Homework template for UW AMATH 582 Winter Quarter 2020
\begin
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\documentclass{article}
% If you're new to LaTeX, here's some short tutorials:
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\usepackage[utf8]{inputenc}
\usepackage[margin=1in]{geometry}
\usepackage[titletoc,title]{appendix}
% Math
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\usepackage{amsmath,amsfonts,amssymb,mathtools}
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\usepackage{graphicx,float}
% Tables
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% Algorithms
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\usepackage[ruled,vlined]{algorithm2e}
\usepackage{algorithmic}
% Code syntax highlighting
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\usepackage{minted}
\usemintedstyle{borland}
% References
% https://www.overleaf.com/learn/latex/Bibliography_management_in_LaTeX
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\usepackage{biblatex}
\addbibresource{references.bib}
% Title content
\title{AMATH 582 Homework 1}
\author{Your Name}
\date{January 24, 2020}
\begin{document}
\maketitle
% Abstract
\begin{abstract}
Add your abstract here.
\end{abstract}
% Introduction and Overview
\section{Introduction and Overview}
Add your introduction and overview here.
% Example Subsection
\subsection{Subsection Title}
This is a subsection.
% Example Subsubsection
\subsubsection{Subsubsection Title}
This is a subsubsection.
% Theoretical Background
\section{Theoretical Background}
Add your theoretical background here. Some example text: As we learned from our textbook \cite{kutz_2013}, Fourier introduced the concept of representing a given function $f(x)$ by a trigonometric series of sines and cosines:
\begin{equation}
f(x) = \frac{a_0}{2} + \sum_{i=1}^\infty \left(a_n\cos{nx} + b_n\sin{nx}\right) \quad x \in (-\pi,\pi].
\label{eqn:fourierseries}
\end{equation}
You can reference numbered equations, figures, tables, algorithms, and code like this: Equation~\ref{eqn:fourierseries}, etc.
% Algorithm Implementation and Development
\section{Algorithm Implementation and Development}
Add your algorithm implementation and development here. See Algorithm~\ref{alg:example} for how to include an algorithm in your document. This is how to make an \textit{ordered} list:
\begin{enumerate}
\item Fluffy swallowed a marble.
\item I took Fluffy to the vet.
\item They took an ultrasound of Fluffy's intestines.
\end{enumerate}
\begin{algorithm}
\begin{algorithmic}
\STATE{Import data from \texttt{Testdata.mat}}
\FOR{$j = 1:20$}
\STATE{Extract measurement $j$ from \texttt{Undata}}
\STATE{Do something useful}
\ENDFOR
\IF{$i\geq 5$}
\STATE{$i\gets i-1$}
\ELSE
\IF{$i\leq 3$}
\STATE{$i\gets i+2$}
\ENDIF
\ENDIF
\end{algorithmic}
\caption{Example Algorithm}
\label{alg:example}
\end{algorithm}
% Computational Results
\section{Computational Results}
Add your computational results here. See Table~\ref{tab:mascots} for how to include a table in your document. See Figure~\ref{fig:dubs} for how to include figures in your document.
\begin{table}
\centering
\begin{tabular}{rll}
& Name & Years \\
\hline
1 & Frosty & 1922-1930 \\
2 & Frosty II & 1930-1936 \\
3 & Wasky & 1946 \\
4 & Wasky II & 1947 \\
5 & Ski & 1954 \\
6 & Denali & 1958 \\
7 & King Chinook & 1959-1968\\
8 & Regent Denali & 1969 \\
9 & Sundodger Denali & 1981-1992 \\
10 & King Redoubt & 1992-1998 \\
11 & Prince Redoubt & 1998 \\
12 & Spirit & 1999-2008 \\
13 & Dubs I & 2009-2018 \\
14 & Dubs II & 2018-Present
\end{tabular}
\caption{UW mascots as described in \cite{washington_huskies}.}
\label{tab:mascots}
\end{table}
% begin{figure}[tb] % t = top, b = bottom, etc.
\begin{figure}
\centering
\includegraphics[width=0.5\linewidth]{dubs.jpg}
\caption{Here is a picture of Dubs \cite{webeck_2018}. Dubs did not swallow a marble.}
\label{fig:dubs}
\end{figure}
% Summary and Conclusions
\section{Summary and Conclusions}
Add your summary and conclusions here.
% References
\printbibliography
% Appendices
\begin{appendices}
% MATLAB Functions
\section{MATLAB Functions}
Add your important MATLAB functions here with a brief implementation explanation. This is how to make an \textbf{unordered} list:
\begin{itemize}
\item \texttt{y = linspace(x1,x2,n)} returns a row vector of \texttt{n} evenly spaced points between \texttt{x1} and \texttt{x2}.
\item \texttt{[X,Y] = meshgrid(x,y)} returns 2-D grid coordinates based on the coordinates contained in the vectors \texttt{x} and \texttt{y}. \text{X} is a matrix where each row is a copy of \texttt{x}, and \texttt{Y} is a matrix where each column is a copy of \texttt{y}. The grid represented by the coordinates \texttt{X} and \texttt{Y} has \texttt{length(y)} rows and \texttt{length(x)} columns.
\end{itemize}
% MATLAB Codes
\section{MATLAB Code}
Add your MATLAB code here. This section will not be included in your page limit of six pages.
\begin{listing}[h]
\inputminted{matlab}{example.m}
\caption{Example code from external file.}
\label{listing:examplecode}
\end{listing}
\end{appendices}
\end{document}