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AP Precalculus. 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.
Calculus. In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus, thus the name precalculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework. [1]
t. e. Advanced Placement (AP) Statistics (also known as AP Stats) is a college-level high school statistics course offered in the United States through the College Board 's Advanced Placement program. This course is equivalent to a one semester, non- calculus -based introductory college statistics course and is normally offered to sophomores ...
Variations. Miscellanea. v. t. e. In science and especially in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding functions that optimize the values of quantities that depend on those functions. For example, the problem of determining the shape of a ...
These equations can be used only when acceleration is constant. If acceleration is not constant then the general calculus equations above must be used, found by integrating the definitions of position, velocity and acceleration (see above).
Advanced Placement. In American Advanced Placement exams, a document-based question (DBQ), also known as data-based question, is an essay or series of short-answer questions that is constructed by students using one's own knowledge combined with support from several provided sources. Usually, it is employed on timed history tests.
First-order logic —also called predicate logic, predicate calculus, quantificational logic —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables.
An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. [1]: 204–206 For example, the equation of the unit circle defines y as an implicit function of x if −1 ≤ x ≤ 1, and y is restricted to ...
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