Calculus-Text.tex

\documentclass[12pt]{book}


% allow more floats to be processed
\extrafloats{100}


% For the font
%\usepackage{mathptmx}
\usepackage[T1]{fontenc}

\usepackage[EULERGREEK]{sansmath}


% Allows files from different parent directories to be included, and is used in making adaptations.
\usepackage{import}
\providecommand{\mybuildpath}{./}

% To prevent ! No room for a new \dimen ERROR. WHY DOES THIS HAPPEN AT ALL????
\usepackage{etex}\reserveinserts{28}

% Make it look more like the Word docs
\setlength{\parskip}{\baselineskip}
\setlength{\parindent}{0pt}

% Various math packages
\usepackage{amsmath,amsfonts,amsthm,amssymb}

% For colouring various things
\usepackage{xcolor}

\usepackage{textcomp} % to use \textcent to make cent symbol
\def\cents{\makebox[0cm][l]{\rule{.47ex}{0mm}\rule[-.3ex]{.15mm}{1.6ex}}c}

% Simple arithmetic
\usepackage{calc}

% Conditional statements
\usepackage{ifthen}

 

% Page layout
\ifthenelse{\equal{\detokenize{interior}}{\jobname}}{
	\usepackage[headheight=15pt,top=1in, bottom=0.75in, outer=0.65in, inner=0.85in]{geometry}
}{
	\usepackage[headheight=15pt,top=1in, bottom=0.75in, outer=0.75in, inner=0.75in]{geometry}
}

% Captions for objects
\usepackage[format=hang,font=bf]{caption}

% Defines command \sfrac for inline fractions
\usepackage{xfrac}

% For multicolumn cells in text
\usepackage{multicol}

% If you want to generate an index, automatically
\usepackage{makeidx}
\makeindex



% If you want to include postscript graphics
\usepackage{graphicx}

% For including eps graphic files
\usepackage{epsfig}

% for low-level font commands, and drawing simple pictures. Relics from Guichard code, will be phased out with Tikz
\usepackage{rawfonts,pictex}

% Hyperlinks
\usepackage{hyperref}

% For customizing lists
\usepackage{enumerate} % the better package is enumitem, but does not compile currently

% For more options to format columns in array and tabular environments
\usepackage{array}

% Creates coloured boxes for Examples, Definitions & Theorems
\usepackage{tcolorbox}
\tcbuselibrary{theorems,breakable}

% For more caption features.
\usepackage{float}

% Used on the titlepage
\usepackage{pagecolor}
\usepackage{afterpage}

% To remove headers and footers from truly empty pages
\usepackage{emptypage}

\usepackage{longtable}

% Draw images and figures
\usepackage{tikz}
\usetikzlibrary{arrows,3d,calc,intersections,shapes.callouts}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{shadows}
\usetikzlibrary{backgrounds}

%\usetikzlibrary{angles,quotes,decorations.markings,patterns}


% For plotting data
\usepackage{pgfplots}
\pgfplotsset{colormap={coloronemap}{rgb=(.4,.4,1); rgb=(.8,.8,1)}}
\pgfplotsset{colormap={colortwomap}{rgb=(1,.4,.4); rgb=(1,.8,.8)}}
\usepackage{pgfplotstable}

% for trig plots  as Areas Between Curves
\makeatletter
\newcommand*{\ArrayToCommaList}[1]{%
  \let\ArrayToCommaList@Result\@empty
  \expandafter\@tfor\expandafter\ArrayToCommaList@Entry
  \expandafter:\expandafter=#1\do{%
    \edef\ArrayToCommaList@Result{%
      \ArrayToCommaList@Result,\ArrayToCommaList@Entry
    }%
  }%
  % Remove first comma
  \edef#1{%
    \expandafter\@cdr\ArrayToCommaList@Result\@empty\@nil
  }%
}
\makeatother

% Overwrite a term in an equation with a comment
\newlength{\overwritelength}
\newlength{\minimumoverwritelength}
\setlength{\minimumoverwritelength}{1cm}
\newcommand{\overwrite}[3][red]{%
	\settowidth{\overwritelength}{$#2$}%
	\ifdim\overwritelength<\minimumoverwritelength%
	\setlength{\overwritelength}{\minimumoverwritelength}\fi%
	\stackrel
	{%
		\begin{minipage}{\overwritelength}%
			\color{#1}\centering\small #3\\%
			\rule{1pt}{9pt}%
		\end{minipage}}
		{\colorbox{#1!50}{\color{black}$\displaystyle#2$}}}


% For fancy headers!
\usepackage{fancyhdr}

% Used for creating EOC questions with corresponding solutions at the end of the textbook
\usepackage{answers}

% fancy section headers
\usepackage[explicit,sc]{titlesec}

% to use strike through arrow
\usepackage{cancel} 

% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%add the following two lines in order to compile with pdflatex
\usepackage[pdf]{pstricks}
%\usepackage[on]{auto-pst-pdf}
%\input{pstricks-commands}

