multivariable-calculus.tex

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\begin{document}
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\frontmatter
\title{Multivariable Calculus}
\author{Ben Woodruff\thanks{Mathematics Faculty at Brigham Young
    University--Idaho, \url{woodruffb@byui.edu}} \and Jason
  Grout\thanks{\mbox{Mathematics Faculty at Drake University, Des Moines,
    IA, \url{jason.grout@drake.edu}}}}
\date{Typeset on \today\\
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\maketitle
\thispagestyle{empty}

\noindent\copyright{ 2010 Ben Woodruff and Jason Grout.  Some Rights Reserved.\\

\bigskip

\noindent Except where otherwise noted, this work is licensed under the Creative Commons
Attribution-ShareAlike 3.0 United States License. To view a copy of
this license, visit 
\begin{center}
  \url{http://creativecommons.org/licenses/by-sa/3.0/us/}
\end{center}
or send a letter to Creative Commons, 171 Second Street, Suite 300,
San Francisco, California, 94105, USA.

\bigskip

\noindent Please attribute this work to:
\smallskip

Ben Woodruff, Mathematics Faculty at Brigham Young University--Idaho,
 \url{woodruffb@byui.edu}, and

\smallskip

 Jason Grout, Mathematics Faculty at Drake University, Des Moines, IA,
 \url{jason.grout@drake.edu}.

\vfill 

The source for this work is available at \url{http://github.com/jasongrout/multivariable-calculus}.
\vfill
}
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\tableofcontents



%\chapter*{Preface}
%
%I would like to thank BYU-Idaho for the resources they have provided me to create this text.  

%\chapter{Introduction}
%
%The introduction is entered using the usual chapter command. Since
%the introduction chapter appears before the \verb|mainmatter| TeX
%field, it is again an unnumbered chapter. The primary difference
%between the preface and the introduction in this sample document
%is that the introduction will appear in the table of contents and
%the page headings for the introduction are automatically handled
%without the need for the \verb|markboth| TeX field. You may use
%either or both methods to create chapters at the beginning of your
%document. You may also delete these preliminary chapters.





\mainmatter

\include{01-Curves-Coordinates-Differentials/Curves-Coordinates-Differentials}
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\include{01-Curves-Coordinates-Differentials/Curves-Coordinates-Differentials-Problems}
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\include{02-Vectors/Vectors}
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\include{02-Vectors/Vectors-Problems}
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\include{03-Functions/Functions-Content}
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\include{04-Derivatives/Derivatives-Content}
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\include{05-Motion/Motion-Content}
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\include{06-LineIntegrals/LineIntegrals-Content}
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\include{07-GradientFields/GradientFields-Content}
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\include{08-Optimization/Optimization-Content}
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\include{09-DoubleIntegrals/DoubleIntegrals-Content}
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% We actually have more content for this next chapter, and really the
% surface integrals should probably be a separate chapter if you
% include Stokes's and the Divergence theorems.
\include{10-SurfaceTripleIntegrals/SurfaceTripleIntegrals-Content}
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\include{10-SurfaceTripleIntegrals/SurfaceTripleIntegrals-Problems}
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%\backmatter

%\printindex








%\appendix
%
%\chapter{The First Appendix}
%
%The \verb"\appendix" command should be used only once. Subsequent appendices can
%be created using the Chapter command.
%
%\chapter{The Second Appendix}
%
%Some text for the second Appendix.
%
%This text is a sample for a short bibliography. You can cite a book by making use of
%the command \verb"\cite{KarelRektorys}": \cite{KarelRektorys}. Papers can be cited
%similarly: \cite{Bertoti97}. If you want multiple citations to appear in a single set
%of square brackets you must type all of the citation keys inside a single citation,
%separating each with a comma. Here is an example: \cite{Bertoti97, Szeidl2001,
%Carlson67}.
%
%\begin{thebibliography}{9}
%\bibitem {KarelRektorys}Rektorys, K., \textit{Variational methods in Mathematics,
%Science and Engineering}, D. Reidel Publishing Company,
%Dordrecht-Hollanf/Boston-U.S.A., 2th edition, 1975
%
%\bibitem {Bertoti97} \textsc{Bert\'{o}ti, E.}:\ \textit{On mixed variational formulation
%of linear elasticity using nonsymmetric stresses and displacements}, International
%Journal for Numerical Methods in Engineering., \textbf{42}, (1997), 561-578.
%
%\bibitem {Szeidl2001} \textsc{Szeidl, G.}:\ \textit{Boundary integral equations for
%plane problems in terms of stress functions of order one}, Journal of Computational and
%Applied Mechanics, \textbf{2}(2), (2001), 237-261.
%
%\bibitem {Carlson67}  \textsc{Carlson D. E.}:\ \textit{On G\"{u}nther's stress functions
%for couple stresses}, Quart. Appl. Math., \textbf{25}, (1967), 139-146.
%\end{thebibliography}
%


%\backmatter

%
%\chapter{Afterword}
%
%The back matter often includes one or more of an index, an afterword,
%acknowledgements, a bibliography, a colophon, or any other similar item. In
%the back matter, chapters do not produce a chapter number, but they are
%entered in the table of contents. If you are not using anything in the back
%matter, you can delete the back matter TeX field and everything that follows it.
\end{document}


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