Math 202 (Vector Calculus)

Vectors in two and three dimensions scalar , vector products - Equations of lines and planes in three dimensions - Surfaces of revolution and their equations in cylindrical and spherical coordinates. Vector-valued functions of a real variable; Curves in space; Motion; Curvature. Gradient of a multiple variable function; equations of tangent plane and normal line to a surface at a point; Directional derivatives. Vector fields; Divergence and curl of a vector field; Conservative fields and the fundamental theorem of calculus; Independence of path; Line and surface integrals. Green's theorem; Gauss' divergence theorem; Stokes' theorem.