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fixing latexml bugs
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teepeemm committed Oct 27, 2021
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2 changes: 2 additions & 0 deletions apexNotes.txt
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Expand Up @@ -4,6 +4,7 @@
3.5 KI 1 break p2 ?
4.2 colors ?
5.4 Ex 3 h spacing ?
7.1: one-to-one V. 15.5: one to one
12.3 F 5a color
13.2 T3 break p2 ?
14.7 T3 break p2 ?
Expand Down Expand Up @@ -69,6 +70,7 @@ My to do:
use subfig

| to norm/abs
Mathtools?
Watch out for extra !
unitfrac/siunitx(?) (or at least spaces before units). search:
egrep -c '\dft\W' text/*tex | grep -v ':0$'
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7 changes: 7 additions & 0 deletions latexmlAlts.tex
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Expand Up @@ -112,4 +112,11 @@

A reference to \ref{probone} should have no decimal after number.

Stuff $\left\{\rule{0pt}{12pt}\right\}$. $\underbrace{\makebox[1.8cm]{}}_a$.

\begin{tabular}{cc}
here & \multirow{1.5}{*}{should be at the bottom}
% see https://tex.stackexchange.com/a/364935/107497
\end{tabular}

\end{document}
10 changes: 6 additions & 4 deletions standalone.tex
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Expand Up @@ -23,19 +23,21 @@

\mainmatter

\setcounter{chapter}{10}
\setcounter{chapter}{4}

\setcounter{section}{1}
\setcounter{section}{2}

%\apexchapter[text/01_Prerequisite]{Limits}{ch:label}

%This chapter introduces \textbf{sequences} and \textbf{series}, important mathematical constructions that are useful when solving a large variety of mathematical problems. The content of this chapter is considerably different from the content of the chapters before it. While the material we learn here definitely falls under the scope of ``calculus,'' we will make very little use of derivatives or integrals. Limits are extremely important, though, especially limits that involve infinity.
%
%One of the problems addressed by this chapter is this: suppose we know information about a function and its derivatives at a point, such as $f(1) = 3$, $\fp(1) = 1$, $\fp'(1) = -2$, $\fp''(1) = 7$, and so on. What can I say about $f(x)$ itself? Is there any reasonable approximation of the value of $f(2)$? The topic of Taylor Series addresses this problem, and allows us to make excellent approximations of functions when limited knowledge of the function is available.

\input{text/09_Parametric_Equations}
%\apexchapter[text/09_Conic_Sections]{Curves in the Plane}{chapter:planar_curves}

