
diff -r 8f4806a1a64d -r 3174d4803cd5 latex/slides.tex
--- a/latex/slides.tex	Mon Jan 31 17:59:35 2011 +0530
+++ b/latex/slides.tex	Sun Feb 06 17:57:03 2011 +0530
@@ -1,16 +1,25 @@
-\documentclass[english]{beamer}
-
-% generated by Docutils <http://docutils.sourceforge.net/>
-\usepackage{fixltx2e} % LaTeX patches, \textsubscript
-\usepackage{cmap} % fix search and cut-and-paste in PDF
-\usepackage{babel}
+\documentclass{beamer}
+\usepackage[latin1]{inputenc}
 \usepackage[T1]{fontenc}
-\usepackage[latin1]{inputenc}
+\usepackage{fixltx2e}
+\usepackage{graphicx}
+\usepackage{longtable}
+\usepackage{float}
+\usepackage{wrapfig}
+\usepackage{soul}
+\usepackage{textcomp}
+\usepackage{marvosym}
+\usepackage{wasysym}
+\usepackage{latexsym}
+\usepackage{amssymb}
+\usepackage{hyperref}
+\tolerance=1000
+\usepackage[english]{babel} \usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet}
 \usepackage{listings}
-\usepackage{amsmath}
 \lstset{
   language=TeX,
-  basicstyle=\small\ttfamily,
+  basicstyle=\ttfamily\bfseries,
   commentstyle=\ttfamily\color{blue},
   stringstyle=\ttfamily\color{orange},
   showstringspaces=false,
@@ -18,11 +27,7 @@
   postbreak = \space\dots
 }
 
-\usepackage{ifthen}
-\usepackage{longtable}
-\usepackage{array}
-\setlength{\extrarowheight}{2pt}
-\newlength{\DUtablewidth} % internal use in tables
+\newcommand{\typ}[1]{\lstinline{#1}}
 
 \mode<presentation>
 {
@@ -66,20 +71,45 @@
 \section{Introduction}
 
 \begin{frame}
-  \frametitle{\LaTeX~- Introduction}
+  \frametitle{{\LaTeX} - Introduction}
   \begin{itemize}
   \item Typesetting program
+    \begin{itemize}
+    \item What is typesetting?
+    \end{itemize}
   \item Excellently Typeset Documents - specially Math
-  \item Anything from one page articles to books. 
-  \item Based on \TeX
-  \item Pronounced ``Lah-tech'' or ``Lay-tech''
+  \item Anything from one page articles to huge books
+  \item Pronounced \emph{Lah-tech} or \emph{Lay-tech}
   \end{itemize}
 \end{frame}
 
 \begin{frame}
-  \frametitle{This Course}
+  \frametitle{Why \LaTeX?}
   \begin{itemize}
-  \item Look at Sample document - \texttt{sample.pdf}
+  \item Excellent visual quality! 
+  \item Handles the typesetting; Lets you focus on content
+  \item Makes writing math extremely simple
+  \item It is a standard -- widely used in Scientific community
+  \end{itemize}
+  \begin{block}{}
+    \[\tilde{N}_{\mathbf{x}}\times \mathbf{r}(\mathbf{x}) f_{1k}(\mathbf{x},t) - \frac{1}{2} \tilde{N} \tilde{N}:\mathbf{BB}^{T}P(\mathbf{x},t) = -m_{k}f_{1k}(\mathbf{x},t) + 2 \mathop{\mathbf{\aa}}_{j=1}^{K} f_{1j}(\mathbf{x},t)m_{j}P_{k|j} \]
+  \end{block}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Course Outline}
+  \begin{itemize}
+  \item Look at Sample document - \typ{sample.pdf}
+    \begin{itemize}
+    \item Title, Author, Date
+    \item Abstract
+    \item Sections \& Subsections
+    \item Appendix
+    \item References/Bibliography
+    \item Tables
+    \item Figures
+    \item Math
+    \end{itemize}
   \item The document will be produced by the end of the course. 
   \item First Hour - Basic Structure
   \item Second Hour - Text, Tables, Figures, References
@@ -87,50 +117,9 @@
   \end{itemize}
 \end{frame}
 
