MAT-213: Calculus III

Covers visualization of functions of two variables, contour graphs, vector geometry, partial derivatives, gradient vector, directional derivatives, constrained optimization, double integral in rectangular and polar coordinates, triple integrals in rectangular, cylindrical and spherical coordinates, analysis of parametric curves and surfaces, vector fields, line integrals and their applications, the Fundamental Theorem of Line Integrals, Green's Theorem, flux integrals, divergence and curl, Stokes' Theorum and the Divergence Theorem. Applications are considered throughout the course. A computer algebra system is used to explore topics covered. Prerequisite: Calculus II or placement into MAT-213. [4 credits]