Calculus BC includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant credit. The main AP Calculus AB topics are:

Analysis of graphs

Limits of functions

Asymptotic and unbounded behavior

Continuity as a property of functions

Parametric, polar and vector functions - this is a Calculus BC specific topic

Derivatives

Derivative at a point

Derivative as a function

Second derivatives

Applications of derivatives

Computation of derivatives

Interpretations and properties of definite integrals

Applications of integrals - this is a Calculus BC specific topic

Fundamental Theorem of Calculus

Antidifferentiation

Numerical approximations of definite integrals

Series - this is a Calculus BC specific topic

Series of Constants - this is a Calculus BC specific topic

Taylor Series - this is a Calculus BC specific topic

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