\printexercises{exercises/14-03-exercises}
\input{text/07_Shell_Method}

%\printexercises{exercises/14-03-exercises}

%\printexercises{standalone/standalone_exercises}

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2 changes: 1 addition & 1 deletion text/04_Differentials.tex
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Expand Up @@ -92,7 +92,7 @@ \section{Differentials}\label{sec:differentials}
\draw(axis cs:.3,.09)
--node[pos=.6,above,yshift=-.5ex]{\scriptsize $\dd x=\Delta x$}(axis cs:.8,.09)
--node[pos=.3,right,xshift=-.3em]{$\Big\}\scriptstyle \dd y$}
node[pos=.5,right,xshift=1em]{$\left.\rule{0pt}{5ex}\right\}\scriptstyle \Delta y$}(axis cs:.8,.64);
node[pos=.5,right,xshift=1em]{$\ifbool{latexml}{\Bigg\}}{\left.\rule{0pt}{5ex}\right\}}\scriptstyle \Delta y$}(axis cs:.8,.64);
\end{axis}
\node [right] at (myplot.right of origin) {\scriptsize $x$};
\node [above] at (myplot.above origin) {\scriptsize $y$};
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6 changes: 5 additions & 1 deletion text/07_Fluid_Force.tex
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Expand Up @@ -138,7 +138,11 @@ \section{Fluid Forces}\label{sec:fluid_force}
\begin{scope}
\draw [thick] (0,0) -- (1,2) -- (2,2) -- (4,0)--cycle;
\draw [draw={\colortwo},fill={\colortwofill},thick] (.5,.9) rectangle (3,1.1);
\draw (3,1) node [right] {\scriptsize $\left. \rule{0pt}{.2cm}\right\}\Delta y_i$};
\ifbool{latexml}{
\draw (3,1) node [right] {$\scriptstyle\}\Delta y_i$};
}{
\draw (3,1) node [right] {\scriptsize $\left. \rule{0pt}{.2cm}\right\}\Delta y_i$};
}
\draw (.5,.5) -- (.5,.7)
(3,.5) -- (3,.7)
(.5,.6) -- node [pos=.5,below,] {\scriptsize $\ell(c_i)$} (3,.6);
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2 changes: 1 addition & 1 deletion text/07_Inverse_Functions.tex
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Expand Up @@ -4,7 +4,7 @@ \section{Inverse Functions}\label{sec:inv_funcs}
%Functions that are not one-to-one may sometimes have inverses on part of their domains.
%
%If $f$ and $g$ are inverses, the domain of $g$ will be the range of $f$ and the range of $g$ will be the domain of $f$. The graphs of $f$ and $g$ will be reflections of each other across the line $y=x$ since $y=f(x)$ if and only if $x=g(y)$ (since the point $(y,x)$ is on the graph of $g$ whenever $(x,y)$ is on the graph of $f$.)
The inverse of $f$ is denoted $f^{-1}$, which should not be confused with the function $1/f(x)$.
The inverse of $f$ is denoted $f^{-1}$, which should not be confused with the function $1/f(x)$.\index{one to one}

