AP Calculus BC
Advanced Placement Calculus (also known as AP Calculus, AP Calc AB / AP Calc BC, or AP Calc) is one of two distinct Advanced Placement courses and examinations offered by College Board in calculus: AP Calculus AB (as an introduction to derivatives, limits and integral calculus), or AP Calculus BC (with more techniques, for Taylor series, parametric equations, integration by parts, polar coordinate functions, and curve interpolations).
AP Calculus AB is an Advanced Placement calculus course taken by high school students. The course is traditionally taken after precalculus and is the first calculus course offered at most schools except for the regular calculus class. The Pre-Advanced Placement pathway for math will help prepare students for further Advanced Placement classes and exams.
According to the College Board:
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. 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 AP Program includes specifications for two calculus courses and the exam for each course. The two courses and the two corresponding exams are designated as Calculus AB and Calculus BC. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability.
The material includes the study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity. An AP Calculus AB course is typically equivalent to one semester of college calculus. More specifically, the topics are
According to the College Board,
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