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\documentclass[12pt,oneside]{book}
\def\ShowSoln{0}
\usepackage[toc,page]{appendix}
\usepackage{marginnote}
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\newcommand{\st}[1]{\quad\text{such that}\quad}
\newcommand{\conj}[1]{\quad\text{#1}\quad}
\newcommand{\ra}{\quad\Rightarrow\quad}
\newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\pdd}[2]{\frac{\partial^2 #1}{\partial #2^2}}
\newcommand{\pddm}[3]{\frac{\partial^2 #1}{\partial #2 \partial #3}}
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\renewcommand{\Re}{\mathbb{R}}
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% \usepackage{pdiag}
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linkcolor=darkblue,
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% pagecolor=darkblue,
urlcolor=darkblue
% pdftitle={},
% pdfauthor={}
}
\usepackage{fancyhdr}
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\lhead{\leftmark}
\chead{}
\rhead{\thepage \ifnum\ShowSoln=1 {\color{red} {\bf Solutions}} \fi}
\lfoot{\includegraphics[width=1.5cm]{CreativeCommons.png}}
\cfoot{}
\rfoot{}
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\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
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\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
% \newtheorem{definition}[theorem]{Definition}
% \newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
\newtheorem{journal}[theorem]{Journal}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{prob}[theorem]{Problem}
\newtheorem{chal}[theorem]{Challenge}
% \newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{summary}[theorem]{Summary}
\newtheorem{skeleton}[theorem]{Skeleton Proof}
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{\begin{mdframed}[backgroundcolor=black!10]\begin{ex}}
{\end{ex}\end{mdframed}}
\newtheorem{homework}[theorem]{Homework Exercise}
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\newcommand{\solution}[1]{\ifnum\ShowSoln=1 {\color{red} {\bf Solution:} #1}\fi}
\newcommand{\hint}[1]{\ifnum\ShowSoln=1 {\color{blue} {\bf Hint:} #1}\fi}
\newcommand{\teacher}[1]{\ifnum\ShowSoln=1 {\color{blue} {\bf Teacher Note:} #1}\fi}
\usetikzlibrary{shapes.geometric, arrows}
\tikzstyle{boxy} = [rectangle, rounded corners, minimum width=3cm, minimum
height=1cm,text centered, draw=black, fill=green!30]
\tikzstyle{boxysoln} = [rectangle, rounded corners, minimum width=3cm, minimum
height=1cm,text centered, draw=black, fill=red!30]
\tikzstyle{arrow} = [thick,->,>=stealth]
\tikzstyle{arrowdashed} = [thick,dashed,->,>=stealth]
\title{Differential Equations \& Linear Algebra \\ An Inquiry and Problem Based Approach
\\ {\small (The Second Course of a Two-Semester Sequence)}
\ifnum\ShowSoln=1 {\color{red} \\ {\bf Solutions}} \fi}
\date{Content Last Updated: \today}
\author{Dr. Eric R. Sullivan \\ \texttt{esullivan@carroll.edu}\\ Department of
Mathematics \\
Carroll College, Helena, MT \\
% This work is licensed under
% \href{https://creativecommons.org/licenses/by-nc-sa/4.0/}{Creative Commons:
% NonCommercial-ShareAlike}\\
\includegraphics{CreativeCommons.png} \\\vspace{3in}
}
\begin{document}
\maketitle
% \html{<a rel=``license'' href=``http://creativecommons.org/licenses/by-nc-sa/4.0/''><img
% alt=``Creative Commons License'' style=``border-width:0''
% src=``https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png'' /></a><br /><span
% xmlns:dct=``http://purl.org/dc/terms/'' href=``http://purl.org/dc/dcmitype/Text''
% property=``dct:title'' rel=``dct:type''>Differential Equations and Linear
% Algebra</span> by <span xmlns:cc=``http://creativecommons.org/ns#''
% property=``cc:attributionName''>Eric R. Sullivan</span> is licensed under a <a
% rel=``license'' href=``http://creativecommons.org/licenses/by-nc-sa/4.0/''>Creative
% Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.}
% \vspace{0.2in}
\newpage
\noindent \copyright Eric Sullivan. Some Rights Reserved.
\vspace{0.2in}
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0
International License.
You may copy, distribute, display, remix, rework, and perform this copyrighted work, but only if
you give credit to Eric Sullivan, and all derivative works based upon it must be published
under the Creative Commons Attribution-NonCommercial-Share Alike 4.0 United States License. Please
attribute this work to Eric Sullivan, Mathematics Faculty at Carroll College,
esullivan@carroll.edu. To view a copy of this license, visit\\
\href{https://creativecommons.org/licenses/by-nc-sa/4.0/}{https://creativecommons.org/licenses/by-nc-sa/4.0/}\\
or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco,
California, 94105, USA.
\tableofcontents
\input{Ch00_Preface.tex}
\input{Ch01_FirstOrder.tex}
\input{Ch02_QualitativeNumerical.tex}
\input{Ch03_Matrices.tex}
\input{Ch04_VectorSpaces.tex}
\input{Ch05_GeometryOfVectorSpaces.tex}
\input{Ch06_Eigen.tex}
\input{Ch07_SecondOrder.tex}
\input{Ch08_SystemsOfODEs.tex}
\input{Ch09_NonlinearSystems.tex}
\input{Ch10_LaplaceTransforms.tex}
% \input{Ch11_FourierTransforms.tex}
\input{Ch12_PowerSeries.tex}
\input{Ch13_PDEs.tex}
\begin{appendices}
\input{App_PartialFractions.tex}
\input{App02_Coding.tex}
\input{App03_LaTeX.tex}
\input{App04_Misc.tex}
\end{appendices}
\begin{thebibliography}{99}
\bibitem{Penney} C. Edwards and D. Penney. {\it Differential Equations and Linear Algebra
3ed.} Pearson Eduction Inc. Upper Saddle River, New Jersey, 2010
\bibitem{Haberman} R. Haberman. {\it Applied Partial Differential Equations,
4ed}. Pearson Education Inc. Upper Saddle River, New Jersey, 2004
\bibitem{Judson} T. Judson. {\it The Ordinary Differential Equations Project}.
\href{http://faculty.sfasu.edu/judsontw/ode/html/odeproject.html}{faculty.sfasu.edu/judsontw/ode/html/odeproject.html}
\bibitem{Lay} D. Lay. {\it Linear Algebra 4ed.} Pearson Education Inc. Upper
Saddle River, New Jersey, 2012.
\bibitem{Noonburg} V. Noonburg {\it Ordinary Differential Equations, From Calculus
to Dynamical Systems.} The Mathematical Association of America, 2014.
\bibitem{Woodruff} B. Woodruff. {\it Differential Equations with Linear Algebra An
Inquiry Based Approach to Learning}. Creative Commons.
\\\href{https://content.byui.edu/file/664390b8-e9cc-43a4-9f3c-70362f8b9735/1/316-IBL\%20(2013Spring).pdf}{https://content.byui.edu/file/664390b8-e9cc-43a4-9f3c-70362f8b9735/1/316-IBL\%20(2013Spring).pdf}
\bibitem{carpet} Megan Wawro , Chris Rasmussen , Michelle Zandieh , George
Franklin Sweeney \& Christine Larson (2012) {\it An Inquiry-Oriented Approach to Span
and Linear Independence: The Case of the Magic Carpet Ride Sequence}, PRIMUS, 22:8,
577-599, DOI: 10.1080/10511970.2012.667516
\end{thebibliography}
\end{document}
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