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  2. AP Calculus - Wikipedia

    en.wikipedia.org/wiki/AP_Calculus

    AP Calculus AB covers basic introductions to limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including integration by parts , Taylor series , parametric equations , vector calculus , and polar coordinate functions).

  3. List of derivatives and integrals in alternative calculi

    en.wikipedia.org/wiki/List_of_derivatives_and...

    Occasionally an alternative calculus is more suited than the classical calculus for expressing a given scientific or mathematical idea. [2] [3] [4] The table below is intended to assist people working with the alternative calculus called the "geometric calculus" (or its discrete analog).

  4. Numerical differentiation - Wikipedia

    en.wikipedia.org/wiki/Numerical_differentiation

    The classical finite-difference approximations for numerical differentiation are ill-conditioned. However, if is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near , then there are stable methods.

  5. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = (), where both f and g are differentiable and ()

  6. Bergen County Technical High School, Teterboro Campus

    en.wikipedia.org/wiki/Bergen_County_Technical...

    Bergen Tech - Teterboro offers a wide range of mathematics courses. These include: Algebra I, Geometry, Math Analysis I & II (a highly rigorous 2-year Precalculus with Limits course with a heavy emphasis on Algebra II and Trigonometry), AP Calculus AB, AP Calculus BC, Multivariable Calculus, and AP Statistics. Based on the number of students ...

  7. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.

  8. Leibniz integral rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz_integral_rule

    In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of the form () (,), where < (), < and the integrands are functions dependent on , the derivative of this integral is expressible as (() (,)) = (, ()) (, ()) + () (,) where the partial derivative indicates that inside the integral, only the ...

  9. Mathematics education in the United States - Wikipedia

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

    A successfully completed college-level calculus course like one offered via Advanced Placement program (AP Calculus AB and AP Calculus BC) is a transfer-level course—that is, it can be accepted by a college as a credit towards graduation requirements. Prestigious colleges and universities are believed to require successful completion AP ...

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