%% This document created by Scientific Notebook (R) Version 3.0


\documentclass[12pt,thmsa]{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{makeidx}
\usepackage{sw20jart}

%TCIDATA{TCIstyle=article/art4.lat,jart,sw20jart}

%TCIDATA{<META NAME="ViewSettings" CONTENT="31">}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="Title" CONTENT="Vector Calculus">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 16:54:11 1997}
%TCIDATA{Language=American English}
%TCIDATA{CSTFile=MathHelp.cst}
%TCIDATA{<LINK REL="author" HREF="DM0-1.tex">}
%TCIDATA{<LINK REL="first" HREF="DM1.tex">}
%TCIDATA{<LINK REL="contents" HREF="DM0-0.tex">}
%TCIDATA{<LINK REL="copyright" HREF="DM0-2.tex">}
%TCIDATA{<LINK REL="end" HREF="DM12.tex">}
%TCIDATA{<LINK REL="index" HREF="DMIndex.tex">}
%TCIDATA{<LINK REL="next" HREF="DM10.tex">}
%TCIDATA{<LINK REL="parent" HREF="DM0-0.tex">}
%TCIDATA{<LINK REL="previous" HREF="DM8.tex">}
%TCIDATA{<LINK REL="top" HREF="DM0-0.tex">}

\input{tcilatex}
\begin{document}


\section{Vector Calculus}

\subsubsection{\protect\smallskip Vectors}

\hyperref{+ Notation for Vectors}{}{}{DM9-1.tex#Vectors}

\hyperref{+ Vector Sums}{}{}{DM9-1.tex#Vector sums}

\hyperref{+ Dot Product}{}{}{DM9-1.tex#Dot product}

\hyperref{+ Cross Product}{}{}{DM9-1.tex#Cross product}

\hyperref{+ Vector Norms}{}{}{DM9-1.tex#Vector norms}

\subsubsection{Gradient, Divergence, and Curl}

\hyperref{+ Gradient}{}{}{DM9-2.tex#Gradient}

\hyperref{+ Divergence}{}{}{DM9-2.tex#Divergence}

\hyperref{+ Curl}{}{}{DM9-2.tex#Curl}

\hyperref{+ Laplacian}{}{}{DM9-2.tex#Laplacian}

\hyperref{+ Directional Derivatives}{}{}{DM9-2.tex#Directional derivative}

\subsubsection{Plots of Vector Fields and Gradients}

\hyperref{+ Plots of Vector Fields}{}{}{DM9-3.tex#Vector field}

\hyperref{+ Plots of Gradient Fields}{}{}{DM9-3.tex#Gradient field}

\subsubsection{Scalar and Vector Potentials}

\hyperref{+ Scalar Potential}{}{}{DM9-4.tex#Scalar potential}

\hyperref{+ Vector Potential}{}{}{DM9-4.tex#Vector, potential}

\subsubsection{Matrix-Valued Operators}

\hyperref{+ Hessian}{}{}{DM9-5.tex#Hessian}

\hyperref{+ Jacobian}{}{}{DM9-5.tex#Jacobian}

\subsubsection{Plots of Complex Functions}

\hyperref{+ Conformal Plots}{}{}{DM9-6.tex#Conformal plot}

\subsubsection{Examples}

\hyperref{+ Exercises}{}{}{DM9-7.tex#Exercises}

\hyperref{+ Solutions}{}{}{DM9-7.tex#Solutions}

\end{document}
