![]() ![]() ![]() 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 more advanced integration techniques such as integration by parts, Taylor series, parametric equations, vector calculus, polar coordinate functions, and curve interpolations).ĪP Calculus AB is an Advanced Placement calculus course. AP Calculus AB covers basic introductions to limits, derivatives, and integrals. A fourth big topic, series, is part of the AP Calculus BC curriculum.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.Students must also be able to understand definite integrals that involve a Riemann sum, approximate definite integrals using various methods, and use geometry to compute definite integrals. The Fundamental Theorem of Calculus, as the name suggests, is central to the study of calculus, and students must understand the relationship between integration and differentiation. Integrals and the Fundamental Theorem of Calculus.This section covers some real-world applications such as growth and decay models. Students learn about different types of derivatives, methods for estimating derivatives from tables and graphs, and methods for solving certain types of differential equations. Derivatives are used to describe how one variable changes in relation to another variable. Students learn to express limits symbolically and interpret limits that are expressed symbolically. Coverage includes one-sided limits, limits at infinity, limits and sequences, intervals of continuity, and points of discontinuity. The concept of limits is at the heart of calculus, and students need to learn to compute limits. ![]()
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