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first PTX files #1

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4 changes: 4 additions & 0 deletions ptx/bibliography.ptx
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<references>
<title>Bibliography</title>
</references>
12 changes: 12 additions & 0 deletions ptx/chapter1.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>Brief Review</title>
<xi:include href="section1-1.ptx" />
<xi:include href="section1-2.ptx" />
<xi:include href="section1-3.ptx" />
<xi:include href="section1-4.ptx" />
<xi:include href="section1-5.ptx" />
<xi:include href="section1-6.ptx" />
</chapter>

13 changes: 13 additions & 0 deletions ptx/chapter2.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>Functions and Change</title>
<xi:include href="section2-1.ptx" />
<xi:include href="section2-2.ptx" />
<xi:include href="section2-3.ptx" />
<xi:include href="section2-4.ptx" />
<xi:include href="section2-5.ptx" />
<xi:include href="section2-6.ptx" />
<xi:include href="section2-7.ptx" />
</chapter>

11 changes: 11 additions & 0 deletions ptx/chapter3.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>The Derivative</title>
<xi:include href="section3-1.ptx" />
<xi:include href="section3-2.ptx" />
<xi:include href="section3-3.ptx" />
<xi:include href="section3-4.ptx" />
<xi:include href="section3-5.ptx" />
</chapter>

10 changes: 10 additions & 0 deletions ptx/chapter4.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>Rules for Derivatives</title>
<xi:include href="section4-1.ptx" />
<xi:include href="section4-2.ptx" />
<xi:include href="section4-3.ptx" />
<xi:include href="section4-4.ptx" />
</chapter>

12 changes: 12 additions & 0 deletions ptx/chapter5.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>Using the Derivative</title>
<xi:include href="section5-1.ptx" />
<xi:include href="section5-2.ptx" />
<xi:include href="section5-3.ptx" />
<xi:include href="section5-4.ptx" />
<xi:include href="section5-5.ptx" />
<xi:include href="section5-6.ptx" />
</chapter>

11 changes: 11 additions & 0 deletions ptx/chapter6.ptx
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<chapter xmlns:xi="http://www.w3.org/2001/XInclude" >
<title>Accumulated Change: the Definite Integral</title>
<xi:include href="section6-1.ptx" />
<xi:include href="section6-2.ptx" />
<xi:include href="section6-3.ptx" />
<xi:include href="section6-4.ptx" />
<xi:include href="section6-5.ptx" />
</chapter>