%For subfigures and references
\usepackage{caption}
\usepackage{subcaption}
\usepackage{cleveref}
\captionsetup[subfigure]{subrefformat=simple,labelformat=simple}
\renewcommand\thesubfigure{(\alph{subfigure})}

\usepackage{wrapfig}

\usepackage{epstopdf}
\epstopdfsetup{update} % only regenerate pdf files when eps file is newer
\usepackage{bm}

% for strikout "sout" command 
\usepackage[normalem]{ulem}

\newcommand{\primeskip}{\hskip.75pt}
\newcommand{\fp}{\ensuremath{f\,'}}
\newcommand{\fpp}{\ensuremath{f\,''}}

\newcommand{\dx}{\ensuremath{\Delta x}}
\newcommand{\dy}{\ensuremath{\Delta y}}

\newcommand{\Fp}{\ensuremath{F\primeskip'}}
\newcommand{\Fpp}{\ensuremath{F\primeskip''}}

\newcommand{\myrule}{\rule[-4pt]{0pt}{13pt}}
\newcommand{\mmrule}{\rule[-10pt]{0pt}{15pt}}
\newcommand{\myds}{\ds\mmrule}
\newcommand{\myint}[2]{\ensuremath{\myds\int #1\ dx=} \ensuremath{\ds #2}}
\newcommand{\deriv}[2]{\ensuremath{\myds\frac{d}{dx}\left(#1\right)=#2}}


\newcommand{\mtable}[4]{
					\vskip \baselineskip%
					\noindent\begin{minipage}{\textwidth}
  					\centering\small
  					#4
  					\captionsetup{type=figure}
	  				\caption{#2}\label{#3}
  				\end{minipage}
  				\vskip\baselineskip}

\newcommand{\mTable}[4]{
					%\vskip \baselineskip%
					\noindent\begin{minipage}{#1\textwidth}
  					\centering\small
  					#4
  					\captionsetup{type=table}
	  				\caption{#2}\label{#3}
  				\end{minipage}
  				\vskip\baselineskip}  				


\newcommand{\mfigure}[4]{%
		\vskip \baselineskip%
			\noindent\begin{minipage}{#1\textwidth}
  			\centering
  			#4%
  			\captionsetup{type=figure}
	  		\caption{#2}\label{#3}
  		\end{minipage}
		}

% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
\usepgfplotslibrary{fillbetween}


\newcommand{\colorone}{blue}
\newcommand{\colortwo}{red}
\newcommand{\coloronefill}{blue!15!white}
\newcommand{\colortwofill}{red!15!white}
\newcommand{\colornamesuffix}{}
\newcommand{\mysettikzname}[1]{\tikzsetnextfilename{#1}}
\newcommand{\myincludegraphics}[2][]{\includegraphics[#1]{#2}}
\newcommand{\colormapone}{rgb=(.4,.4,1); rgb=(.8,.8,1)}
\newcommand{\colormaptwo}{rgb=(1,.4,.4); rgb=(1,.8,.8)}
\newcommand{\colormapplaneone}{rgb=(.7,.7,1); rgb=(.9,.9,1)}
\definecolor{colormaponebottom}{rgb}{.4,.4,1}
\definecolor{colormaponetop}{rgb}{.8,.8,1}
\definecolor{colormaptwobottom}{rgb}{1,.4,.4}
\definecolor{colormaptwotop}{rgb}{1,.8,.8}


% custom tick mark labels
%\makeatletter
% \pgfplotsset{
%    xtick parsed/.code={
%        \c@pgf@counta 0\relax
%        \foreach \x in {#1} {
%            \pgfmathparse{\x}
%            \ifnum\c@pgf@counta=0
%                \xdef\pgfplots@xtick{\pgfmathresult}
%            \else
%                \xdef\pgfplots@xtick{\pgfplots@xtick,\pgfmathresult}
%            \fi
%            \global\advance\c@pgf@counta 1\relax
%        }
%    }
% } 
% \makeatother

% mid-point rule
\pgfplotsset{
    midpoint segments/.code={\pgfmathsetmacro\midpointsegments{#1}},
    midpoint segments=3,
    midpoint/.style args={#1:#2}{
        ybar interval,
        domain=#1+((#2-#1)/\midpointsegments)/2:#2+((#2-#1)/\midpointsegments)/2,
        samples=\midpointsegments+1,
        x filter/.code=\pgfmathparse{\pgfmathresult-((#2-#1)/\midpointsegments)/2}
    }
}

% right hand sums
\pgfplotsset{
    right segments/.code={\pgfmathsetmacro\rightsegments{#1}},
    right segments=3,
    right/.style args={#1:#2}{
        ybar interval,
        domain=#1+((#2-#1)/\rightsegments):#2+((#2-#1)/\rightsegments),
        samples=\rightsegments+1,
        x filter/.code=\pgfmathparse{\pgfmathresult-((#2-#1)/\rightsegments)}
    }
}

