• Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...
    19 KB (2,369 words) - 22:54, 3 July 2025
  • a list of multivariable calculus topics. See also multivariable calculus, vector calculus, list of real analysis topics, list of calculus topics. Closed...
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  • In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...
    85 KB (7,062 words) - 19:08, 25 May 2025
  • modern textbook of multivariable calculus, differential forms, and integration on manifolds for advanced undergraduates. Calculus on Manifolds is a brief...
    12 KB (1,178 words) - 16:05, 17 April 2025
  • The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial...
    22 KB (2,138 words) - 01:58, 28 July 2025
  • Implicit function (category Multivariable calculus)
    implicit functions, namely those that are obtained by equating to zero multivariable functions that are continuously differentiable. A common type of implicit...
    17 KB (2,204 words) - 03:08, 20 April 2025
  • both Calculus I and II. After passing the exam, students may move on to Calculus III (Multivariable Calculus). According to the College Board, Calculus BC...
    18 KB (1,487 words) - 11:49, 15 June 2025
  • Thumbnail for Area
    requires multivariable calculus. Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area...
    43 KB (5,365 words) - 07:16, 30 April 2025
  • notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory of distributions...
    8 KB (1,428 words) - 20:57, 10 September 2023
  • Thumbnail for Second partial derivative test
    Second partial derivative test (category Multivariable calculus)
    mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local minimum...
    8 KB (1,237 words) - 08:37, 5 June 2025
  • Partial derivative (category Multivariable calculus)
    Iterated integral Jacobian matrix and determinant Laplace operator Multivariable calculus Symmetry of second derivatives Triple product rule, also known as...
    24 KB (4,191 words) - 12:09, 14 December 2024
  • less than 10% were advised to enroll in a course such as Math 21: Multivariable Calculus (19 students). In the past, problem sets were expected to take from...
    23 KB (2,346 words) - 12:48, 3 July 2025
  • Hessian matrix (category Multivariable calculus)
    of redirect targets Hessian equation Binmore, Ken; Davies, Joan (2007). Calculus Concepts and Methods. Cambridge University Press. p. 190. ISBN 978-0-521-77541-0...
    22 KB (3,550 words) - 21:19, 31 July 2025
  • calculus can refer to Multivariable calculus Mathematical analysis; specifically, real analysis A branch of calculus that goes beyond multivariable calculus;...
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  • generalized Stokes theorem (sometimes known as the fundamental theorem of multivariable calculus): Let M be an oriented piecewise smooth manifold of dimension n...
    31 KB (4,883 words) - 05:40, 13 July 2025
  • Mean of a function (category Calculus)
    In calculus, and especially multivariable calculus, the mean of a function is loosely defined as the ”average" value of the function over its domain....
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  • Notation for differentiation (category Differential calculus)
    specialized settings—such as partial derivatives in multivariable calculus, tensor analysis, or vector calculus—other notations, such as subscript notation or...
    35 KB (4,952 words) - 20:50, 29 July 2025
  • Function of a real variable (category Multivariable calculus)
    Real Variable: Elementary Theory. Springer. ISBN 354-065-340-6. Multivariable Calculus L. A. Talman (2007) Differentiability for Multivariable Functions...
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  • of infinitesimals For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics....
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  • Thumbnail for Mathematical analysis
    Constructive analysis History of calculus Hypercomplex analysis Multiple rule-based problems Multivariable calculus Paraconsistent logic Smooth infinitesimal...
    45 KB (4,391 words) - 00:05, 30 July 2025
  • Thumbnail for Parametric equation
    Parametric equation (category Multivariable calculus)
    Calculus: Single and Multivariable. John Wiley. 2012-10-29. p. 919. ISBN 9780470888612. OCLC 828768012. Stewart, James (2003). Calculus (5th ed.). Belmont...
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  • Thumbnail for Michael Spivak
    Manifolds, a concise (146 pages) but rigorous and modern treatment of multivariable calculus accessible to advanced undergraduates. Spivak also wrote The Joy...
    14 KB (1,236 words) - 07:31, 22 May 2025
  • Thumbnail for Surface integral
    Surface integral (category Multivariable calculus)
    In mathematics, particularly multivariable calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can...
    15 KB (2,248 words) - 21:06, 10 April 2025
  • notations for multivariable analysis of vectors in an inner-product space Matrix calculus, a specialized notation for multivariable calculus over spaces...
    5 KB (657 words) - 10:42, 11 July 2025
  • Jacobian matrix and determinant (category Multivariable calculus)
    In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order...
    26 KB (3,768 words) - 07:42, 17 June 2025
  • Directional derivative (category Multivariable calculus)
    In multivariable calculus, the directional derivative measures the rate at which a function changes in a particular direction at a given point.[citation...
    23 KB (4,991 words) - 16:21, 31 July 2025
  • Leibniz integral rule (category Multivariable calculus)
    basic form of Leibniz's Integral Rule, the multivariable chain rule, and the first fundamental theorem of calculus. Suppose f {\displaystyle f} is defined...
    53 KB (11,253 words) - 03:22, 22 June 2025
  • Thumbnail for Gaussian integral
    Gaussian integral can be solved analytically through the methods of multivariable calculus. That is, there is no elementary indefinite integral for ∫ e − x...
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  • Laplace operator (category Multivariable calculus)
    Laplacian is defined are: analysis on fractals, time scale calculus and discrete exterior calculus. Styer, Daniel F. (2015-12-01). "The geometrical significance...
    31 KB (4,697 words) - 22:49, 2 August 2025
  • Thumbnail for Discrete mathematics
    mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers;...
    26 KB (2,772 words) - 07:11, 22 July 2025