MATH 223-01, Calculus III, Fall 2004

Abstract

In Calculus III, we deal with vectors and geometry in two-, three-, and higher-dimensional spaces, generalizations of the derivative and integral to scalar- and vector-valued functions of several variables, and applications of these concepts. The material to be covered includes vectors, lines, planes, surfaces in three dimensional space, real-valued functions of several variables, partial and total derivatives, optimization, multiple integrals, vector-valued functions and calculus of vector fields, and—as time permits—generalizations of the fundamental theorem of calculus.