215-problems.tex

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\usepackage{comment}

\newcommand{\wrapup}{
\bmw{\section{Wrap Up}
Once you have finished the problems in the section and feel comfortable with the ideas, create a short one page lesson plan that contains examples of the key ideas.  You will get a chance to teach from this lesson plan prior to taking the exam. Then log on to Brainhoney and download the quiz. Once you have taken the quiz, you can upload your work back to brainhoney and then download the key to see how you did. If you still need to work on mastering some of the ideas, please do so and then demonstrate your mastery though the quiz corrections.}
}
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%The purpose of this code is to allow me to put lines in matrices so that I can create augmented matrices.
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%------------------------------------------------------------------------------------------------------------

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\begin{document}
\frontmatter
\title{Multivariable Calculus}
\author{Ben Woodruff\thanks{Mathematics Faculty at Brigham Young
    University--Idaho, \url{woodruffb@byui.edu}}\\
Jason Grout\thanks{Mathematics Faculty at Drake University,
\url{jason.grout@drake.edu}}}
\date{Typeset on \today\\
\vfill
\includegraphics[height=1.3cm]{by-sa}
\vfill
\larsonfive{With references to \emph{Calculus, Early Transcendental
    Functions}, 5th~edition, by Larson and Edwards}}
\maketitle
\thispagestyle{empty}
\noindent\copyright{ 2013 Ben Woodruff and Jason Grout.  Some Rights Reserved.\\

\bigskip

\noindent This work is licensed under the Creative Commons
Attribution-Share Alike 3.0 United States License.  You may copy,
distribute, display, and perform this copyrighted work, but only if
you give credit to Ben Woodruff and Jason Grout, and all derivative
works based upon it must be published under the Creative Commons
Attribution-Share Alike 3.0 United States License. Please attribute
this work to Ben Woodruff, Mathematics Faculty at Brigham Young
University--Idaho, \url{woodruffb@byui.edu} and Jason Grout,
Mathematics Faculty at Drake University, \url{jason.grout@drake.edu}. To view a copy of this license, visit
\begin{center}
  \url{http://creativecommons.org/licenses/by-sa/3.0/us/}
\end{center}
or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA.}

\bmw{\chapter*{Introduction}
This course may be like no other course in mathematics you have ever taken.  We'll discuss in class some of the key differences, and eventually this section will contain a complete description of how this course works. For now, it's just a skeleton.

I received the following email about 6 months after a student took the course:

\begin{quote}
Hey Brother Woodruff,

I was reading {\it Knowledge of Spiritual Things} by Elder Scott.
I thought the following quote would be awesome to share with your
students, especially those in Math 215 :)

\begin{quote}
Profound [spiritual] truth cannot simply be poured
from one mind and heart to another. It takes faith
and diligent effort. Precious truth comes a small
piece at a time through faith, with great exertion,
and at times wrenching struggles.
\end{quote}
\end{quote}
Elder Scott's words perfectly describe how we acquire mathematical truth, as well as spiritual truth. 
}
\tableofcontents

\mainmatter

\chapter{Review}
\input{01-Review-215}
\wrapup


\chapter{Vectors}
\input{02-Vectors}
\wrapup

\chapter{Curves}
\input{03-Curves}
\wrapup
\chapter{Functions}
\input{05-Functions}
\wrapup


\chapter{Polar Coordinates}
\input{04-New-Coordinates}
\wrapup

\chapter{Derivatives}
\input{06-Derivatives-new}
\wrapup

\chapter{Motion}
\input{07-Motion}
\wrapup

\chapter{Line Integrals}
\input{08-Line-Integrals}
\wrapup



\chapter{Optimization}
\input{09-Optimization}
\wrapup


\chapter{Double Integrals}
\input{10-Double-Integrals}
\wrapup



\chapter{Surface Integrals}
\input{11-Surface-Integrals}
\wrapup

\chapter{Triple Integrals}
\input{12-Triple-Integrals}
\wrapup

\end{document}