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  2. Multivariable calculus - Wikipedia

    en.wikipedia.org/wiki/Multivariable_calculus

    Multivariable calculus is used in many fields of natural and social science and engineering to model and study high-dimensional systems that exhibit deterministic behavior. In economics , for example, consumer choice over a variety of goods, and producer choice over various inputs to use and outputs to produce, are modeled with multivariate ...

  3. 3Blue1Brown - Wikipedia

    en.wikipedia.org/wiki/3Blue1Brown

    Sanderson graduated from Stanford University in 2015 with a bachelor's degree in mathematics. [8] He worked for Khan Academy from 2015 to 2016 as part of their content fellowship program, producing videos and articles about multivariable calculus, after which he started focusing his full attention on 3Blue1Brown.

  4. List of multivariable calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_multivariable...

    This is a list of multivariable calculus topics. See also multivariable calculus, vector calculus, list of real analysis topics, list of calculus topics. Closed and exact differential forms; Contact (mathematics) Contour integral; Contour line; Critical point (mathematics) Curl (mathematics) Current (mathematics) Curvature; Curvilinear ...

  5. Category:Multivariable calculus - Wikipedia

    en.wikipedia.org/.../Category:Multivariable_calculus

    Multivariate (sometimes multivariable) calculus is the field of mathematics in which the results of differential and integral calculus are extended to contexts requiring the use of functions of several variables.

  6. Second partial derivative test - Wikipedia

    en.wikipedia.org/wiki/Second_partial_derivative_test

    In 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, maximum or saddle point. Functions of two variables

  7. Calculus on Manifolds (book) - Wikipedia

    en.wikipedia.org/wiki/Calculus_on_Manifolds_(book)

    Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables (f : R n →R m) and differentiable manifolds in Euclidean space. . In addition to extending the concepts of differentiation (including the inverse and implicit function theorems) and Riemann integration (including Fubini's theorem) to functions of several variables, the book treats ...

  8. Generalized Stokes theorem - Wikipedia

    en.wikipedia.org/wiki/Generalized_Stokes_theorem

    In particular, the fundamental theorem of calculus is the special case where the manifold is a line segment, Green’s theorem and Stokes' theorem are the cases of a surface in or , and the divergence theorem is the case of a volume in . [2] Hence, the theorem is sometimes referred to as the fundamental theorem of multivariate calculus.

  9. Iterated limit - Wikipedia

    en.wikipedia.org/wiki/Iterated_limit

    In multivariable calculus, an iterated limit is a limit of a sequence or a limit of a function in the form , = (,), (,) = ((,)),or other similar forms. An iterated limit is only defined for an expression whose value depends on at least two variables. To evaluate such a limit, one takes the limiting process as one of the two variables approaches some number, getting an expression whose value ...

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