Part of the Advanced Placement Program. Meant to simulate a first-year introductory college calculus course. It comes in two flavors: Calculus AB, and Calculus BC. Here are the curriculum outlines, taken from the College Board (www.collegeboard.org) website. See the site for a more detailed curriculum.

Calculus BC
(AB is a subset of BC. BC-only topics marked with *)

  1. Functions, Graphs, and Limits
  2. Derivatives
    • Concept of the derivative.
    • Derivative at a point.
    • Derivative as a function.
    • Second derivatives.
    • Applications of derivatives.
    • Computation of derivatives.
  3. Integrals
  4. * Polynomial Approximations and Series