-
-\begin{frame}
-  \frametitle{A Look at the Sample Document}
+\begin{frame}[fragile]{{\LaTeX}{is awesome}
   \begin{itemize}
-  \item Title, Author, Date
-  \item Abstract
-  \item Sections
-  \item Subsections
-  \item Appendix
-  \item References/Bibliography
-  \item Tables
-  \item Figures
-  \item Math
-  \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{The source \& compilation}
-  Write the following code into the file \texttt{draft.tex}.
-  \begin{lstlisting}
-    \documentclass{article}
-    \begin{document}
-    SciPy is open-source software for mathematics, 
-    science, and engineering.   
-    \end{document}
-  \end{lstlisting}
-  To compile the document, do the following in your terminal: 
-  \begin{lstlisting}[language=bash]
-    $ pdflatex draft.tex
-  \end{lstlisting}
-  This produces the output file \texttt{draft.pdf} %%$
-  Note: \texttt{latex} command is often used to get \texttt{dvi}
-  output. Throughout this course, we shall use \texttt{pdflatex} to
-  compile our documents to \texttt{pdf} output.
-\end{frame}  
-
-\section{Structure of the Document}
-
-\begin{frame}[fragile]
-  \frametitle{\lstinline+documentclass+}
-  \begin{itemize}
-  \item \LaTeX~typesets based on \lstinline{documentclass}
-  \item Defines structure and formatting of a document
-  \item \LaTeX~is a document based mark-up
+  \item {\LaTeX} is a document based mark-up
   \item Mark-up --- a system of annotating text, adding extra
     information to specify structure and presentation of text
   \item Document based markup $\rightarrow$ you don't have to worry
@@ -140,71 +129,107 @@
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{Environments and Commands}
-  \lstinline{document} is an environment, present in every document. 
+  \frametitle{Typesetting a minimal document}
+  \begin{itemize}
+  \item Write the sample code  code into the file \typ{draft.tex}\\
+      {\tiny See \typ{hg} rev0 of draft}
+  \item   To compile, (in terminal) \\
+    \begin{lstlisting}[language=bash]
+      $ pdflatex draft.tex
+    \end{lstlisting} %%$
+  \item This produces the output file \typ{draft.pdf} 
+  \item \alert{Note:} \typ{latex} vs. \typ{pdflatex} 
+  \end{itemize}
+\end{frame}  
+
+\begin{frame}[fragile]
+  \frametitle{Commands \& Environments}
+  \begin{itemize}
+  \item {\LaTeX} is case sensitive
+  \item Commands begin with a \typ{\\}
+  \item Environments have a \typ{\\begin} and \typ{\\end} 
+  \item Any content after the \typ{\\end\{document\}} is ignored
+  \end{itemize}
+\end{frame}  
+
+\newline \\
+\newpage 
+
+
+\begin{frame}[fragile]
+  \frametitle{Comments \& Special Characters}
   \begin{itemize}
-  \item Environments
+  \item Anything that follows a \typ{\%} symbol till end of the line
+    is a comment 
+  \item Special characters (\typ{\~ \# \$ \^ \& \_ \{ \}}) are escaped by a
+    \typ{\\} 
+  \item \typ{\\} symbol is inserted using \typ{\\textbackslash}
+    command
+  \end{itemize}
+\end{frame}  
+
+\begin{frame}[fragile]
+  \frametitle{Spacing}
+  \begin{itemize}
+  \item \typ{\\\\} inserts a new line in the output
+  \item An empty line marks the beginning of a new paragraph
+  \item Multiple spaces (or empty lines) are equivalent to a single
+    space (or empty line)
+  \end{itemize}
+\end{frame}  
+
+\section{Adding Structure}
+
+\begin{frame}[fragile]
+  \frametitle{\typ{documentclass}}
+  \begin{itemize}
+  \item Used to select the \emph{class} of our document
+  \item Some available classes - \typ{article}, \typ{proc},
+    \typ{report}, \typ{book}, \typ{slides}, \typ{letter}.
+   \item For example:
+    \typ{\\documentclass\[12pt,a4paper,draft\]\{report\}}\\
+    The parameters within \typ{\[ \]} are optional.
     \begin{itemize}
-    \item \lstinline{\begin} and \lstinline{\end} define the beginning
-      and end of an environment
-    \item All the content of the document is placed inside the
-      \lstinline{document} environment 
+    \item \typ{12pt} -- sets the font size of main font and others are
+      relatively, adjusted. \typ{10pt} is the default. 
+    \item \typ{a4paper} -- specify paper size
+    \item \typ{draft} -- marks hyphenation and justification problems in
+      typesetting with a square in the margin
     \end{itemize}
-  \item Commands
-    \begin{itemize}
-    \item All commands begin with \textbackslash
-    \item They are case-sensitive
-    \item Only alpha caracthers; other characters terminate commands
-    \end{itemize}
+
   \end{itemize}
 \end{frame}
 
