Topics in a Multivariable Calculus Course
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||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 is the branch of calculus that studies functions of more than one variable.
||A partial derivative is a derivative of a multivariate function in which all but one of the variables are held fixed during the differentiation.
||A tangent vector is a vector pointing in the direction of the tangent line to the graph of a function.
||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.