\documentclass[amsfonts,professionalfont,amsmath,amsthm,epsfig,subfigure,color,serif,xcolor=pdftex,dvipsnames,table]{beamer}

%==========================================================================================================================
% use trans if you want to get rid of the navigation widgets at the bottom of the pdf output; useful when you are making transparencies, but deactivates all the sequential displays (block<+->, itemize[<+->], etc)

%\setbeamertemplate{navigation symbols}{} another way to eliminate the navigation widgets, without deactivating all the sequential displays (block<+->, itemize[<+->], etc)
%==========================================================================================================================

\usetheme{Antibes}%montpellier
\usecolortheme{seahorse}
%\usefonttheme[onlylarge]{structurebold}
\usefonttheme{structurebold}
\usepackage[english]{babel}
%\usepackage{times}
%\usepackage{pxfonts}
%\usepackage{eulervm}
\usepackage[T1]{fontenc}
\usepackage{mathpazo}
%\usepackage{kerkis}
%\usepackage{kmath}
%\usepackage{concrete}
\usepackage{fourier}
\usepackage{rotating}
\usepackage{xcolor}
%\usepackage{graphicx}
\usepackage{grffile}

\definecolor{orange}{rgb}{0,.65,.5}

\definecolor{cool}{rgb}{.78,0.35,.85}

\definecolor{cool2}{cmyk}{.1,0,.9,.35}

%\RequirePackage{pgfcore}

\newtheorem{strategy}{Strategy}

% start preamble
\title{\textcolor{blue}{Cast Aside the Tyranny of PowerPoint !}}\subtitle{\textcolor{cool}{Become Enlightened with Beamer}}
\author{\textcolor{orange}{{\bf WOU Math Club Workshop - Monday, 2/16/09}}}
\date{\textcolor{cool2}{4:15 - 5:00, MNB 110}}
%\date{\today}
%{Mathematical Association of America, Pacific Northwest Section Meeting}





\def\dblone{\hbox{$1\hskip -1.2pt\vrule depth 0pt height 1.6ex width 0.7pt
                  \vrule depth 0pt height 0.3pt width 0.12em$}}

\def \R{{\mathbb R}}
\def \C{{\mathbb C}}
\def \Q{{\mathbb Q}}
\def \N{{\mathbb N}}
\def \Z{{\mathbb Z}}
\def \T{{\mathbb T}}
\def \H{{\mathbb H}}
\def \Ir{{\mathbb I}}
\def \Pos{{\mathbb P}}
\def \A{{\mathcal A}}
\def \B{{\mathcal B}}
\def \D{{\mathcal D}}
\def \F{{\mathcal F}}
%\def \S{{\mathcal S}}
\def \Hi{{\mathcal H}}
\def \Hchan{{\mathbf H}}

\def \Ll{{\mathcal L}}
\def \Lone{{L^1(\R^d)}}
\def \Ltwo{{L^2(\R^d)}}
\def \Lon{{L^1(\R)}}
\def \Lto{{L^2(\R)}}
\def \Lp{{L^{ ^{\scriptstyle p}}(\R^d)}}
\def \Lq{{L^{ ^{\scriptstyle q}}(\R^d)}}
\def \Linf{{L^{ ^{\scriptstyle \infty}}(\R^d)}}
\def \lq{{\ell^{ ^{\scriptstyle q}}(\Z^d)}}
\def \lp{{\ell^{ ^{\scriptstyle p}}(\Z^d)}}
\def \ll{{\ell^{ ^{\scriptstyle 2}}(\Z^d)}}
\def \li{{\ell^\infty(\Z^d)}}
\def \llq{{\ell^{ ^{\scriptstyle q}}\!\!(\Z)}}
\def \llp{{\ell^{ ^{\scriptstyle p}}\!\!(\Z)}}
\def \llt{{\ell^{ ^{\scriptstyle 2}}\!\!(\Z)}}
\def \llo{{\ell^{ ^{\scriptstyle 1}}\!(\Z)}}
\def \lld{{\ell^2(\Z^d)}}