-
 \begin{frame}[fragile]
   \frametitle{Top Matter}
-  Let's add the Title, Author's name and the date to the document.
+  Let's add the title, author's name and the date.
   \begin{itemize}
-  \item Add title, author and date. Compile. Nothing changes.
+  \item Add title, author and date. 
+  \item Compile. 
+  \item Nothing changes.
   \end{itemize}
-  \begin{lstlisting}
-    \title{A Glimpse at Scipy}
-    \author{FOSSEE}
-    \date{June 2010}
-  \end{lstlisting}
-  \tiny{See \texttt{hg} rev1 of draft.}
+  {\tiny See \typ{hg} rev1 of draft.}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Top Matter \ldots}
   \begin{itemize}
   \item \lstinline{\maketitle} command inserts the top-matter.
-  \item Compile again. 
+  \item Add the command to the document \& compile again. 
   \item If no date is specified, today's date is automatically
     inserted.
   \end{itemize}
-  \begin{lstlisting}
-    \begin{document}
-    \maketitle
-    SciPy is open-source software for mathematics, science, and engineering.   
-    \end{document}
-   \end{lstlisting}
-  \tiny{See \texttt{hg} rev2 of draft.}
+  \tiny{See \typ{hg} rev2 of draft.}
 \end{frame}
 
 
 \begin{frame}[fragile]
   \frametitle{Abstract}
   \begin{itemize}
-  \item The abstract environment is placed at the location where it's
-    put in the source. 
+  \item \typ{\\abstract} environment inserts abstract.
+  \item Place it at the location where you want your abstract. 
   \end{itemize}
-  \begin{lstlisting}
-    \begin{abstract}
-      This document shows a glimpse of the features of Scipy that will
-      be explored during this course.
-    \end{abstract}
-  \end{lstlisting}
-  \tiny See rev3 of \texttt{hg}
+  \tiny See rev3 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
@@ -213,14 +238,9 @@
   \item \lstinline{\section}, \lstinline{\subsection}
     \lstinline{\subsubsection}
   \item Auto numbered sections!
-  \item \* to prevent numbering of a section
+  \item \typ{*} to prevent numbering of a section
   \end{itemize}
-  \begin{lstlisting}
-    \section{A Glimpse of Scipy functions}
-    \subsection{Matrix Operations}
-    \subsubsection{Inverse}
-  \end{lstlisting}
-  \tiny See rev4 of \texttt{hg}
+  \tiny See rev4 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
@@ -242,21 +262,19 @@
   \begin{lstlisting}
     \setcounter{secnumdepth}{3}
   \end{lstlisting}
-   \tiny See rev5 of \texttt{hg}
+   \tiny See rev5 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Appendices}
   \begin{itemize}
-  \item Anything following the \lstinline{\appendix} command is added
-    to the Appendix. 
+  \item \lstinline{\appendix} command indicates the beginning of
+    Appendices. 
+  \item Any content after \lstinline{\appendix}, will be added to the
+    appendix 
+  \item Use sectioning commands to add sections
   \end{itemize}
-  \begin{lstlisting}
-    \appendix
-    
-    \section{Plotting using Pylab}
-  \end{lstlisting}
-  \tiny See rev7 of \texttt{hg}
+  \tiny See rev7 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
@@ -271,19 +289,17 @@
   \item Re-compile.
   \item Any numbered section/block automatically appears
   \end{itemize}
-  \tiny See rev8 of \texttt{hg}
+  \tiny See rev8 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{TOC \ldots}
   \begin{itemize}
-  \item To add un-numbered sections, use \lstinline{\addcontentsline}
+  \item Un-numbered sections are added to TOC using
+    \lstinline{\addcontentsline}
+  \item For instance,  \lstinline+\addcontentsline{toc}{section}{Intro}+
   \end{itemize}
-  \begin{lstlisting}
-    \section*{Introduction}
-    \addcontentsline{toc}{section}{Intro}
-  \end{lstlisting}
-  \tiny See rev9 of \texttt{hg}
+  \tiny See rev9 of \typ{hg}
 \end{frame}
 
