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%TCIDATA{<META NAME="Title" CONTENT="Reference/Mathematics/Vector Calculus">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
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\section{Vector Calculus}

Vector calculus is the calculus of functions that assign vectors to points
in space. It can be applied to problems such as finding the work done by a
force field in moving an object along a curve or finding the rate of fluid
flow across a surface.

\subsection{\ Contents}

\hyperref{+ Vector Fields}{}{}{Vec01_01.tex#Vector Field}

\hyperref{+ Line Integrals}{}{}{Vec02_01.tex#Line Integrals}

\hyperref{+ Green's Theorem}{}{}{Vec03_01.tex#Green's Theorem}

\hyperref{+ Curl and Divergence}{}{}{Vec04_01.tex#Curl}

\hyperref{+ Surface Area}{}{}{Vec05_01.tex#Surface Area}

\hyperref{+ Surface Integrals}{}{}{Vec06_01.tex#Surface Integrals}

\hyperref{+ Stokes Theorem}{}{}{Vec07_01.tex#Stokes}

\hyperref{+ Divergence Theorem}{}{}{Vec08_01.tex#Divergence}

\subsection{\ Related Reference Topics}

{\small \hyperref{Calculus}{}{}{cal_contents.tex}}

{\small \hyperref{Differential Equations}{}{}{ODE_contents.tex}}

\subsection{\ Related Scientific Notebook Topics}

{\small \hyperref{Vectors}{}{}{../../Help/DM9-1.tex#Vectors}}

{\small \hyperref{Gradient, Divergence, and Curl}{}{}{%
../../Help/DM9-2.tex#Gradient}}

{\small \hyperref{Plots of Vector Fields and Gradients}{}{}{%
../../Help/DM9-3.tex#Vector field}}

{\small \hyperref{Scalar and Vector Potentials}{}{}{%
../../Help/DM9-4.tex#Scalar potential}}

{\small \hyperref{Matrix-Valued Operators}{}{}{../../Help/DM9-5.tex#Hessian}}

{\small \hyperref{Plots of Complex Functions}{}{}{%
../../Help/DM9-6.tex#Conformal plot}}

{\small \hyperref{Examples}{}{}{../../Help/DM9-7.tex#Exercises}}\hfill

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