UiO Math Project Work Reports
Author
Martin Helsø
License
Creative Commons CC BY 4.0
Abstract
Template for projects written in the project work courses at the Department of Mathematics at the University of Oslo.
Template for projects written in the project work courses at the Department of Mathematics at the University of Oslo.
\documentclass[a4paper, article, oneside, UKenglish]{memoir}
%% Title page
\usepackage{projectfp} % [MAT2000], [MAT2500], [MEK3200] or [STK-MAT2011]
%% Encoding
\usepackage[utf8]{inputenx} % Source code
\usepackage[T1]{fontenc} % PDF
%% Fonts and typography
\usepackage{lmodern} % Latin Modern Roman
\usepackage[scaled]{beramono} % Bera Mono (Bitstream Vera Sans Mono)
\renewcommand{\sfdefault}{phv} % Helvetica
\usepackage[final]{microtype} % Improved typography
\renewcommand{\abstractnamefont}{\sffamily\bfseries} % Abstract
\renewcommand*{\chaptitlefont}{\Large\bfseries\sffamily\raggedright} % Chapter
\setsecheadstyle{\large\bfseries\sffamily\raggedright} % Section
\setsubsecheadstyle{\large\bfseries\sffamily\raggedright} % Subsection
\setsubsubsecheadstyle{\normalsize\bfseries\sffamily\raggedright} % Subsubsection
\setparaheadstyle{\normalsize\bfseries\sffamily\raggedright} % Paragraph
\setsubparaheadstyle{\normalsize\bfseries\sffamily\raggedright} % Subparagraph
%% Mathematics
\usepackage{amssymb} % Extra symbols
\usepackage{amsthm} % Theorem-like environments
\usepackage{thmtools} % Theorem-like environments
\usepackage{mathtools} % Fonts and environments for mathematical formuale
\usepackage{mathrsfs} % Script font with \mathscr{}
%% Miscellaneous
\usepackage{graphicx} % Tool for images
\graphicspath{{figures/}}
\usepackage{babel} % Automatic translations
\usepackage{csquotes} % Quotes
\usepackage{textcomp} % Extra symbols
\usepackage{listings} % Typesetting code
\lstset{basicstyle = \ttfamily, frame = tb}
%% Bibliography
\usepackage{mathscinet}
\usepackage[backend = biber,
sortcites = true,
giveninits = true,
doi = false,
isbn = false,
url = false,
sortlocale = nb_NO,
style = alphabetic]{biblatex}
\DeclareNameAlias{sortname}{family-given}
\DeclareNameAlias{default}{family-given}
\DeclareFieldFormat[article]{volume}{\bibstring{jourvol}\addnbspace#1}
\DeclareFieldFormat[article]{number}{\bibstring{number}\addnbspace#1}
\renewbibmacro*{volume+number+eid}
{
\printfield{volume}
\setunit{\addcomma\space}
\printfield{number}
\setunit{\addcomma\space}
\printfield{eid}
}
\addbibresource{bibliography.bib}
%% Cross references
\usepackage{varioref}
\usepackage[pdfusetitle]{hyperref}
\urlstyle{sf}
\usepackage[nameinlink, capitalize, noabbrev]{cleveref}
\crefname{chapter}{Section}{Sections}
%% Theorem-like environments
\declaretheorem[style = plain, numberwithin = chapter]{theorem}
\declaretheorem[style = plain, sibling = theorem]{corollary}
\declaretheorem[style = plain, sibling = theorem]{lemma}
\declaretheorem[style = plain, sibling = theorem]{proposition}
\declaretheorem[style = definition, sibling = theorem]{definition}
\declaretheorem[style = definition, sibling = theorem]{example}
\declaretheorem[style = remark, numbered = no]{remark}
%% Delimiters
\DeclarePairedDelimiter{\p}{\lparen}{\rparen} % Parenthesis
\DeclarePairedDelimiter{\set}{\lbrace}{\rbrace} % Set
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert} % Absolute value
\DeclarePairedDelimiter{\norm}{\lVert}{\rVert} % Norm
%% Operators
\newcommand{\diff}{\mathop{}\!\mathrm{d}}
\DeclareMathOperator{\im}{im}
\DeclareMathOperator{\rank}{rank}
\DeclareMathOperator{\E}{E}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cov}{Cov}
%% New commands for sets
\newcommand{\N}{\mathbb{N}} % Natural numbers
\newcommand{\Z}{\mathbb{Z}} % Integers
\newcommand{\Q}{\mathbb{Q}} % Rational numbers
\newcommand{\R}{\mathbb{R}} % Real numbers
\newcommand{\C}{\mathbb{C}} % Complex numbers
\newcommand{\A}{\mathbb{A}} % Affine space
\renewcommand{\P}{\mathbb{P}} % Projective space
%% New commands for vectors
\renewcommand{\a}{\mathbf{a}}
\renewcommand{\b}{\mathbf{b}}
\renewcommand{\c}{\mathbf{c}}
\renewcommand{\v}{\mathbf{v}}
\newcommand{\w}{\mathbf{w}}
\newcommand{\x}{\mathbf{x}}
\newcommand{\y}{\mathbf{y}}
\newcommand{\z}{\mathbf{z}}
\newcommand{\0}{\mathbf{0}}
\newcommand{\1}{\mathbf{1}}
%% Miscellaneous
\renewcommand{\qedsymbol}{\(\blacksquare\)}
\title{Title}
\author{Author}
\supervisor{Supervisor}
% Multiple supervisors: \supervisor{Supervisor 1}{Supervisor 2}...{Supervisor n}
% Skip supervisor for MAT2500
\begin{document}
\projectfrontpage
\begin{abstract}
\noindent
Brief summary of the paper.
\end{abstract}
\chapter{Introduction}
Purpose of the paper, historical context, necessary background information and notation.
\chapter{Body of the Work}
Full proofs, numerical implementations.
Remember to cite your sources,
such as \cite{Hel17}.
\begin{theorem}[Pythagoras]
\label{thm:pythagoras}
In a right triangle,
the square of the hypotenuse is equal to the sum of the squares of the other two sides.
That is,
\begin{equation}
\label{eq:pythagoras}
a^2 + b^2 = c^2,
\end{equation}
where \(c\) is the length of the hypotenuse and \(a\) and \(b\) are the lengths of the two other sides.
\end{theorem}
\begin{proof}
Draw a figure.
\end{proof}
\chapter{Conclusions}
Optional. Results, consequences, future work.
\cref{tab:numbers} lists some integers satisfying \cref{eq:pythagoras} of \cref{thm:pythagoras}.
\begin{table}[htbp]
\centering
\begin{tabular}{@{}ccc@{}}
\toprule
\(\boldsymbol{a}\) & \(\boldsymbol{b}\) & \(\boldsymbol{c}\)
\\
\midrule
3 & 4 & 5
\\
65 & 72 & 97
\\
\bottomrule
\end{tabular}
\caption{Some interesting numbers}
\label{tab:numbers}
\end{table}
\printbibliography
\end{document}