Math 106b Fall 2002 Quiz Topics

Quiz 1 Sept 12

Techniques of integration: substitution, integration by parts, tables of integrals.
Numerical integration.

Quiz 2 Sept 19 Improper integrals: evaluation, comparison.
Volumes.
Quiz 3 Sept 27

Volumes of revolution. Arclength. Density problems. Work.

Quiz 4 Oct 3 Fluid force. PV and FV. Probability.
Quiz 5 Oct 25 Geometric sums and series. Tests for convergence of series - integral, comparison, ratio, AST.
Quiz 6 Oct 31 Power series - interval and radius of convergence. Taylor polynomials.
Quiz 7 Nov 7 Using Taylor series to compute limits, compute derivatives, and approximate solutions to equations. New series from old. The error in a Taylor approximation.
Quiz 8 Nov 22 Slope fields. Euler's method. Separation of variables. Writing and solving differential equations that model phenomena.