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Advanced Placement (AP) Calculus (also known as AP Calc, Calc AB / BC, AB / BC Calc or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board. AP Calculus AB covers basic introductions to limits, derivatives, and integrals.
The AP World History exam was first administered in 2002. The test underwent a major overhaul for the 2017 exam; however, due to the prodigious number of students that struggled with the free response section, the College Board decided to initiate yet another round of sweeping reform, to be put in effect in May 2018.
Advanced Placement (AP) Precalculus (also known as AP Precalc) is an Advanced Placement precalculus course and examination, offered by the College Board, in development since 2021 [1] and announced in May 2022. [2] The course debuted in the fall of 2023, with the first exam session taking place in May 2024.
This was changed in an announcement made by College Board in the February 2024 regarding changes to their AP Physics courses for the 2024–25 school year onward, which explained that the multiple choice sections would have 40 questions and the free response sections would have 4 questions. To compensate, College Board allotted 80 minutes for ...
In Cartesian coordinates, the divergence of a continuously differentiable vector field = + + is the scalar-valued function: = = (, , ) (, , ) = + +.. As the name implies, the divergence is a (local) measure of the degree to which vectors in the field diverge.
Development of a formulation of arc length suitable for applications to mathematics and the sciences is a focus of calculus. In the most basic formulation of arc length for a parametric curve (thought of as the trajectory of a particle), the arc length is obtained by integrating the speed of the particle over the path.
The case study also gives all students taking the AP Computer Science exams with a common experience from which to draw additional test questions. On each of the exams, at least one free-response question was derived from the case study. There were also five multiple-choice questions that are derived from the case study.
It can be used to reduce fractions to their simplest form, and is a part of many other number-theoretic and cryptographic calculations. The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number.