\def \a{{\alpha}}
\def \b{{\beta}}
\def \d{{\delta}}
\def \eps{{\epsilon}}
\def \e{\varepsilon}
\def \g{{\gamma}}
\def \G{{\Gamma}}
\def \k{{\kappa}}
\def \p{{\psi}}
\def \t{{\tau}}
\def \w{{\omega}}
\def \l{{\ell}}
\def \la{{\lambda}}
\def \La{{\Lambda}}
\def \m{{\mu}}
\def \n{{\nu}}
\def \O{{\Omega}}
\def \r{{\rho}}
\def \th{{\theta}}
\def \s{{\sigma}}
%\def \S{{\Sigma}}
\def \x{{\xi}}
\def \z{{\zeta}}
\def \ph{{\varphi}}
\def \Ph{{\Phi}}
\def \P{{\Psi}}
\def \U{{\Upsilon}}

\def \be{\begin{equation}}
\def \ee{{\end{equation}}}
\def \bea{\begin{eqnarray}}
\def \eea{\end{eqnarray}}
\def \bpm{\begin{pmatrix}}
\def \epm{\end{pmatrix}}
\def \bex{\begin{example}}
\def \eex{\end{example}}
\def \bbm{\begin{bmatrix}}
\def \ebm{\end{bmatrix}}
\def \bc{\begin{center}}
\def \ec{\end{center}}
\def \bd{\begin{definition}}
\def \ed{\end{definition}}

\def \bh{\begin{huge}}
\def \bH{\begin{Huge}}
\def \bL{\begin{Large}}
\def \eL{\end{Large}}
\def \eh{\end{huge}}
\def \eH{\end{Huge}}

\def \pmkn{{(-1)}^{k+n}}

\def \nn{{\nonumber}}
\def \np{{\newpage}}
\def \noi{{\noindent}}

\def\ord{{\cal O}}
\def\ninN{{n{\in}\N}}
\def\Dil{{\cal D}_{\alpha}}
\def\Chirp{{\cal C}_{\beta}}
\def\SQ{{S^{\frac{1}{2}}}}
\def\LambdaR{{\Lambda_{R}}}
\def\Lambdai{{\Lambda_{1}}}
\def\Lambdaii{{\Lambda_{2}}}

\def\ntoinf{{n \rightarrow \infty }}
\def\toinf{{\rightarrow \infty }}
\def\tozero{{\rightarrow 0 }}

\def\supp{{supp}}
\def \frac#1#2{{\mathinner{#1 \over #2}}}

\def \secsep{\vh***********************************************************************\\\vh}
\def \eqsep{\vh\noi==============================================\\\vh}

\def \Lsp{{\boldsymbol L}}
\def \LtR{{\Lsp^2(\R)}}

\def \Ra{{\,\,\Rightarrow\,\,}}
\def \ra{{\,\,\rightarrow\,\,}}
\def \Lfa{{\,\,\Leftarrow\,\,}}
\def \LRa{{\,\,\Leftrightarrow\,\,}}
\def \lra{{\,\,\longrightarrow\,\,}}
\def \Lra{{\,\,\Longrightarrow\,\,}}
\def \Llra{{\,\,\Longleftrightarrow\,\,}}
\def \fa{{\,\,\forall\,\,}}
\def \ex{{\,\,\exists\,\,}}
\def \st{{\,\,\ni\,\,}}
\def \contr{{(\Rightarrow\Leftarrow !)}}
\def \ntoinf{{\underset{n\rightarrow\infty}{\lim}\,\,}}
\def \and{{\,\,\wedge\,\,}}
\def \oor{{\,\,\vee\,\,}}
\def \v{\vspace{1in}}
\def \vh{\vspace{.5in}}
\def \vhh{\vspace{.25in}}
\def \vhhh{\vspace{.125in}}

