\documentclass{amsart}
\usepackage{graphicx}

\title{Newton's Method in Two Dimensions}
\author{Put Your Name(s) Here}

\begin{document}

\maketitle

\section{Introduction}

Set up the problem and give the background.

\section{Discussion}

What is the method we are discussing, and what is it used for?
Try to give the reader an intuitive understanding of the algorithm, as
well as a formal mathematical algorithm.

Are there any problems that users should know about in using the
method?

\section{Maple Programming}

Here is an example of how to include Maple code into your \LaTeX\ document- The
{\tt verbatim} environment is typeset exactly as shown with no further processing.
Here is the main ``for'' loop that we discussed for the one-dimensional Newton's method:
\begin{verbatim}
for i from 1 to 4 do
    y:=newt(t);
    if abs(y-t)<10^(-8)
    then printf("Done on iterate %d", i);
         printf(" and the solution is %f\n", y);
         break;  
    else
         t:=y;
    end         
od;
\end{verbatim}

\section{Examples}

We now demonstrate the method ...

\end{document}