\begin{keyidea}[Inverse Functions]\label{ki_inv_funcs}
For a one-to–one function $f$,
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36 changes: 22 additions & 14 deletions text/07_Shell_Method.tex
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Expand Up @@ -131,7 +131,7 @@ \section{The Shell Method}\label{sec:shell_method}
\addplot [draw={\coloronefill},thick,smooth,domain=0:1,fill={\coloronefill}] plot {(1/(1+x^2))} -- (axis cs:1,0) -- (axis cs:0,0) -- cycle;
\addplot [draw={\colorone},thick,smooth,domain=0:1] plot {(1/(1+x^2))};
\draw [thick,draw={\colortwo}] (axis cs:.4,0) -- (axis cs:.4,.86);
\draw (axis cs:.4,.45) node [left] {\scriptsize$ h(x)\left\{\rule{0pt}{33pt}\right.$}
\draw (axis cs:.4,.45) node [left] {$\scriptstyle h(x)\ifbool{latexml}{\Bigg\{}{\left\{\rule{0pt}{33pt}\right.}$}
(axis cs:.2,-.12) node {\scriptsize $\underbrace{\makebox[35pt]{}}_{r(x)}$}
(axis cs: .7,1) node {\scriptsize $\ds y=\frac{1}{1+x^2}$};
\end{axis}
Expand Down Expand Up @@ -168,7 +168,7 @@ \section{The Shell Method}\label{sec:shell_method}
\draw [draw={\colorone},thick,smooth,,fill={\coloronefill}] (axis cs:0,1) -- node [black,rotate=57,pos=.5,above] {\scriptsize $y=2x+1$} (axis cs:1,3) -- (axis cs: 1,1) -- cycle;
\draw [dashed] (axis cs:3,0) -- (axis cs:3,3.2);
\draw [thick,draw={\colortwo}] (axis cs: .4,1) -- (axis cs:.4,1.8);
\draw(axis cs:1,1.4)node [right] {\scriptsize$ \left.\rule{0pt}{14pt}\right\} h(x).$}
\draw(axis cs:1,1.4)node [right] {$\scriptstyle\ifbool{latexml}{\bigg\}}{\left.\rule{0pt}{14pt}\right\}} h(x).$}
(axis cs:1.7,.7) node { $\underbrace{\makebox[100pt]{}}_{r(x)}$};
\end{axis}
\node [right] at (myplot.right of origin) {\scriptsize $x$};
Expand Down Expand Up @@ -216,7 +216,7 @@ \section{The Shell Method}\label{sec:shell_method}
ymin=-.2,ymax=3.25,xmin=-.15,xmax=1.5,]
\draw [draw={\colorone},thick,smooth,,fill={\coloronefill}] (axis cs:0,1) -- node [black,rotate=41,pos=.5,above] {\scriptsize $x=\frac12y-\frac12$} (axis cs:1,3) -- (axis cs: 1,1) -- cycle;
\draw [thick,draw={\colortwo}] (axis cs: .4,1.8) -- node [black,pos=.5,below] {$\underbrace{\makebox[42pt]{}}_{h(y)}$} (axis cs:1,1.8);
\draw (axis cs:1,.9) node [right] {\scriptsize$ \left.\rule{0pt}{29pt}\right\} r(y)$};
\draw (axis cs:1,.9) node [right] {$\scriptstyle\ifbool{latexml}{\Bigg\}}{\left.\rule{0pt}{29pt}\right\}} r(y)$};
\end{axis}
\node [right] at (myplot.right of origin) {\scriptsize $x$};
\node [above] at (myplot.above origin) {\scriptsize $y$};
Expand Down Expand Up @@ -278,8 +278,8 @@ \section{The Shell Method}\label{sec:shell_method}
\addplot [draw={\colorone},smooth,thick,domain=0:3] {3*x-x^2};
\addplot[draw={\colorone},smooth,thick,domain=0:3] {x};
\draw [thick,draw={\colortwo}] (axis cs: 1,1) -- (axis cs:1,2);
\draw (axis cs: .9,1.5) node[right]{\scriptsize$ \left.\rule{0pt}{22pt}\right\} h(x)$};
\draw (axis cs:.5,1.1) node [below] {$\underbrace{\makebox[35pt]{}}_{r(x)}$} ;
\draw (axis cs: .9,1.5) node[right]{$\scriptstyle\ifbool{latexml}{\Bigg\}}{\left.\rule{0pt}{20pt}\right\}} h(x)$};
\draw (axis cs:.5,1.1) node [below] {$\underbrace{\makebox[30pt]{}}_{r(x)}$} ;
\end{axis}
\node [right] at (myplot.right of origin) {\scriptsize $x$};
\node [above] at (myplot.above origin) {\scriptsize $y$};