 \begin{frame}
@@ -293,74 +309,35 @@
 
 \section{Typesetting Text}
 \begin{frame}[fragile]
-  \frametitle{Line breaks, Paragraphs}
-  \begin{itemize}
-  \item Add the text of second paragraph in the introduction section. 
-  \item Compile. 
-  \item An empty line starts a new para
-  \item New paragraphs are indented
-  \item Multiple spaces or empty lines are considered as one
-  \item To start a new line \lstinline{\\} or \lstinline{\newline}
-  \end{itemize}
-  \tiny See rev10 of \texttt{hg}
-\end{frame}
-
-\begin{frame}[fragile]
   \frametitle{Quotation Marks}
   \begin{itemize}
-  \item The quotation marks around Sigh Pie are not formatted properly
   \item Use \`~ (accent) for left quote
   \item Use \'~ (apostrophe) for right quote
   \item For double quotes, use them twice
   \end{itemize}
-  \begin{center}
-    \`~\`~Sigh Pie\'~\'~
-  \end{center}
-  \tiny See rev11 of \texttt{hg}
+  \tiny See rev11 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Fonts - Emphasis, Fixed width, \ldots}
   \begin{itemize}
   \item \lstinline{\emph} gives emphasized or italic text
-  \item \LaTeX environments can be nested
-  \item Let's add sub-package names as text, before learning to
-    typeset tables
-  \item Note multiple spacing won't work
+  \item \typ{flushleft} to have text left aligned
+  \item \typ{flushright}, \typ{center}
   \end{itemize}
-  \begin{lstlisting}
-    Subpackage - Description\\
-    cluster - Clustering algorithms\\
-    constants - Physical and mathematical constants\\
-    fftpack - Fast Fourier Transform routines\\
-  \end{lstlisting}
-  \begin{center}
-    \hspace{1in}\vdots
-  \end{center}
-  \tiny See rev12 of \texttt{hg}
+  \tiny See rev12 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Fonts - Emphasis, Fixed width, \ldots}
   \begin{itemize}
-  \item Use \lstinline{\texttt} for sub-packages names - fixed width
-  \item \lstinline{\textbf} for bold face
-  \item \lstinline{-} can be replaced with \lstinline{--} or
-    \lstinline{---} for better formatting
+  \item \lstinline{\texttt} gives fixed width font
+  \item \lstinline{\textbf} bold face font
+  \item \lstinline{--} en dash (--); \lstinline{---} em dash (---). 
   \end{itemize}
-  \begin{lstlisting}
-    \textbf{Subpackage} --- \textbf{Description}\\
-    \texttt{cluster} --- Clustering algorithms\\
-    \texttt{constants} --- Physical and mathematical constants\\
-    \texttt{fftpack} --- Fast Fourier Transform routines\\
-  \end{lstlisting}
-  \begin{center}
-    \hspace{1in}\vdots
-  \end{center}
-  \tiny See rev13 of \texttt{hg}
+  \tiny See rev13 of \typ{hg}
 \end{frame}
 
