# MTE202 - Ordinary Differential Equations

Author

Jean-Pierre Hickey

License

Creative Commons CC BY 4.0

Abstract

Provides a template for the reports in MTE202 - Ordinary Differential Equations at the University of Waterloo, Canada.

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Author

Jean-Pierre Hickey

License

Creative Commons CC BY 4.0

Abstract

Provides a template for the reports in MTE202 - Ordinary Differential Equations at the University of Waterloo, Canada.

```
\documentclass[12pt,twoside,letterpaper]{article}
%NOTE: This report format is
\usepackage{lipsum}
\newcommand{\reporttitle}{Project: Report title}
\newcommand{\reportauthorOne}{Student 1}
\newcommand{\cidOne}{your id number}
\newcommand{\reportauthorTwo}{Student 2}
\newcommand{\cidTwo}{your id number}
\newcommand{\reporttype}{Coursework}
\bibliographystyle{plain}
% include files that load packages and define macros
\input{includes} % various packages needed for maths etc.
\input{notation} % short-hand notation and macros
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
% front page
\input{titlepage}
%%%%%%%%%%%%%%%%%%%%%%%%%%% table of content
%If a table of content is needed, simply uncomment the following lines
\tableofcontents
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Main document
\section*{Note:}
\emph{This document is intended to provide a sample structure for the reports in ME202 at the University of Waterloo. }
\section{Summary of the problem}
\lipsum % Just creates junk text
\begin{figure}[h!]
\centering
\includegraphics[width=0.45\textwidth]{figures/goose.png}
\caption{A goose.}
\label{goose}
\end{figure}
Refence a Figure \ref{goose} or and equation \eqref{RP}.
\begin{equation}
\rho_l \left(R\ddot{R} + \frac{3}{2}\dot{R}^2\right) = p_{gas} -P(t) -P_0 +\frac{R}{c}\frac{d p_{gas}}{dt} - 4\mu \frac{\dot{R}}{R}-\frac{2\sigma}{R}
\label{RP}
\end{equation}
\lipsum
For more contextual information on the bubble dynamic phenomena, please see the following sources: \cite{Hilgenfeldt1998}, \cite{Kreider2011}, and \cite{Lohse2003}.
\section{Questions}
This section answers the individual questions of the project description. For each question, provide an answer and short analysis.
\subsection*{Question 1}
\subsubsection*{(a)} References to equations can be written out in latex \eqref{RP}. Similarly, figures \ref{goose} may also be referenced.
\subsubsection*{(b)} Citations require the mybib.tex file to be extended with the desired references. Students can use JabRef (\url{http://www.jabref.org}) to construct the mybib.bib file. Students are invited to link their Mendelay, CiteULike and Zotero account directly to Overleaf.
% * <jean-pierre.hickey@uwaterloo.ca> 2017-10-30T17:33:48.846Z:
%
% ^.
\vfill
\section*{Students' contributions}
Mr. Goose and Mrs. Goose worked together to understand the problem and write the numerical codes. The summary of the problem and Q2 were written up by Mr. Goose, Q1 and Q3 were completed by Mrs. Goose. Both students corrected the final report.
\newpage
\bibliography{mybib}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
```