MTH 216 - Calculus III

Topics include: Three-dimensional coordinates systems, vectors, dot product, cross product, lines and planes in space, vector valued functions, modeling motion, TNB frame, curvature, multivariable functions, limits and continuity, partial derivatives, chain rule, gradient vectors, tangent planes, extreme values, Lagrange multipliers, double and triple integrals in rectangular, polar, cylindrical, and spherical coordinates, substitution of multiple integrals, line integrals, vector fields, work, circulation, flux, potential functions, conservative fields, Green’s Theorem, surface Area and surface integral, parametrized surfaces, Stokes’ Theorem, and The Divergence Theorem. This is a continuation of MTH 215.
Prerequisite(s): MTH 215
4 credits = 4 lecture