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  2. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule; Integral of the secant function ...

  3. Calculus Made Easy - Wikipedia

    en.wikipedia.org/wiki/Calculus_Made_Easy

    Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.

  4. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    [70] [71] In fact, many topics in Algebra and Geometry that Americans typically learn in high school are taught in middle school in Europe, [196] making it possible for European countries to require and to teach Calculus in high school. In France and Germany, calculus was brought into the secondary-school curriculum thanks to the advocacy of ...

  5. Jaime Escalante - Wikipedia

    en.wikipedia.org/wiki/Jaime_Escalante

    Jaime Alfonso Escalante Gutiérrez (December 31, 1930 – March 30, 2010) was a Bolivian-American educator known for teaching students calculus from 1974 to 1991 at Garfield High School in East Los Angeles. Escalante was the subject of the 1988 film Stand and Deliver, in which he is portrayed by Edward James Olmos.

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.

  7. Outline of calculus - Wikipedia

    en.wikipedia.org/wiki/Outline_of_calculus

    Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education . Calculus has widespread applications in science , economics , and engineering and can solve many problems for which algebra alone is insufficient.

  8. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    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]

  9. Precalculus - Wikipedia

    en.wikipedia.org/wiki/Precalculus

    Precalculus prepares students for calculus somewhat differently from the way that pre-algebra prepares students for algebra. While pre-algebra often has extensive coverage of basic algebraic concepts, precalculus courses might see only small amounts of calculus concepts, if at all, and often involves covering algebraic topics that might not have been given attention in earlier algebra courses.

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