AP Calculus AB/BC

AP Calculus AB: An AP course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. The topics of study include: analysis of graphs, limits of functions, asymptotic and unbounded behavior, continuity, derivatives, and integrals. 

AP Calculus BC: Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. AP Calculus BC includes all of the topics covered in AP Calculus AB, as well as convergence tests for series, Taylor and/or Maclaurin series, the use of parametric equations, polar functions, including arc length in polar coordinates, calculating curve length in parametric and function (y = f(x)) equations, L'Hôpital's rule, integration by parts, improper integrals, Euler's method, differential equations for logistic growth, and using partial fractions to integrate rational functions. Students in AP Calculus BC generally receive two semesters of Advanced Placement in mathematics.