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% Sample University of Calgary Thesis
% This file contains CHAPTER TWO
\chapter{Important Results}
\section{The first result}
\begin{thm}[Residue Theorem]
Let $f$ be analytic in the region $G$ except for the isolated
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed
rectifiable curve in $G$ which does not pass through any of the
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
\frac{1}{2\pi i}\int_\gamma\! f = \sum_{k=1}^m
n(\gamma;a_k)\mathop{\mathrm{Res}}(f;a_k)\,.
\]
\end{thm}
\blindtext\footnote{\blindtext}
\begin{figure}
\[ \circ \to \circ \]
\caption{Circles and arrows}
\end{figure}
\section{The second result}
\subsection{The first half}
\blindtext\pagenote{\blindtext}
\subsection{The second half}
\blindtext
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