-\subsection{Lists}
 \begin{frame}[fragile]
   \frametitle{Lists}
   \begin{itemize}
@@ -368,66 +345,26 @@
   \item \lstinline{itemize} environment gives un-numbered lists
   \item Each item in the list is specified using \lstinline{\item}
   \item Nested lists are also easily handled, as expected
-  \item Example on next slide
   \end{itemize}
-  \tiny See rev14 of \texttt{hg}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Lists \ldots}
-  \begin{lstlisting}
-    \begin{enumerate}
-    \item Plotting
-    \item Matrix Operations
-      \begin{itemize}
-      \item Inverse
-      \end{itemize}
-    \item Solving Equations
-      \begin{itemize}
-      \item System of Linear equations
-      \end{itemize}
-    \item Integration 
-      \begin{itemize}
-      \item Quadrature
-      \item ODEs
-      \end{itemize}
-    \end{enumerate}
-  \end{lstlisting}
+  \tiny See rev14 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Footnotes}
   \begin{itemize}
-  \item Add footnote for \lstinline{pylab}
-  \item It's easily done using \lstinline{\footnote} command 
+  \item \typ{\\footnote} command adds a footnote
   \end{itemize}
-  \begin{lstlisting}
-    Plotting \footnote{using \texttt{pylab} - see Appendix A} 
-  \end{lstlisting}
-  \begin{itemize}
-  \item We have just written down the name of the appendix
-  \item But if another section is added before it, the reference has
-    to be changed
-  \item \LaTeX provides labels and references
-  \end{itemize}
-  \tiny See rev15 of \texttt{hg}
+  \tiny See rev15 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Labels and References}
   \begin{itemize}
-  \item First add a label to the section that we wish to refer to
-  \item \lstinline+\label{labelname}+
-  \item Change footnote to use the reference
-  \item \lstinline+\ref{labelname}+
+  \item \lstinline+\label{labelname}+ is used to label an element
+  \item \lstinline+\ref{labelname}+ is used to refer to that element
   \item Compile twice
   \end{itemize}
-  \begin{lstlisting}
-    \section{Plotting using Pylab}\label{mpl}
-
-    Plotting \footnote{using \texttt{pylab} - see Appendix \ref{mpl}} 
-  \end{lstlisting}
-  \tiny See rev15 of \texttt{hg}
+  \tiny See rev15 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
@@ -435,59 +372,32 @@
   \begin{itemize}
   \item Instead of using \lstinline{\texttt} we could use
     \lstinline{\verbatim} 
-  \item \lstinline{listings} is a powerful package
+  \item \lstinline+\lstinline{listings}+ is a powerful package
   \item \lstinline+\usepackage{listings}+ needs to be added 
-  \item Tell \LaTeX the language, you are going to use
+  \item Tell {\LaTeX} the language to be used, using \typ{\\lstset}
   \end{itemize}
-  \begin{lstlisting}
-    \usepackage{listings} 
-    \lstset{language=Python,
-      basicstyle=\ttfamily\bfseries,
-      showstringspaces=false}
-  \end{lstlisting}
-  \tiny See rev16 of \texttt{hg}
+  \tiny See rev16 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Including code}
   \begin{itemize}
-  \item Use \lstinline{lstlisting} for a block of code
-  \item \lstinline+\lstinline+ for inline code
-  \item Let's add the code to Appendix
+  \item Use \lstinline+\lstlisting+ for a block of code
+  \item \typ{\\lstinline} for inline code
   \end{itemize}
-  \begin{lstlisting}
-    \begin{lstlisting.}
-      In []: x = linspace(0, 2*pi, 50)
-      In []: plot(x, sin(x))
-      In []: title('Sine Curve between 0 and $\pi$')
-      In []: legend(['sin(x)'])
-    \end{lstlisting.}
-  \end{lstlisting}
-  \tiny See rev16 of \texttt{hg}
+  \tiny See rev16 of \typ{hg}
 \end{frame}
 
