%%% LaTeX Template
%%% This template is made for project reports
%%%	You may adjust it to your own needs/purposes
%%% Modified from howtex.com
%%% Copyright: http://www.howtotex.com/
%%% Date: March 2013

%%% Preamble
\documentclass[a4paper, 11pt]{article} % Article class, 11pt font, a4 format

\usepackage[english]{babel}	 							% English language
\usepackage[protrusion=true,expansion=true]{microtype}	% Better typography
\usepackage{amsmath,amsfonts,amsthm}					    % Math packages
\usepackage[pdftex]{graphicx}					     	% Enable pdflatex
\usepackage{url}
\usepackage{color}


%%% Custom headers/footers (fancyhdr package)
\usepackage{fancyhdr}
\pagestyle{fancy}
\fancyhead[C]{SHORT TITLE HERE}				% Page header
\fancyhead[L]{}								% Empty
\fancyhead[R]{}								% Empty
\fancyfoot[L]{}								% Empty
\fancyfoot[R]{}								% Empty
\fancyfoot[C]{\thepage}						% Pagenumbering
\renewcommand{\headrulewidth}{0pt}			% Remove header underlines
\renewcommand{\footrulewidth}{0pt}			% Remove footer underlines
\setlength{\headheight}{13.6pt}


%%% Equation and float numbering
\numberwithin{equation}{section}		% Equationnumbering: section.eq#
\numberwithin{figure}{section}		% Figurenumbering: section.fig#
\numberwithin{table}{section}		% Tablenumbering: section.tab#


%%% Maketitle metadata
\newcommand{\horrule}[1]{\rule{\linewidth}{#1}} 	% Horizontal rule

\title{
		\normalfont \normalsize \textsc{Course Project\\ (Introduction to Reflection Groups)} \\ [15pt]
		\horrule{0.5pt} \\[0.3cm]
		\huge This is the title of your Project \\
		\horrule{2pt} \\[0.3cm]
}
\author{
		\normalfont 						\normalsize
        Firstname Lastname\\[-3pt]		\normalsize
        \today
}
\date{}


%%% Begin document
\begin{document}
\maketitle
\thispagestyle{empty}
\abstract{Abstract should be written here. An abstract is a brief summary of your article. It should help the reader quickly ascertain the paper's purpose. An abstract always appears at the beginning of a manuscript, acting as the point-of-entry for your paper.}

\section{Introduction}
{\color{red}Introduce your project here.} \par 

Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean commodo ligula eget dolor. Aenean massa. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Donec quam felis, ultricies nec, pellentesque eu, pretium quis, sem. In enim justo, rhoncus ut, imperdiet a, venenatis vitae, justo. Nullam dictum felis eu pede mollis pretium. Integer tincidunt. Cras dapibus. Vivamus elementum semper nisi. Aliquam lorem ante, dapibus in, viverra quis, feugiat a, tellus.\par 

{\color{red}Use \emph{align} environment for writing equations. Use \emph{align*} if you do not want the equations to be numbered.}

\begin{align} 
	\begin{split}
	(x+y)^3 	&= (x+y)^2(x+y)\\
					&=(x^2+2xy+y^2)(x+y)\\
					&=(x^3+2x^2y+xy^2) + (x^2y+2xy^2+y^3)\\
					&=x^3+3x^2y+3xy^2+y^3
	\end{split}					
\end{align}
Phasellus viverra nulla ut metus varius laoreet. Quisque rutrum. Aenean imperdiet. Etiam ultricies nisi vel augue. Curabitur ullamcorper ultricies 

\subsection{Heading on level 2 (subsection)}
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. 
\begin{align}
	A = 
	\begin{bmatrix}
	A_{11} & A_{21} \\
  	A_{21} & A_{22}
	\end{bmatrix}
\end{align}
Aenean commodo ligula eget dolor. Aenean massa. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Donec quam felis, ultricies nec, pellentesque eu, pretium quis, sem.


\paragraph{Heading on level 4 (paragraph)}
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean commodo ligula eget dolor. Aenean massa. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Donec quam felis, ultricies nec, pellentesque eu, pretium quis, sem. Nulla consequat massa quis enim. 

\section{Lists}

\subsection{Example for list (3*itemize)}
\begin{itemize}
	\item First item in a list 
		\begin{itemize}
		\item First item in a list 
			\begin{itemize}
			\item First item in a list 
			\item Second item in a list 
			\end{itemize}
		\item Second item in a list 
		\end{itemize}
	\item Second item in a list 
\end{itemize}

\subsection{Example for list (enumerate)}
\begin{enumerate}
	\item First item in a list 
	\item Second item in a list 
	\item Third item in a list
\end{enumerate}

\begin{thebibliography}{9}	% 9 = maximum expected references!

\bibitem{Lam} Lamport, Leslie. \LaTeX : A Document Preparation System.
Addison-Wesley Publ. 2007.

\bibitem{Sch} Schl\"{a}ffli,S.  Some math paper or book.	{\em Journal of Mathematical Enjoyment} (2014), 23-37.

\end{thebibliography}

%%% End document
\end{document}