for_icm.tex

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  language=MATLAB,
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  \begin{document}

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  %                         Start here
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  \title{Homework 01}
  \author{Bert Chang B00201037\\ %replace with your name
  Introduction to Computational Mathematics} %if necessary, replace with your course title

  \maketitle

  \begin{enumerate}
    \item
      \begin{enumerate}
        \item
          With the following code, it shows that the error decreases rapidly. As soon as \(n\) exceeds about \(14\), the error stop decreasing. I think this is the so called Gibbs phenomenon.
          \begin{lstlisting}
            function cheb_interpolant
            f = chebfun('exp(x)');
            y = [];
            for n=[1:100]
              p_n = chebfun('exp(x)', n);
              y(n) = norm(f - p_n, inf);
            end
            semilogy(y)
            end
          \end{lstlisting}
          \includegraphics[scale=.5]{cheb_interpolant.eps}
        \item
          Using the same above code with a little bit changes,
          \begin{lstlisting}
            f = chebfun('1/(1+25*x^2)', 'vectorize');
            p_n = chebfun('1/(1+25*x^2)', n, 'vectorize');
          \end{lstlisting}
          and also alter \(n\) from \(100\) to \(300\).
          Then we get this plotting,\\
          \includegraphics[scale=.5]{cheb_interpolant2.eps}
      \end{enumerate}
    \item
      \begin{enumerate}
        \item
          blah
      \end{enumerate}
  \end{enumerate}

  % --------------------------------------------------------------
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  \end{document}

HWTemplate.tex

% --------------------------------------------------------------
% This is all preamble stuff that you don't have to worry about.
% Head down to where it says "Start here"
% --------------------------------------------------------------
 
\documentclass[12pt]{article}
 
\usepackage{fontspec,xltxtra,xunicode}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath,amsthm,amssymb}
\setromanfont{Apple LiSung Light}

\XeTeXlinebreaklocale "zh"
\XeTeXlinebreakskip = 0pt plus 1pt

% ------ For pasting codes ------
\usepackage{listings}
\usepackage{color}

\definecolor{dkgreen}{rgb}{0,0.6,0}
\definecolor{gray}{rgb}{0.5,0.5,0.5}
\definecolor{mauve}{rgb}{0.58,0,0.82}

\lstset{frame=tb,
  language=Haskell,
  aboveskip=3mm,
  belowskip=3mm,
  showstringspaces=false,
  columns=flexible,
  basicstyle={\small\ttfamily},
  numbers=none,
  numberstyle=\tiny\color{gray},
  keywordstyle=\color{blue},
  commentstyle=\color{dkgreen},
  stringstyle=\color{mauve},
  breaklines=true,
  breakatwhitespace=true,
  tabsize=3
}
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\newenvironment{question}[2][Question]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{corollary}[2][Corollary]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
 
\begin{document}
 
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%                         Start here
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\title{Exercises 01}
\author{Bert Chang\\ %replace with your name
Programming Language} %if necessary, replace with your course title
 
\maketitle
 
\begin{enumerate}
    \item 
        \begin{lstlisting}
        areaOfCircle :: Double -> Double
        areaOfCircle r = pi' * r * r
            where pi' = 22 / 7
        \end{lstlisting}
\end{enumerate}
 
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%     You don't have to mess with anything below this line.
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\end{document}