% left hand sums
\pgfplotsset{
    left segments/.code={\pgfmathsetmacro\leftsegments{#1}},
    left segments=3,
    left/.style args={#1:#2}{
        ybar interval,
        domain=#1:#2,
        samples=\leftsegments+1,
        x filter/.code=\pgfmathparse{\pgfmathresult}
       }
}



% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %

% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %

% Inputs information regarding book Title, Authors, Version and Revision
\input{frontmatter/bookinfo.txt}

% Inputs information regarding Institution,Course Code, Name, Session and Section (for adapted text)
%\input{courseInfo.txt}
\newcommand{\institution}{University of\\ New Brunswick Saint John}
\newcommand{\courseCode}{}
\newcommand{\courseName}{MATH $1003$, MATH $1013$, \& MATH $2513$ }
\newcommand{\courseSession}{}
\newcommand{\courseSection}{}

% Lyryx Math Style
\usepackage{UNBMathStyle}

% Lyryx Calculus Style 
\usepackage{UNBCalcStyle}


% TODO: Is there a way to automatically calculate the dimensions of the print-cover? 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% PRINT COVER GEOMETRY CALCULATIONS
%
% % %
%%% Here are the calculations from createspace:
% 
% Spine width: --> black+white interior is 0.002252in * page count
%              --> colour interior is 0.0025in * page count
%
% Spine: allow for 0.0625" variance on either side of the fold lines for your cover.
%
% Bleed: 0.125 * 2  (needed on all 4 outside edges of PDF, but not spine)
%
% Safe zone: Text and images must be at least .125" inside the trim lines to ensure
%            that no live elements are cut during the bookmaking process.
%
% Minimum Cover Width: Bleed + Back Cover Trim Size + Spine Width + Front Cover Trim Size + Bleed
%
% 
% For 104 pages in colour: (exclude front and back cover - 2 pages)
%
% paper width = 0.125 + 8.5 + (0.0025 * 104) + 8.5 + 0.125 = 17.51in
% paper height = 11 + (2 * 0.125) = 11.25in
%
%                paper size - safe zone		(layoutsize)
% layout width = 8.5 - (.125 * 2)
% layout height = 11 - (.125 * 2)
%
%                   bleed + left side + spine + safe zone
% layout offset x = 0.125 + 8.5 + (0.0025 * 104) + 0.125 = 9.01in
%                   bleed + safe zone
% layout offset y = 0.125 + 0.125 = 0.25in
%
% spine width:	0.002252 * 360 = 0.81072in B&W
% 				0.0025 * 360 = 0.9in colour
%
%
% HOWEVER this will leave space for headers/footers/marginal notes/etc
%
% So we want to tweak the body size to be something nice, such as layoutsize minus 1/2 inch on each side for margins
%

% Options showframe, showcrop, and verbose can be used for debugging
\ifthenelse{\equal{\detokenize{print-cover}}{\jobname}\OR\equal{\detokenize{print-cover-lulu}}{\jobname}}{
	\geometry{papersize={17.51in,11.25in},layoutsize={8.25in,10.75in},layoutoffset={9.01in,0.25in},body={7.25in,9.75in}}
}{
% No change in geometry for regular pdf
}



\begin{document}
	
\newcommand{\ssep}{\mid} % set builder notation - vertical bar (separator)  	

\ifthenelse{\equal{\detokenize{print-cover-lulu}}{\jobname}}{
	\pagestyle{empty}
	\subimport{frontmatter/titlepage-lulu}
}{	
\ifthenelse{\equal{\detokenize{print-cover}}{\jobname}}{
	\pagestyle{empty}
	\subimport{\mybuildpath}{frontmatter/titlepage}
}{

	\raggedbottom
	
	\allowdisplaybreaks
	
	\frontmatter

%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title page
\ifthenelse{\equal{\detokenize{interior}}{\jobname}}{
	% Skip title page
}{
	\subimport{\mybuildpath}{frontmatter/titlepage}
	\cleardoublepage
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%
% LSCS 
%	\subimport{\mybuildpath}{frontmatter/lscs}
%	\cleardoublepage

%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright material
	\subimport{\mybuildpath}{frontmatter/copyright}

%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Table of Contents
	\setlength{\parskip}{3pt}
	\tableofcontents
	\cleardoublepage

	\mainmatter
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Contents!!
	\subimport{\mybuildpath}{content}

%\backmatter
%\printindex %Make an index AUTOMATICALLY % TODO

%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Back Cover
\ifthenelse{\equal{\detokenize{interior}}{\jobname}}{
	% Skip back cover
}{
	\subimport{\mybuildpath}{backpage}
}
}
}


 \end{document}