 \section{Figures, Tables \& Floats}
 \begin{frame}[fragile]
   \frametitle{Figures}
   \begin{itemize}
-  \item Let's add the figure in the Appendix
+  \item The \typ{graphicx} package allows us to insert graphics
   \item \lstinline+\usepackage{graphicx}+
   \item To add a graphic, use \lstinline{\includegraphics} command
-  \item We give the relative path to the \lstinline+.png+ image
+  \item Use relative path to the image
   \end{itemize}
-  \begin{lstlisting}
-    \usepackage{graphicx}
-    
-    \begin{figure}[h!]
-    \begin{center}
-      \includegraphics[scale=0.4]{../sine.png}      
-    \end{center}
-    \caption{Sine Curve}
-    \label{fig:sin}
-    \end{figure}
-  \end{lstlisting}
-
-  \tiny See rev17 of \texttt{hg}
+  \tiny See rev17 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
@@ -538,14 +448,12 @@
   \item To place the image in the center we enclose it in the
     \lstinline+center+ environment 
   \item We can label images too
-  \item label shoule be added after the caption command
+  \item label should be added after the caption command
   \item Figures are auto numbered
   \end{itemize}
-  \tiny See rev17 of \texttt{hg}
+  \tiny See rev17 of \typ{hg}
 \end{frame}
 
-\subsection{Tables}
-
 \begin{frame}[frame]
   \frametitle{Tables}
   \begin{itemize}
@@ -583,32 +491,14 @@
   \item each row is separated by newline \lstinline{\\}
   \item \lstinline+\hline+ give a horizontal line between two rows
   \end{itemize}
-  \tiny See rev18 of \texttt{hg}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{\lstinline+tabular+ \ldots}
-  \begin{lstlisting}
-    \begin{table}
-      \caption{Sub-packages available in Scipy}
-      \label{subpkg}
-      \begin{tabular}{|l|l|}
-        \hline
-        \textbf{Subpackage} & \textbf{Description}\\
-        \texttt{constants} & Physical and mathematical constants\\
-        \hline
-        \texttt{fftpack} & Fast Fourier Transform routines\\
-        \hline
-        \end{tabular}
-      \end{table}
-    \end{lstlisting}
+  \tiny See rev18 of \typ{hg}
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{List of Tables, Figures}
   \begin{itemize}
-  \item \lstinline+listoftables+
-  \item \lstinline+listoffigures+
+  \item \lstinline+\listoftables+ -- to add a list of tables
+  \item \lstinline+\listoffigures+ -- to add a list of figures
   \end{itemize}
 \end{frame}
 
