Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...

a list of multivariable calculus topics. See also multivariable calculus, vector calculus, list of real analysis topics, list of calculus topics. Closed...

In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...

modern textbook of multivariable calculus, differential forms, and integration on manifolds for advanced undergraduates. Calculus on Manifolds is a brief...

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...

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...

notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory of distributions...

In calculus, and especially multivariable calculus, the mean of a function is loosely defined as the ”average" value of the function over its domain....

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...

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...

implicit functions, namely those that are obtained by equating to zero multivariable functions that are continuously differentiable. A common type of implicit...

calculus can refer to Multivariable calculus Mathematical analysis; specifically, real analysis A branch of calculus that goes beyond multivariable calculus;...

requires multivariable calculus. Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area...

Manifolds, a concise (146 pages) but rigorous and modern treatment of multivariable calculus accessible to advanced undergraduates. Spivak also wrote The Joy...

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...

Constructive analysis History of calculus Hypercomplex analysis Multiple rule-based problems Multivariable calculus Paraconsistent logic Smooth infinitesimal...

specialized settings—such as partial derivatives in multivariable calculus, tensor analysis, or vector calculus—other notations, such as subscript notation or...

generalized Stokes theorem (sometimes known as the fundamental theorem of multivariable calculus): Let M be an oriented piecewise smooth manifold of dimension n...

A differential form is a mathematical concept in the fields of multivariable calculus, differential topology, and tensors. Differential forms are organized...

Mountain pass theorem Howard Anton, Irl Bivens, Stephen Davis (2002): Calculus, Multivariable Version, p. 844. Chiang, Alpha C. (1984). Fundamental Methods of...

of infinitesimals For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics....

Calculus: Single and Multivariable. John Wiley. 2012-10-29. p. 919. ISBN 9780470888612. OCLC 828768012. Stewart, James (2003). Calculus (5th ed.). Belmont...

Iterated integral Jacobian matrix and determinant Laplace operator Multivariable calculus Symmetry of second derivatives Triple product rule, also known as...

In mathematics, particularly multivariable calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can...

Deborah; McCallum, William G.; Gleason, Andrew M. (2013). Calculus : Single and Multivariable (6 ed.). John wiley. ISBN 978-0470-88861-2. "Definition of...

In multivariable calculus, the directional derivative measures the rate at which a function changes in a particular direction at a given point.[citation...

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...

notations for multivariable analysis of vectors in an inner-product space Matrix calculus, a specialized notation for multivariable calculus over spaces...

basic form of Leibniz's Integral Rule, the multivariable chain rule, and the first fundamental theorem of calculus. Suppose f {\displaystyle f} is defined...

Real Variable: Elementary Theory. Springer. ISBN 354-065-340-6. Multivariable Calculus L. A. Talman (2007) Differentiability for Multivariable Functions...