%% Created by Maple 9.5, Linux
%% Source Worksheet: Untitled (1)
%% Generated: Wed Mar 29 15:39:55 CST 2017
\documentclass{article}
\usepackage{maplestd2e}
\def\emptyline{\vspace{12pt}}
\DefineParaStyle{Maple Heading 4}
\DefineParaStyle{Maple Heading 2}
\DefineParaStyle{Maple Text Output}
\DefineParaStyle{Maple Bullet Item}
\DefineParaStyle{Maple Warning}
\DefineParaStyle{Maple Error}
\DefineParaStyle{Maple Dash Item}
\DefineParaStyle{Maple Heading 3}
\DefineParaStyle{Maple Heading 1}
\DefineParaStyle{Maple Title}
\DefineParaStyle{Maple Normal}
\DefineCharStyle{Maple 2D Input}
\DefineCharStyle{Maple Maple Input}
\DefineCharStyle{Maple 2D Output}
\DefineCharStyle{Maple 2D Math}
\DefineCharStyle{Maple Hyperlink}
\begin{document}
\pagestyle{empty}
\begin{mapleinput}
\mapleinline{active}{1d}{\begin{Maple Normal}\QTR{Maple Maple Input}{}\QTR{Maple Maple Input}{with(plots);}\end{Maple Normal}}{}
\end{mapleinput}

\mapleresult
\begin{maplettyout}
\begin{Maple Warning}{\normalsize{Warning, the name changecoords has been redefined}}\end{Maple Warning}


\end{maplettyout}

\mapleresult
\begin{maplelatex}
\QTR{Maple 2D Output}{\mapleinline{inert}{2d}{[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, cylinderplot, densityplot, display, display3d, fieldplot, fieldplot3d, gradplot, gradplot3d, graphplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, replot, rootlocus, semilogplot, setoptions, setoptions3d, spacecurve, sparsematrixplot, sphereplot, surfdata, textplot, textplot3d, tubeplot]}{%
$[{\it animate},{\it animate3d},{\it animatecurve}\\
\mbox{},{\it arrow},{\it changecoords},{\it complexplot}\\
\mbox{},{\it complexplot3d},{\it conformal},{\it conformal3d}\\
\mbox{},{\it contourplot},{\it contourplot3d},{\it coordplot}\\
\mbox{},{\it coordplot3d},{\it cylinderplot},{\it densityplot}\\
\mbox{},{\it display},{\it display3d},{\it fieldplot},{\it fieldplot3d}\\
\mbox{},{\it gradplot},{\it gradplot3d},{\it graphplot3d}\\
\mbox{},{\it implicitplot},{\it implicitplot3d},{\it inequal}\\
\mbox{},{\it interactive},{\it interactiveparams},{\it listcontplot}\\
\mbox{},{\it listcontplot3d},{\it listdensityplot},{\it listplot}\\
\mbox{},{\it listplot3d},{\it loglogplot},{\it logplot},{\it matrixplot}\\
\mbox{},{\it multiple},{\it odeplot},{\it pareto},{\it plotcompare}\\
\mbox{},{\it pointplot},{\it pointplot3d},{\it polarplot}\\
\mbox{},{\it polygonplot},{\it polygonplot3d},{\it polyhedra\_supported}\\
\mbox{},{\it polyhedraplot},{\it replot},{\it rootlocus}\\
\mbox{},{\it semilogplot},{\it setoptions},{\it setoptions3d}\\
\mbox{},{\it spacecurve},{\it sparsematrixplot},{\it sphereplot}\\
\mbox{},{\it surfdata},{\it textplot},{\it textplot3d},{\it tubeplot}\\
\mbox{}]$}
}

\end{maplelatex}
\begin{mapleinput}
\mapleinline{active}{1d}{\begin{Maple Normal}\QTR{Maple Maple Input}{}\QTR{Maple Maple Input}{c:= n -\TEXTsymbol{>} 8*sin(n*Pi/2)/(n\symbol{94}\2*Pi\symbol{94}2);}\end{Maple Normal}}{}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\QTR{Maple 2D Output}{\mapleinline{inert}{2d}{c := proc (n) options operator, arrow; 8*sin(1/2*n*Pi)/(n^2*Pi^2) end proc}{%
\[
c\, := \,n\mapsto 8\,{\frac {\sin \left( 1/2\,n\pi  \right) }{{n}^{2}{\pi }^{2}}}
\]
}
}

\end{maplelatex}
\begin{mapleinput}
\mapleinline{active}{1d}{\begin{Maple Normal}\QTR{Maple Maple Input}{}\QTR{Maple Maple Input}{N:=100:   # Number of terms to use.}\end{Maple Normal}}{}
\end{mapleinput}
\begin{mapleinput}
\mapleinline{active}{1d}{\begin{Maple Normal}\QTR{Maple Maple Input}{}\QTR{Maple Maple Input}{animate({sum((c(n)*sin(n*Pi*x/2)*cos(n*Pi*t/2)), n=1..N)}, x=0..2, t=0..20, frames=150, thickness=2);}\end{Maple Normal}}{}
\end{mapleinput}

\mapleresult
\begin{center}
\mapleplot{animationplot1.eps}


\end{center}
\begin{mapleinput}
\mapleinline{active}{1d}{\begin{Maple Normal}\QTR{Maple Maple Input}{}\QTR{Maple Maple Input}{}\end{Maple Normal}}{}
\end{mapleinput}

\end{document}
%% End of Maple 9.5 Output