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Topics in a Multivariable Calculus Course

To learn more about a topic listed below, click the topic name to go to the corresponding MathWorld classroom page.

Jacobian The Jacobian of a function consists of its partial derivatives arranged in matrix form and arises when performing a change of variables in multivariable calculus.
Multivariable Calculus Multivariable calculus is the branch of calculus that studies functions of more than one variable.
Partial Derivative A partial derivative is a derivative of a multivariate function in which all but one of the variables are held fixed during the differentiation.
Tangent Vector A tangent vector is a vector pointing in the direction of the tangent line to the graph of a function.
Vector Field A vector field is a function that assigns a vector to each point of Euclidean space. Vector fields arise in differential equations and differential geometry.