@@ -617,8 +507,8 @@
 \begin{frame}[fragile]
   \frametitle{Math in \LaTeX}
   \begin{itemize}
-  \item Math is enclosed in a pair of \lstinline{$} signs o
-    \lstinline+\(  \)+ %$
+  \item Math is enclosed in a pair of \lstinline{$} signs of %%$
+    \lstinline+\(  \)+ 
   \item Used for typesetting inline Math. 
   \item \lstinline+\usepackage{amsmath}+
   \item Let's now move on to matrices. 
@@ -632,25 +522,7 @@
   \item It works similar to ta tabular environment
   \item \lstinline+&+ for demarcating columns
   \item \lstinline+\\+ for demwarcating rows
-  \end{itemize}
-  \begin{lstlisting}
-    Let $\mathbf{A}$ be the matrix 
-    \(
-    \begin{bmatrix}
-      1 &3 &5\\
-      2 &5 &1\\
-      2 &3 &8
-    \end{bmatrix}
-    \)
-  \end{lstlisting}
-  \tiny See rev19 of \texttt{hg}    
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Matrices \ldots}
-  \begin{itemize}
-  \item There are 5 other matrix environments 
-  \end{itemize}
+  \item Other matrix environments
   \begin{table}
     \center
     \begin{tabular}{c|c}
@@ -661,15 +533,16 @@
         \lstinline+Vmatrix+ &  \lstinline+||+
     \end{tabular}
   \end{table}
+  \end{itemize}
+  \tiny See rev19 of \typ{hg}    
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Superscripts \& Subscripts}
   \begin{itemize}
   \item \lstinline+^+ for superscripts
-  \item To have multiple characters as sub/superscript, enclose in
-    \lstinline+{ }+
   \item \lstinline+_+ for subscripts
+  \item Enclose multiple characters in \lstinline+{ }+
   \end{itemize}
 \end{frame}
 
@@ -687,20 +560,16 @@
 \begin{frame}[fragile]
   \frametitle{\lstinline+displayed+ math}
   \begin{itemize}
-  \item The equation in Determinants section is different. 
-  \item It is a displayed equation. 
+  \item Display equations are the other type of displaying math
   \item \LaTeX~ or \lstinline+amsmath+ has a number of environments
     for ``displaying'' equations, with minor differences. 
   \item In general, enclose math in \lstinline+\[+ and \lstinline+\]+
     to get displayed math. 
-  \item \lstinline+\begin*{equation}+ is equivalent to this.
+  \item \lstinline+\begin{equation*}+ is equivalent to this.
   \item Use \lstinline+\begin{equation}+ to get numbered
     equations. %%\end{equation} 
   \end{itemize}
-  \begin{lstlisting}
-    \[ \left|\mathbf{A}\right|=\sum_{j}\left(-1\right)^{i+j}a_{ij}\mathbf{M}_{ij} \]
-  \end{lstlisting}
-  \tiny See rev20 of \texttt{hg}    
+  \tiny See rev20 of \typ{hg}    
 \end{frame}
 
 \begin{frame}[fragile]
@@ -714,15 +583,7 @@
     indicated using \& symbol.
   \item Each equation is separated by a \lstinline+\newline+ command
   \end{itemize}
-  \begin{lstlisting}
-    \begin{eqnarray*}
-      x^3 - 2x^2 - \frac{1}{2}x + 1 = 0\\
-      x^2(x-2) - \frac{1}{2}(x-2) = 0\\
-      (x-2)(x^2 - \frac{1}{2}) = 0\\
-      (x-2)(x - \frac{1}{\sqrt{2}})(x + \frac{1}{\sqrt{2}}) = 0
-    \end{eqnarray*}    
-  \end{lstlisting}
-  \tiny See rev21, 22 of \texttt{hg}    
+  \tiny See rev21, 22 of \typ{hg}    
 \end{frame}
 
 \begin{frame}[fragile]
@@ -787,18 +648,7 @@
     \lstinline+bibitem+ 
   \item You will need to compile twice. 
   \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Bibliography}
-  \begin{lstlisting}
-    \begin{thebibliography}{9}
-    \bibitem{scipy} 
-      Eric Jones and Travis Oliphant and Pearu Peterson and others,
-      \emph{SciPy: Open source scientific tools for Python}, 2001 -- , 
-      \url{http://www.scipy.org/} 
-  \end{lstlisting}
-  \tiny See rev23 of \texttt{hg}    
+  \tiny See rev23 of \typ{hg}    
 \end{frame}
 
 \section{Presentations - Beamer}
@@ -835,5 +685,13 @@
   \end{itemize}
 \end{frame}
 
+\begin{frame}[fragile]
+  \frametitle{}
+  \begin{center}
+    \Huge{Thank You!}
+  \end{center}
+\end{frame}
+
+
 \end{document} 
  