Expand Down Expand Up @@ -373,7 +373,7 @@ \section{The Shell Method}\label{sec:shell_method}
\node at(axis cs:.25,2){$\underbrace{\makebox[30pt]{}}_{r(x)}$};
\addplot[draw={\colorone},smooth,thick,domain=0:1] {x^2+3};
\draw[thick,draw={\colortwo}] (axis cs: .5,2) -- (axis cs:.5,3.25)%;
node[color=black,right,pos=.5]{\scriptsize$ \left.\rule{0pt}{12pt}\right\} h(x)$};
node[color=black,right,pos=.5]{$\scriptstyle\ifbool{latexml}{\Bigg\}}{\left.\rule{0pt}{12pt}\right\}} h(x)$};
\end{axis}
\node [right] at (myplot.right of origin) {\scriptsize $x$};
\node [above] at (myplot.above origin) {\scriptsize $y$};
Expand All @@ -386,14 +386,22 @@ \section{The Shell Method}\label{sec:shell_method}
3Dcoo=5.665955543518066 74.65992736816406 -21.359724044799805,
3Droo=150}{width=\marginparwidth}{figures/shellwash}
&
\multirow{12.6}{*}{% see https://tex.stackexchange.com/a/364935/107497
\myincludeasythree{width=\marginparwidth,
3Droll=124.28706719451111,
3Dortho=0.003981335088610649,
3Dc2c=0.3404673635959625 0.24756169319152832 0.9070805907249451,
3Dcoo=-5.416632652282715 90.77053833007812 -22.686864852905273,
3Droo=150}{width=\marginparwidth}{figures/shellwash_b}%
}
\begingroup
\newcommand{\localimage}{%
\myincludeasythree{width=\marginparwidth,
3Droll=124.28706719451111,
3Dortho=0.003981335088610649,
3Dc2c=0.3404673635959625 0.24756169319152832 0.9070805907249451,
3Dcoo=-5.416632652282715 90.77053833007812 -22.686864852905273,
3Droo=150}{width=\marginparwidth}{figures/shellwash_b}%%
}
\ifbool{latexml}{
\localimage
}{
\multirow{12.6}{*}{\localimage}
% see https://tex.stackexchange.com/a/364935/107497
}
\endgroup
\smallskip\\(a)&(b)\smallskip\\
\begin{tikzpicture}
\begin{axis}[width=\marginparwidth,tick label style={font=\scriptsize},
Expand Down
6 changes: 5 additions & 1 deletion text/07_Work.tex
Original file line number Diff line number Diff line change
Expand Up @@ -198,7 +198,11 @@ \subsection{Pumping Fluids}
\draw (3,\y) node [right] {\scriptsize\x} arc (0:-180:3);
\draw [dashed] (3,\y) arc (0:180:3);
}
\draw (5.1,14) node {\scriptsize $\left.\rule{0pt}{.3cm}\right\}\Delta y_i$};
\ifbool{latexml}{
\draw (5.1,14) node {$\scriptstyle\Big\}\Delta y_i$};
}{
\draw (5.1,14) node {\scriptsize $\left.\rule{0pt}{.3cm}\right\}\Delta y_i$};
}
\draw [thick,left color={\colorone},right color={\coloronefill}]
(0,16) circle (3);
\draw [thick,left color={\colorone},right color={\coloronefill}]
Expand Down
28 changes: 17 additions & 11 deletions text/09_Conic_Sections.tex
Original file line number Diff line number Diff line change
Expand Up @@ -49,8 +49,8 @@ \subsection{Parabolas}
\filldraw [black] (0,1) circle (1.5pt) node [above left] {\scriptsize Focus};
\draw [thick,draw={\colortwo}](-3,2.25) parabola bend (0,0) (3,2.25);
\filldraw (0,0) circle (1.5pt) node [below left] {\scriptsize Vertex};
\draw (.3,.5) node[] {\scriptsize $\left.\rule{0pt}{12pt}\right\}p$};
\draw (.3,-.5) node[] {\scriptsize $\left.\rule{0pt}{12pt}\right\}p$};
\draw (.3,.5) node[] {$\biggr\}\scriptstyle p$};
\draw (.3,-.5) node[] {$\biggr\}\scriptstyle p$};
\coordinate (A) at (2.5,1.5625);
\filldraw [black] (A) circle (1.5pt) node [right] {\scriptsize $(x,y)$};
\draw [thick,dashed](0,1) -- (A) node [pos=.5,above] {\scriptsize $d$}
Expand All @@ -62,7 +62,10 @@ \subsection{Parabolas}

