Understand the idea of integration over unbounded intervals and compute them
Define the notion of convergence of series and use various tests to determine series convergence
Find Taylor representations of functions and approximate functions via Taylor polynomials
Understand and use the concept of a function of several variables, draw graphs in 3-space
Use the properties of vectors and operations with vectors
Compute partial derivatives, directional derivatives and write equations of tangent planes to surfaces
Apply partial derivatives to find and test local extrema.
Evaluate double integrals in Cartesian and polar coordinates and triple integrals in Cartesian coordinates