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Using partial fractions to integrate rational functions.

Differential equations for logistic growth.

Arc length calculations using integration.

Polar functions (including arc length in polar coordinates and calculating area).

Topic outline ĪP Calculus BC includes all of the topics covered in AP Calculus AB, as well as the following: It includes all topics covered in Calculus AB plus additional topics.Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus course.

Limits of functions (one and two sided)ĪP Calculus BC Part of a series of articles aboutĬalculus BC is a full-year course in the calculus of functions of a single variable.

Analysis of graphs (predicting and explaining behavior).

An AP Calculus AB course is typically equivalent to one semester of college calculus. The material includes the study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability. The two courses and the two corresponding exams are designated as Calculus AB and Calculus BC.

The AP Program includes specifications for two calculus courses and the exam for each course. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning. The Pre-Advanced Placement pathway for math helps prepare students for further Advanced Placement classes and exams.Īn AP course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities.

It is traditionally taken after precalculus and is the first calculus course offered at most schools except for possibly a regular calculus class. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including integration by parts, Taylor series, parametric equations, vector calculus, and polar coordinate functions).ĪP Calculus AB is an Advanced Placement calculus course. AP Calculus AB covers basic introductions to limits, derivatives, and integrals.

Two Advanced Placement courses and exams This article is part of a series onĪdvanced Placement ( AP) Calculus (also known as AP Calc, Calc AB / Calc BC or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board.