145 changes: 145 additions & 0 deletions ptx/index.ptx
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<?xml version="1.0" encoding="UTF-8" ?>
<mathbook xmlns:xi="http://www.w3.org/2001/XInclude" xml:lang="en-US">
<docinfo>
<macros>
\newcommand{\markpoint}{node[point]{}}
\renewcommand{\arraystretch}{1.5}
\newcommand{\deriv}[2]{\frac{d#1}{d#2}}
\renewcommand{\arraystretch}{10}
\newcommand{\ddx}{\deriv {}x}
\deflocal maximum{at $x=c$ if $f(c) \ge f(x)$ for $x$ near $c$.}
\newcommand{\ddq}{\deriv {}q}
\deflocal minimum{at $x=c$ if $f(c) \le f(x)$ for $x$ near $c$.}
\newcommand{\ddt}{\deriv {}t}
\defcritical point{of a function $f$ if either}
\newcommand{\dx}{\,dx}
\defcritical number{of $f$.\\}
\newcommand{\du}{\,du}
\defcritical value{of $f$. }
\newcommand{\sfrac}[2]{\frac{\,#1\,}{#2}}
\definflection point{for a function $f(x)$ is a point on the}
\newcommand{\inv}{^{-1}}
\defelasticity{$E$ defined as}
\newcommand{\eval}{\Big|}
\defelastic demand{\\}
\newcommand{\abs}[1]{\left\lvert {#1} \right\rvert}
\definelastic demand{\end{itemize}}
\newcommand{\inside}[1]{{\color{insidecolor}#1}}
\newcommand{\chain}[4][(0ex,0ex)]{
\begin{tikzpicture}[every node/.style={font=\normalsize}]
\node[name = lhs, anchor = base west] at (0,0) {$#2=$};
\node[name = outside, anchor = base west, node distance = 0pt, inner sep = 0pt]
at (lhs.base east) {$\color{outsidecolor}#3$};
\node[name = deriv inside, anchor = base west, node distance = 0pt, inner sep = 0pt]
at (outside.base east) {${}\cdot {\color{derivcolor}#4}$};
\node[name = outside target] at (outside.south west){};
\node[shift={#1},name = inside target] at (outside.south){};
\node[name = deriv inside target] at (deriv inside.south){};
\node[name = text for outside, node distance = 2cm, below left of = outside target] {\begin{tabular}{c}deriv. of\\ outside\end{tabular}};
\node[name = text for inside, node distance = 2cm, below of = inside target] {\begin{tabular}{c}don't\\ change\\inside\end{tabular}};
\node[name = text for deriv inside, node distance = 2cm, below right of = deriv inside target] {\begin{tabular}{c}deriv. of\\ inside\end{tabular}};
\draw[->] (text for outside) -- (outside target.south west);
\draw[->] (text for inside) -- (inside target);
\draw[->] (text for deriv inside) -- (deriv inside target);
\end{tikzpicture}
}
\newcommand{\lnchain}[4][(0ex,0ex)]{
\begin{tikzpicture}[every node/.style={font=\normalsize}]
\node[name = lhs, anchor = base west] at (0,0) {$#2=$};
\node[name = outside, anchor = base west, right of = lhs, inner sep = 0pt] at (lhs.base east) {$\color{outsidecolor}#3$};
\node[name = deriv inside, anchor = base west, node distance = 0pt, inner sep = 0pt, ] at (outside.base east) {${}\cdot {\color{derivcolor}#4}$};
\node[name = outside target] at (outside.west){};
\node[shift={#1},name = inside target] at (outside.south){};
\node[name = deriv inside target] at (deriv inside.south){};
\node[name = text for outside, node distance = 2cm, below left of = outside target] {\begin{tabular}{c}deriv. of\\ outside\end{tabular}};
\node[name = text for inside, node distance = 2cm, below of = inside target] {\begin{tabular}{c}don't\\ change\\inside\end{tabular}};
\node[name = text for deriv inside, node distance = 2cm, below right of = deriv inside target] {\begin{tabular}{c}deriv. of\\ inside\end{tabular}};
\draw[->,bend right] (text for outside) -- (outside target.west);
\draw[->] (text for inside) -- (inside target);
\draw[->] (text for deriv inside) -- (deriv inside target);
\end{tikzpicture}
}
\newcommand{\IncreaseStraight}{\begin{tikzpicture}[very thick,baseline=0.5cm]
\draw[scale=0.9] (0,0) -- (1,1);
\end{tikzpicture}}
\newcommand{\IncreaseConcaveUp}{\begin{tikzpicture}[very thick,baseline=0.35cm]
\draw (0,0) arc (280:350:1);
\end{tikzpicture}}
\newcommand{\IncreaseConcaveDown}{\begin{tikzpicture}[very thick,baseline=-0.5cm]
\draw[scale=-1] (0,0) arc (280:350:1);
\end{tikzpicture}}
\newcommand{\DecreaseStraight}{\begin{tikzpicture}[very thick,baseline=-0.5cm]
\draw[scale=0.9] (0,0) -- (1,-1);
\end{tikzpicture}}
\newcommand{\DecreaseConcaveUp}{\begin{tikzpicture}[very thick,baseline=-0.5cm]
\draw (0,0) arc (190:260:1);
\end{tikzpicture}}
\newcommand{\DecreaseConcaveDown}{\begin{tikzpicture}[very thick,baseline=0.35cm]
\draw[scale=-1] (0,0) arc (190:260:1);
\end{tikzpicture}}
\newcommand{\GenericConcaveDown}{\begin{tikzpicture}[very thick]
\draw (0,0) parabola bend (0.5,0.5) (1,0);
\end{tikzpicture}}
\newcommand{\GenericConcaveUp}{\begin{tikzpicture}[very thick,yscale=-1]
\draw (0,0) parabola bend (0.5,0.5) (1,0);
\end{tikzpicture}}
\newcommand{\blank}{\underline{\hspace{0.5in}}}
\newcommand{\def}[1]{\textbf{#1}}
\newcommand{\handoutpagebreak}{}
\newcommand{\graphlabel}[2]{\makebox[0in][r]{#1}{#2}}
\newcommand{\handoutfill}{}
\newcommand{\handoutitemsep}{}
\newcommand{\handoutpagebreak}{}
\newcommand{\graphlabel}[2]{#2}
\newcommand{\handoutfill}{\vfill}
\newcommand{\handoutitemsep}{\itemsep=\fill}
</macros>

<latex-image-preamble>
\usepackage{tikz}
\usepackage{tkz-graph}
\usepackage{tkz-euclide}
\usetikzlibrary{patterns}
\usetikzlibrary{positioning}
\usetikzlibrary{matrix,arrows}
\usetikzlibrary{calc}
\usetikzlibrary{shapes}
\usetikzlibrary{through,intersections,decorations,shadows,fadings}

\usepackage{pgfplots}

</latex-image-preamble>

</docinfo>


<book>
<title>\Huge MA 151: Applied Calculus</title>
<frontmatter>
<titlepage>
<author>
<personname>Dr.\ W. Ethan Duckworth</personname>
</author>
</titlepage>
</frontmatter>


<xi:include href="./chapter1.ptx" />

<xi:include href="./chapter2.ptx" />

<xi:include href="./chapter3.ptx" />

<xi:include href="./chapter4.ptx" />

<xi:include href="./chapter5.ptx" />

<xi:include href="./chapter6.ptx" />

<backmatter>

<xi:include href="./bibliography.ptx" />

</backmatter>
</book>
</mathbook>
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