Substitution. Areas between curves. Integration
Techniques, Improper integrals. Arc length. Volumes and surface areas of solids
of revolution. Parametric plane curves. Polar coordinates. Arc length in polar
coordinates. Sequences and infinite series. Power series. Taylor series.
Functions of several variables: limits, continuity, partial derivatives. Chain
rule. Directional derivatives. Tangent planes and linear approximations.
Extreme values. Lagrange multipliers.