A study of functions of several variables in the areas of analytic geometry in primarily three dimensional coordinate systems (Cartesian, cylindrical, spherical) including vector properties, vector representation of functions and surfaces, the calculus of functions of several variables, and the calculus of vectors. This study includes vector dot and cross product applications, vector and non-vector representation of curves and surfaces in three dimensions, derivatives and integrals of vector functions, applications of vector functions in arc length/ curvature/velocity/acceleration, limits and continuity in functions of several variables, partial derivatives, tangent planes, chain rule, directional derivatives, gradients, optimizations, Lagrange multipliers, multiple integrals, applications of multiple integrals including surface area/volume/center of mass, change of variables in multiple integration, line integrals, curl, divergence, Green's Theorem, surface integrals, Stoke's Theorem, and the Divergence Theorem.

**Credit hours:** 3

Last updated:
05/23/2022