\autoref{fig:parabola_def} illustrates this definition. The point halfway between the focus and the directrix is the \textbf{vertex}. The line through the focus, perpendicular to the directrix, is the \textbf{axis of symmetry}, as the portion of the parabola on one side of this line is the mirror-image of the portion on the opposite side.

\iftoggle{abridgeConics}{}{%
\iftoggle{abridgeConics}{%
The geometric definition of the parabola and distance formula can be used to derive the quadratic function whose graph is a parabola with vertex at the origin.
\[y=\frac{1}{4p}x^2.\]
}{%
The definition leads us to an algebraic formula for the parabola. Let $P=(x,y)$ be a point on a parabola whose focus is at $F=(0,p)$ and whose directrix is at $y=-p$. (We'll assume for now that the focus lies on the $y$-axis; by placing the focus $p$ units above the $x$-axis and the directrix $p$ units below this axis, the vertex will be at $(0,0)$.)

We use the Distance Formula to find the distance $d_1$ between $F$ and $P$:
Expand All @@ -80,8 +83,6 @@ \subsection{Parabolas}
y&= \frac{1}{4p}x^2.
\end{align*}%
}
The geometric definition of the parabola and distance formula can be used to derive the quadratic function whose graph is a parabola with vertex at the origin.
\[y=\frac{1}{4p}x^2.\]
Applying transformations of functions we get the following standard form of the parabola.

\begin{keyidea}[General Equation of a Parabola]\label{idea:parabola}
Expand Down Expand Up @@ -209,16 +210,17 @@ \subsection{Ellipses}
\end{scope}
\end{tikzpicture}}

We can again find an algebraic equation for an ellipse using this geometric definition.
\iftoggle{abridgeConics}{}{%
We can again find an algebraic equation for an ellipse using this geometric definition. Let the foci be located along the $x$-axis, $c$ units from the origin. Let these foci be labeled as $F_1 = (-c,0)$ and $F_2=(c,0)$. Let $P=(x,y)$ be a point on the ellipse. The sum of distances from $F_1$ to $P$ ($d_1$) and from $F_2$ to $P$ ($d_2$) is a constant $d$. That is, $d_1+d_2=d$. Using the Distance Formula, we have
Let the foci be located along the $x$-axis, $c$ units from the origin. Let these foci be labeled as $F_1 = (-c,0)$ and $F_2=(c,0)$. Let $P=(x,y)$ be a point on the ellipse. The sum of distances from $F_1$ to $P$ ($d_1$) and from $F_2$ to $P$ ($d_2$) is a constant $d$. That is, $d_1+d_2=d$. Using the Distance Formula, we have
\[\sqrt{(x+c)^2+y^2} + \sqrt{(x-c)^2+y^2} = d.\]
Using a fair amount of algebra can produce the following equation of an ellipse (note that the equation is an implicitly defined function; it has to be, as an ellipse fails the Vertical Line Test):
\[
\frac{x^2}{\left(\frac d2\right)^2} + \frac{y^2}{\left(\frac d2\right)^2-c^2} = 1.
\]
This is not particularly illuminating, but by making the substitution $a=d/2$ and $b=\sqrt{a^2-c^2}$, we can rewrite the above equation as
\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1.\]
This is not particularly illuminating, but by making the substitution $a=d/2$ and $b=\sqrt{a^2-c^2}$, we can rewrite the above equation as
}
\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1.\]

As shown in \autoref{fig:ellipse_label}, the values of $a$ and $b$ have
% geometric
Expand All @@ -237,9 +239,13 @@ \subsection{Ellipses}
\draw [->,>=latex] (2,2) -- (-1.2,.1);
\draw [->,>=latex] (2,2) node [fill=white] {\scriptsize Foci} -- (1.3,.1);
\filldraw [draw={\colorone}] (2,0) circle (1.5pt) (-2,0) circle (1.5pt);
\draw (-1,-.25) node {\scriptsize $\underbrace{\makebox[1.8cm]{}}_a$};
\draw (.65,-.25) node {\scriptsize $\underbrace{\makebox[1.1cm]{}}_c$};
\draw (-.25,.75) node [] {\scriptsize $b\left\{\rule[-.65cm]{0pt}{1.3cm}\right.$};
\draw (-1,-.25) node {$\underbrace{\makebox[1.8cm]{}}_a$};
\draw (.65,-.25) node {$\underbrace{\makebox[1.1cm]{}}_c$};
\ifbool{latexml}{
\draw (-.25,.75) node [] {${\scriptstyle b}\Biggl\{$};
}{
\draw (-.25,.75) node [] {\scriptsize $b\left\{\rule[-.65cm]{0pt}{1.3cm}\right.$};
}
\end{tikzpicture}}

