AMATH582 homework template
Author:
Kelsey Maass
Last Updated:
5년 전
License:
Creative Commons CC BY 4.0
Abstract:
Homework template for UW AMATH 582 Winter Quarter 2020
\begin
Discover why 18 million people worldwide trust Overleaf with their work.
Homework template for UW AMATH 582 Winter Quarter 2020
\begin
Discover why 18 million people worldwide trust Overleaf with their work.
\documentclass{article}
% If you're new to LaTeX, here's some short tutorials:
% https://www.overleaf.com/learn/latex/Learn_LaTeX_in_30_minutes
% https://en.wikibooks.org/wiki/LaTeX/Basics
% Formatting
\usepackage[utf8]{inputenc}
\usepackage[margin=1in]{geometry}
\usepackage[titletoc,title]{appendix}
% Math
% https://www.overleaf.com/learn/latex/Mathematical_expressions
% https://en.wikibooks.org/wiki/LaTeX/Mathematics
\usepackage{amsmath,amsfonts,amssymb,mathtools}
% Images
% https://www.overleaf.com/learn/latex/Inserting_Images
% https://en.wikibooks.org/wiki/LaTeX/Floats,_Figures_and_Captions
\usepackage{graphicx,float}
% Tables
% https://www.overleaf.com/learn/latex/Tables
% https://en.wikibooks.org/wiki/LaTeX/Tables
% Algorithms
% https://www.overleaf.com/learn/latex/algorithms
% https://en.wikibooks.org/wiki/LaTeX/Algorithms
\usepackage[ruled,vlined]{algorithm2e}
\usepackage{algorithmic}
% Code syntax highlighting
% https://www.overleaf.com/learn/latex/Code_Highlighting_with_minted
\usepackage{minted}
\usemintedstyle{borland}
% References
% https://www.overleaf.com/learn/latex/Bibliography_management_in_LaTeX
% https://en.wikibooks.org/wiki/LaTeX/Bibliography_Management
\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}