1.Sequences, series
2.Strategy for testing series, power series, representations of functions as power series
3.Taylor and Maclaurin series, applications of Taylor polynomials
4.Vector functions and space curves, derivatives and integrals of vector functions
5.Functions of several variables
6.The chain rule, directional derivatives and the gradient vector
7.Maximum and minimum values, Lagrange multipliers
8.Double integrals over rectangles, iterated integrals, double integrals over general regions
9.Double integrals in polar coordinates, applications of double integrals
10.Integration in Vector Fields