Allowing for the shifting of the ellipse gives the following standard equations.
Expand Down
20 changes: 16 additions & 4 deletions text/09_Polar_Intro.tex
Original file line number Diff line number Diff line change
Expand Up @@ -49,7 +49,7 @@ \subsection{Polar Coordinates}
\draw (\x,0) node [below right] {\x};
}
\end{tikzpicture}}%
\ifbool{latexml}{here.}{at the bottom of this page.}%
\ifbool{latexml}{here.\\}{at the bottom of this page.}%
%
\mtable{Plotting polar points in \autoref{ex_polar1}.}{fig:polar1}{\begin{tikzpicture}[scale=.75,>=latex]
\draw[thick,->] (0,0) node [below] {$O$} -- (3.5,0) ;
Expand Down Expand Up @@ -436,7 +436,11 @@ \subsection{Gallery of Polar Curves}
\draw [<->,] (-2.1,0) -- (2.1,0);
\draw [<->,] (0,-2.1) -- (0,2.1);
\draw [thick,draw={\colorone}] (-2,.6) -- (2,.6);
\draw (-.2,.3) node {\scriptsize $a\left\{\rule[-.23cm]{0pt}{.23cm}\right.$};
\ifbool{latexml}{
\draw (-.2,.3) node {$\scriptstyle a\big\{$};
}{
\draw (-.2,.3) node {\scriptsize $a\left\{\rule[-.23cm]{0pt}{.23cm}\right.$};
}
\end{tikzpicture}
&
\begin{tikzpicture}[scale=.9,>=stealth]
Expand All @@ -452,7 +456,11 @@ \subsection{Gallery of Polar Curves}
\draw [<->,] (0,-2.1) -- (0,2.1);
\draw [thick,draw={\colorone},shift={(0,.6)},rotate=50] (-2.1,0) -- (1.7,0)
node [pos=.82,rotate=50,black,shift={(0,-5pt)}] {\scriptsize slope $=m$};
\draw (.2,.3) node {\scriptsize $\left.\rule[-.23cm]{0pt}{.23cm}\right\}b$};
\ifbool{latexml}{
\draw (.2,.3) node {$\scriptstyle\big\}b$};
}{
\draw (.2,.3) node {\scriptsize $\left.\rule[-.23cm]{0pt}{.23cm}\right\}b$};
}
\end{tikzpicture}
%
\end{tabular}}
Expand Down Expand Up @@ -489,7 +497,11 @@ \subsection{Gallery of Polar Curves}
\draw [<->,] (-2.1,0) -- (2.1,0);
\draw [<->,] (0,-2.1) -- (0,2.1);
\draw [thick,draw={\colorone}] (0,.9) circle (.9);
\draw (-.2,.9) node {\scriptsize $a\left\{\rule[-.8cm]{0cm}{0.8cm}\right.$};
\ifbool{latexml}{
\draw (-.2,.9) node {$\scriptstyle a\Bigg\{$};
}{
\draw (-.2,.9) node {\scriptsize $a\left\{\rule[-.8cm]{0cm}{0.8cm}\right.$};
}
\end{tikzpicture}
&
\begin{tikzpicture}[scale=.9,>=stealth]
Expand Down
6 changes: 5 additions & 1 deletion text/10_Vector_Introduction.tex
Original file line number Diff line number Diff line change
Expand Up @@ -512,7 +512,11 @@ \section{An Introduction to Vectors}\label{sec:vector_intro}
%
\mtable{A figure of a weight being pushed by the wind in \autoref{ex_vect8}.}{fig:vect8}{\begin{tikzpicture}
\draw [dashed] (-1.5,-.2) -- (2,-.2);
\draw (1.75,.65) node {\scriptsize 2ft $\left\{\rule{0pt}{.8cm}\right.$};
\ifbool{latexml}{
\draw (1.75,.65) node {\scriptsize 2ft $\Bigg\{$};
}{
\draw (1.75,.65) node {\scriptsize 2ft $\left\{\rule{0pt}{.8cm}\right.$};
}
\filldraw[thick,black,fill=gray!30] (-.5,0) -- (.5,0) -- (1,-1) -- (-1,-1)--cycle;
\draw [thick] (-1.5,1.5) -- (2,1.5);
\draw [thick] (0,0) -- (-.51,1.5); % diagonal line ~ 110 degrees
Expand Down
1 change: 1 addition & 0 deletions text/14_Parametrized_Surfaces.tex
Original file line number Diff line number Diff line change
Expand Up @@ -4,6 +4,7 @@ \section{Parameterized Surfaces and Surface Area}\label{sec:parametric_surfaces}