\newcommand \wh{\widehat}
\newcommand \wt{\widetilde}

\def \suppose{ \sf{\mathbf{S}}\hspace{-.055in}\!\!\!{ }_{{ }_{{ }_{\mbox{\begin{rotate}{-10}{\Large \sl{\sf{I}}}\end{rotate}}}}}\quad\,\,}


\begin{document}


\begin{frame}
  \titlepage
\end{frame}


\frame{
\frametitle{Lecture Structure}
\begin{itemize}
\item We'll meet for 45 minutes then I have to pick Elizabeth and Evan up.
\vhhh
\item But during this time, we can cover everything you'll need to get started
\vhhh
\item You can use (almost) all \LaTeX (\TeX) commands in Beamer
\vhhh
\item {\em E.g.,} $f_n(x)=\frac{\left(3n+(-1)^n\right)x}{n^2(x+1)}$
\vhhh
\item Somewhere around the $j^{\text{th}}$ term, the sequence starts behaving

\end{itemize}

}

\frame{
\frametitle{Two Surprises}
One might itemize;\\
\vhhh
\begin{itemize}
\item Factorials are given simply by $n!$
\vhhh
\item One can include figures!
\end{itemize}
Or enumerate!
\begin{enumerate}
\item Fermat's First Theorem
\item Fermat's Last Theorem
\end{enumerate}
}

\frame{
\frametitle{You can Itemize within an Itemization}
\begin{itemize}
\item You could put your overall topic here, like Sequences
\item After a brief second note about, say, alternating sequences,
\item You could talk about monotonicity
    \begin{itemize}
    \item and then increasing sequences
    \item and decreasing sequences
    \end{itemize}
\item Then talk about increasing subsequences of alternating sequences
\end{itemize}
A fine graph from MATLAB...is on the next slide
}


\frame{
\frametitle{A fine graphic: *.pdf}
\begin{center}
\includegraphics[height=2.75in]{notconvex2}
\end{center}

}

\frame{
\frametitle{Proof that that graph was awesome}

\begin{block}<+->{Theorem: That graph was awesome.}
Proof: Return to the previous page and gaze upon it.
\end{block}

\begin{itemize}[<+->]
\item It Was All, Like, Colorful
\item And One Line Was Like, Under the Surface and the Other Was Totally over the Surface
\item So, Yeah, Like Concavity/Convexity is not so Simple for Graphs of more than One Dimension...
\end{itemize}
}


\frame{
\frametitle {Finer Control of Stepwise viewing}
\begin{itemize}
\item<1->Everything
\item<3-4>that has
\item<4>a beginning
\item<2-5>has an end
\end{itemize}
}

\frame{
\frametitle{Another graphic: *.jpg}
\begin{center}
\includegraphics[height=2.5in]{CEEAirplaneToPA}
\end{center}
}

\frame{
\frametitle{Another graphic: *.png (Macromedia Fireworks)}
\begin{center}
\includegraphics[height=2.5in]{testamb3}
\end{center}

}


\frame{
\frametitle{A splendid table}
\begin{Huge}
\rowcolors{1}{red!20}{red!10}
\begin{tabular}{c|ccccc}
&R&D&M&N&P\\\hline
R&$\times$&$\checkmark$&$\times$&$\times$&$\times$\pause\\
J&$\times$&$\times$&$\times$&$\times$&$\checkmark$\pause\\
N&$\checkmark$&$\times$&$\times$&$\times$&$\times$\pause\\
D&$\times$&$\times$&$\checkmark$&$\times$&$\times$\pause\\
M&$\times$&$\times$&$\times$&$\checkmark$&$\times$
\end{tabular}
\end{Huge}

}

\frame{
\frametitle{Heavier Math Content}
\begin{problem} Show that between any two unequal real numbers, there are an infinite number of rational numbers.
\end{problem}

\begin{strategy} Fix $a,b\in\R$ with $a<b.$  Show that there exists a rational in $(a,b),$ and that if there's one, there are an infinitude of them, as follows: $\Q$ dense in $\R$ yields existence of a rational $r$ in $(a,b).$ Suppose BWOC that $|\Q\cap(a,b)|=N<\infty.$ Use density again to contradict that.
\end{strategy}

}

\frame{
\frametitle{Resources}

\begin{enumerate}[1.]
\item This file - a Rosetta Stone
\item Guides
\begin{enumerate}[A.]
\item Kim
\item Mertz
\end{enumerate}
\item Both available on my website; others are on the web.
\end{enumerate}

}

\end{document} 