and spherical co-ordinates; curves given parametrically; surfaces and curves in space, directional derivatives, the gradient, tangent vectors and tangent planes, the chain rule; the topology of Euclidean space; optimization problems for functions of several variables; vector fields; line integrals; surface integrals; the theorems of Green, Gauss, and Stokes; potential functions; and conservative fields.