\mnote{\textbf{Note:} We use the letter $S$ to denote Surface Area. This section begins a study into surfaces, and it is natural to label a surface with the letter ``S''. We distinguish a surface from its surface area by using a calligraphic S to denote a surface: \surfaceS. When writing this letter by hand, it may be useful to add serifs to the letter, such as: %
% todo Tim surely we can find a better serif S ?
% possibly {\fontfamily{lmr}\selectfont S or \emph{S}}
\begin{tikzpicture}[x={(.55ex,0)},y={(0,.55ex)}]
\draw[smooth, line width=.6pt] (0.9667,0.545) -- (0.8273,0.6541) -- (0.6696,0.7624) -- (0.5,0.866) -- (0.3254,0.961) -- (0.1528,1.043) -- (-0.01133,1.11) -- (-0.1607,1.156) -- (-0.2899,1.181) -- (-0.3945,1.181) -- (-0.471,1.155) -- (-0.5173,1.103) -- (-0.5326,1.025) -- (-0.5173,0.9226) -- (-0.4734,0.7971) -- (-0.4038,0.6515) -- (-0.3127,0.4894) -- (-0.2051,0.3147) -- (-0.08684,0.1318) -- (0.03595,-0.05447) -- (0.1569,-0.2394) -- (0.2696,-0.418) -- (0.3682,-0.5859) -- (0.4473,-0.7388) -- (0.5024,-0.873) -- (0.5299,-0.9855) -- (0.5274,-1.074) -- (0.494,-1.137) -- (0.4299,-1.173) -- (0.3366,-1.184) -- (0.2172,-1.169) -- (0.07558,-1.132) -- (-0.08312,-1.073) -- (-0.253,-0.9971) -- (-0.4276,-0.9068) -- (-0.6001,-0.8063) -- (-0.7635,-0.6994) -- (-0.9113,-0.5902);
\draw[ line width=.6pt] (-1.18431, -0.959643)--(-0.638322, -0.220787)
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10 changes: 7 additions & 3 deletions text/Inside_Cover_Of_The_Text_Material_Complete.tex
Original file line number Diff line number Diff line change
@@ -1,14 +1,18 @@
\phantomsection

\addcontentsline{toc}{chapter}{Important Formulas}
\ifbool{latexml}{
\chapter*{Important Formulas}
}{
\addcontentsline{toc}{chapter}{Important Formulas}
}

\subsection{Differentiation Rules}

\bgroup
\footnotesize
\renewcommand{\arraystretch}{2.5}
\setlength{\columnsep}{6pt}
\noindent
\noindent\lxAddClass{fourColumn}
\parbox{.2\linewidth}{%
\begin{enumerate}
\item $\dfrac\dd{\dd x}(cx)=c$
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% todo Tim - Hartman includes \int\ln x \dd x after \int e^x \dd x. Do we want to?
\subsection{Integration Rules}

\noindent\parbox[t]{.23\linewidth}{%
\noindent\lxAddClass{fourColumn}\parbox[t]{.23\linewidth}{%
\begin{enumerate}
\item $\ds\int c\cdot f(x)\dd x=c\int f(x)\dd x$
\item $\ds\int f(x)\pm g(x)\dd x=\\[\defaultaddspace]
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