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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. [1]
Download as PDF; Printable version; ... Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; ... Theorems in calculus.
Divergence theorem (vector calculus) Fermat's theorem (stationary points) (real analysis) Fraňková–Helly selection theorem (mathematical analysis) Froda's theorem (mathematical analysis) Fubini's theorem on differentiation (real analysis) Fundamental theorem of calculus ; Gauss theorem (vector calculus) Gradient theorem (vector calculus)
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Adobe Reader is now Adobe Acrobat DC. Version 15.0.0 was released on April 7, 2015, supporting iOS 8.0 and above. [46] The new features include: Easily accomplish frequent tasks from the new Tools menu; View recent files across computers and devices with Mobile Link; Use free Adobe Fill & Sign to fill, sign, and send forms on your iPad
The cut-elimination theorem (or Gentzen's Hauptsatz) is the central result establishing the significance of the sequent calculus. It was originally proved by Gerhard Gentzen in part I of his landmark 1935 paper "Investigations in Logical Deduction" [ 1 ] for the systems LJ and LK formalising intuitionistic and classical logic respectively.
An interactive proof session in CoqIDE, showing the proof script on the left and the proof state on the right. Coq is an interactive theorem prover first released in 1989. It allows for expressing mathematical assertions, mechanically checks proofs of these assertions, helps find formal proofs, and extracts a certified program from the constructive proof of its formal specification.
In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. . Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in a weak formulation (variational form) integrated with an arbitrary function