Series. Review of series concepts, power series expansion
and interval of convergence, Taylor and Maclaurin
Parametric equations and polar coordinates. Parametric equations,
tangents, areas, polar coordinate system, graphs, areas.
Vectors and the geometry of space. Vectors and vector operations,
dot and cross products, equations of lines and planes, quadric surfaces,
cylindrical and spherical coordinates.
Vector functions. Vector functions and space curves, differentiation
and integration of vector functions, arc length, velocity and acceleration.
Partial derivatives. Functions of several variables,
limits and continuity, partial derivatives, tangent planes, the chain rule,
directional derivatives and the gradient vector, maximum and minimum values,
Multiple integrals. Double integrals over rectangles, iterated
integrals, double integrals over general regions, double integrals in polar
coordinates, triple integrals.
Here are some useful links.