Calculus III

Catalog description

A standard third course in calculus. Topics include vectors and analytical geometry in three dimensions; vector-valued functions and curvature; components of acceleration; functions of several variables; limits and continuity in three-space; partial and directional derivatives; gradients, tangent planes, and extrema of functions of two variables; multiple integrals in rectangular, polar, spherical, and cylindrical coordinates; applications of multiple integrals to area, volume, moments, centroids, and surface area; line and surface integrals of functions and vector fields; Green's, Stoke's, and the Divergence Theorems. Calculus III: Honors - Please contact the Honors Program at www.austincc.edu/honors for additional information.