AP Calculus BC

Explore the concepts, methods, and applications of differential and integral calculus, including topics such as parametric, polar, and vector functions, and series. You’ll perform experiments and investigations and solve problems by applying your knowledge and skills.


Determining expressions and values using mathematical procedures and rules

Using correct notation, language, and mathematical conventions to communicate results or solutions

Connecting representations

Justifying reasoning and solutions

Equivalency and Prerequisites

College Course Equivalent
A first-semester college calculus course and the subsequent single-variable calculus course

Recommended Prerequisites

You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions. In particular, you should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions, as well as sequences, series, and polar equations. You should know how to graph these functions and solve equations involving them. You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.