Mathematical Sciences Capstone Template
Author
Alastair Litterick
Last Updated
a month ago
License
Creative Commons CC BY 4.0
Abstract
A template for students completing their Capstone project
A template for students completing their Capstone project
\documentclass[12pt, a4paper,twoside]{report}
%% Every LaTeX document begins with a preamble, which loads packages and
%% defines various settings to make the document look right. Mostly,
%% you can ignore everything in this template before \begin{document} on
%% line 74
\usepackage{mathtools,amsthm} % Enable useful mathematical symbols/environments
\usepackage{graphicx} % Enable graphics
\usepackage{fancyhdr,titlesec,microtype} % enable various formatting commands
\usepackage[margin=2.5cm]{geometry} % Set margin size
\usepackage{palatino} % Set the font
\usepackage[latin1]{inputenc} % Allow you to input accents, umlauts and other characters
\usepackage[T1]{fontenc} % Lets LaTeX print a wider array of characters
\usepackage{xcolor} % Enable coloured elements
\definecolor{mypurple}{HTML}{622567} %%% Purple
\definecolor{myred}{HTML}{D55C19} %%%EssexOrange
\definecolor{myblue}{HTML}{007A87} %%%Seagrass
% For technical reasons, hyperref should be loaded after all other packages
\usepackage[colorlinks,linkcolor=myblue,citecolor=mypurple]{hyperref}
\renewcommand{\baselinestretch}{1.5} % 1.5 line spacing
% Define \begin{theorem}, \end{theorem}, etc.
\theoremstyle{plain} % The following will be italicised
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\theoremstyle{definition} % The following environments will not use italics
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\theoremstyle{remark} % The following environments will not use italics or bold titles
\newtheorem{remark}[theorem]{Remark}
\numberwithin{equation}{chapter}
% Fancy headings
\pagestyle{fancy}
\setlength{\headheight}{15pt}
\fancyheadoffset[LE,RO]{0pt}
\renewcommand{\chaptermark}[1]{\markboth{#1}{}}
\renewcommand{\sectionmark}[1]{\markright{\thesection\ #1}}
\fancyhf{}
\fancyhead[LE]{\makebox[0pt][l]{\thepage}\hfill\leftmark}
\fancyhead[RO]{\rightmark\hfill\makebox[0pt][r]{\thepage}}
\fancypagestyle{plain}{%
\fancyhead{} % get rid of headers
\renewcommand{\headrulewidth}{0pt} % and the line
}
% Fancy chapter numbers
\titleformat{\chapter}[display]
{\normalfont\bfseries\color{myred}}
{\filleft\hspace*{-60pt}%
\rotatebox[origin=c]{90}{%
\normalfont\color{black}\Large%
\textls[180]{\textsc{\chaptertitlename}}%
}
\hspace{10pt}%
{\setlength\fboxsep{0pt}%
\colorbox{myred}{\parbox[c][3cm][c]{2.5cm}{%
\centering\color{white}\fontsize{80}{90}\selectfont\thechapter}%
}
}
}
{10pt}
{\titlerule[2.5pt]\vskip3pt\titlerule\vskip4pt\LARGE\sffamily}
\begin{document} % Start your document
%%%%%%%%%%%% BEGIN TITLE PAGE %%%%%%%%%%%%
\thispagestyle{empty} % For the title page, no header / footer
\noindent
\begin{minipage}{0.1\textwidth}
\includegraphics[width=0.35\textwidth]{essex.png}
\end{minipage}
\begin{minipage}{0.89\textwidth}
% \begin{center}
\renewcommand\familydefault{\sfdefault}
\fontfamily{phv}\selectfont
{\Large \bf \sl University of Essex}\\[0.7em]
{\Large \bf Department of Mathematical Sciences}
% \end{center}
\end{minipage}
\begin{center}
\noindent\textcolor{myred}{\rule{\linewidth}{4.8pt}}
\vspace{2em}
\noindent {\LARGE \sc Capstone Project Dissertation}
\vspace{3em}
\noindent {\Huge{\color{myblue} YOUR PROJECT TITLE HERE}}
\vspace{3em}
\noindent {\Large \bf YOUR NAME HERE}
\vfill
\noindent {\Large {Supervisor:} {\color{mypurple} \bf YOUR SUPERVISOR NAME HERE}}
\vspace{0.5em}
\noindent\textcolor{myred}{\rule{\linewidth}{4.8pt}}
\vspace{2em}
{\Large \today }
{\Large Colchester}
\end{center}
\clearpage
%%%%%%%%%%%% END TITLE PAGE %%%%%%%%%%%%
\tableofcontents
% If you have lots of figures with captions / numbers, uncomment the following line
% \listoffigures
% If you have lots of tables and want a list of them, uncomment the following line
% \listoftables
\chapter{Introduction}\label{ch:1}
The first chapter of a Capstone document is usually an overview of what you've done. Often, it is the last chapter you will write.
\begin{theorem} \label{example-theorem}
Sometimes, you will want to state the main results of your document in the introduction.
\end{theorem}
\begin{remark}
LaTeX is clever, and automatically generates numbers for theorems, remarks and anything else you might want to label. You can give these an invisible name using \verb!\label{your-key}! and referring back to it later using \verb!\ref{your-key}!, for example the following number will be the same as the theorem above: Theorem \ref{example-theorem}.
\end{remark}
Similarly, you will want to reference external sources as you write your document. The basic way to do this is to add \verb!\bibitem{your-chosen-key}!s at the end of your document (this template has three examples), and use \verb!\cite{your-chosen-key}! to refer to it. For instance, if I wanted to cite the example document by Noether, I can write \cite{Noether}.
Mathematics is added using dollar signs for in-line math, i.e. $x^2 + y^2 = z^2$, or by using open-bracket close-bracket for a displayed equation.
\[ c^2 = a^2 + b^2 - 2ab\cos \theta. \]
Ordered lists are written using the \verb!enumerate! environment:
\begin{enumerate}
\item Hello.
\item This is the second item in my list.
\end{enumerate}
I can also write unordered lists using \verb!itemize!:
\begin{itemize}
\item Hello.
\item This is now the second item in my list.
\end{itemize}
\chapter{Your first main chapter}\label{ch:2}
Here is the meat of your document
\section{Your first section of the first main chapter}\label{sec:2.1}
... goes here.
\chapter{Conclusions}\label{ch:concl}
And here is the final chapter showing how clever you are ....
%%% Remove the following example bibliography items and add your own %%%
% The `99' here tells LaTeX to reserve as much space for the bibliography item numbers as if they were as wide as the number '99'. No need to change this unless you expect to reference 100 documents or more.
\begin{thebibliography}{99}
\bibitem{Noether}
E.~Noether.
\newblock Invariante {V}ariationsprobleme.
\newblock \emph{Nachr. d. K{\"o}nig. Gesellsch.\ d.\ Wiss.\ zu G{\"o}ttingen,
Math-phys.\ Klasse, {Seite 235-157}}, 1918.
\bibitem{Turing}
A.~M. Turing.
\newblock Computing machinery and intelligence.
\newblock \emph{Mind}, 59:433--460, 1950.
\bibitem{myFakeBook}
J.~Fakename.
\newblock Name of book or article goes here.
\newblock \emph{Journal name}, page numbers, year, other specific info.
\end{thebibliography}
\end{document}