AP Calculus

The AP Calculus course is normally taken in America, but many secondary schools outside the United States offer authorized AP courses. AB and BC are each equivalent to one semester of college calculus courses (Calculus I and Calculus II respectively). As such, the main prerequisite for both AB and BC Calculus is Pre-Calculus.
AB Calculus is the first part of a Calculus course. BC Calculus, which includes everything in AB Calculus, plus seven extra topics, is a tougher, second part. Many students do AB Calculus followed by BC Calculus, but it is also possible to do only one of these units individually. You'll actually get an AB Calculus sub-score when you take the BC exam.

The topic list for AB Calculus is:

• Limits and Continuity

• Differentiation: Definition and Fundamental Properties

• Differentiation: Composite, Implicit, and Inverse Functions

• Contextual Applications of Differentiation

• Analytical Applications of Differentiation

• Integration and Accumulation of Change

• Differential Equations

• Applications of Integration

BC Calculus additional Topics:

• Partial Fractions

• Parametric Equations

• Integration by parts

• Logistic Equation

• Polar Coordinates

• Vector-Valued Functions (motion in a plane)

• Infinite Sequences and Series

AP Calculus AB and BC past papers are available including full papers, multiple choice and free response questions from 1969 onwards.