## Viewing Multivariable Calculus topics

The following topics are immediate sub-topics of Multivariable Calculus.

• #### Term: Unit Tangent Vector

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• Definition: The unit tangent vector is the normalized tangent vector.
• #### Term: Tangent Vector

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• Definition: A tangent vector is a vector that is tangent to a curve or surface at a given point.
• #### Term: Divergence Theorem

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• Definition: Let E be a simple solid region and let S be the boundary surface of E, given with positive (outward) orientation. Let F be a vector field whose component functions have continuous partial derivati...
• #### Term: Stoke's Theorem

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• Definition: Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation. Let F be a vector field whose components have contin...
• #### Term: Flux Integral

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• Definition: If F is a continuous vector field defined on an orientated surface S with unit normal vector n, then the flux integral of F over S is int int_S F*dS = int int_S F*n dS. This integral is also calle...
• #### Term: Surface Integral

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• Definition: If F is a continuous vector field defined on an orientated surface S with unit normal vector n, then the surface integral of F over S is int int_S F*dS = int int_S F*n dS. This integral is also ca...
• #### Term: Parametric Surface

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• Definition: The set of all points (x,y,z) in R^3 such that x=x(u,v), y=y(u,v), z=z(u,v) where (u,v) varies throughout the region D in the uv-plane, is called a parametric surface.
• #### Term: Laplace Operator

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