# HG changeset patch
# User Shantanu <shantanu@fossee.in>
# Date 1257835889 -19800
# Node ID f05b1c457120ead6891ccced22c9977e07d5946b
# Parent  f7d7b5565232b6367a8137b5fe2053d448527a45
Added exercise session day1.

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diff -r f7d7b5565232 -r f05b1c457120 day1/exercises.tex
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/day1/exercises.tex	Tue Nov 10 12:21:29 2009 +0530
@@ -0,0 +1,187 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
+% Copyright (c) 2005-2009, Prabhu Ramachandran
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages} 
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+  \usetheme{Warsaw}
+  \useoutertheme{infolines}
+  \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily\bfseries,
+    commentstyle=\color{red}\itshape,
+  stringstyle=\color{darkgreen},
+  showstringspaces=false,
+  keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar} 
+      {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\texttt{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+%    language=Python,
+%    basicstyle=\small\ttfamily,
+%    commentstyle=\ttfamily\color{blue},
+%    stringstyle=\ttfamily\color{orange},
+%    showstringspaces=false,
+%    breaklines=true,
+%    postbreak = \space\dots
+% }
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Exercises]{Exercises}
+
+\author[FOSSEE] {FOSSEE}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {7 November, 2009\\Day 1, Session 5}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+  \begin{frame}<beamer>
+    \frametitle{Outline}
+    \tableofcontents[currentsection,currentsubsection]
+  \end{frame}
+}
+
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command: 
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+  \titlepage
+\end{frame}
+
+
+\begin{frame}
+  \frametitle{Problem 1}
+  \begin{itemize}
+  \item Open file 'pos.txt', it has X and Y Coordinate of a particle under motion
+  \item Plot X vs Y Graph.
+  \item Label both the axes.
+  \item What kind of motion is this?
+  \item Title the graph accordingly.
+  \item Annotate the position where vertical velocity is zero.
+  \end{itemize}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Problem 2}
+Write a Program that plots a regular n-gon(Let n = 5).
+\end{frame}
+
+\begin{frame}[fragile]
+  \frametitle{Problem 3}
+Create a sequence of images in which the damped oscillator($e^{x/10}sin(x)$) slowly evolves over time.
+\begin{columns}
+\column{0.35\textwidth}
+\includegraphics[width=1.5in,height=1.5in, interpolate=true]{data/plot2}
+\column{0.35\textwidth}
+\includegraphics[width=1.5in,height=1.5in, interpolate=true]{data/plot4}
+\column{0.35\textwidth}
+\includegraphics[width=1.5in,height=1.5in, interpolate=true]{data/plot6}
+\end{columns}
+\begin{block}{Hint}
+\small
+  \begin{lstlisting}
+savefig('plot'+str(i)+'.png') #i is int variable  
+  \end{lstlisting}  
+\end{block}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Problem 4}
+  Legendre polynomials $P_n(x)$ are defined by the following recurrence relation
+
+\center{$(n+1)P_{n+1}(x) - (2n+1)xP_n(x) + nP_{n-1}(x) = 0$}\\
+
+with $P_0(x) = 1$, $P_1(x) = x$ and $P_2(x) = (3x^2 - 1)/2$. Compute the next three 
+   Legendre polynomials and plot all 6 over the interval [-1,1].
+\end{frame}
+\end{document}
+
+%% \begin{frame}[fragile] 
+%% \frametitle{Problem Set 5}
+%%   \begin{columns}
+%%     \column{0.6\textwidth}
+%%     \small{
+%%     \begin{itemize}
+%%       \item[3] Consider the iteration $x_{n+1} = f(x_n)$ where $f(x) = kx(1-x)$.  Plot the successive iterates of this process as explained below. 
+%%     \end{itemize}}
+%%     \column{0.35\textwidth}
+%%     \hspace*{-0.5in}
+%%   \includegraphics[height=1.6in, interpolate=true]{data/cobweb}  
+%% \end{columns}
+%% \end{frame}
+
+%% \begin{frame}
+%%   \frametitle{Problem Set 5.3}
+%%   Plot the cobweb plot as follows:
+%%   \begin{enumerate}
+%%     \item Start at $(x_0, 0)$ ($\implies$ i=0)
+%%     \item Draw a line to $(x_i, f(x_i))$
+%%     \item Set $x_{i+1} = f(x_i)$
+%%     \item Draw a line to $(x_{i+1}, x_{i+1})$
+%%     \item $(i\implies i+1)$ 
+%%     \item Repeat from 2 for as long as you want 
+%%   \end{enumerate}
+%% \inctime{20}
+%% \end{frame}
diff -r f7d7b5565232 -r f05b1c457120 day2/session3.tex
--- a/day2/session3.tex	Fri Nov 06 20:15:14 2009 +0530
+++ b/day2/session3.tex	Tue Nov 10 12:21:29 2009 +0530
@@ -1,33 +1,48 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%Tutorial slides on Python.
+% Tutorial slides on Python.
 %
-% Author: FOSSEE 
-% Copyright (c) 2009, FOSSEE, IIT Bombay
+% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
+% Copyright (c) 2005-2009, Prabhu Ramachandran
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-\documentclass[14pt,compress]{beamer}
-%\documentclass[draft]{beamer}
-%\documentclass[compress,handout]{beamer}
-%\usepackage{pgfpages} 
-%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+\documentclass[compress,14pt]{beamer}
+% \documentclass[handout]{beamer}
+% \usepackage{pgfpages}
+% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape]
+\usepackage{tikz}
+\newcommand{\hyperlinkmovie}{}
+%\usepackage{movie15}
 
-% Modified from: generic-ornate-15min-45min.de.tex
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Note that in presentation mode 
+% \paperwidth  364.19536pt
+% \paperheight 273.14662pt
+% h/w = 0.888
+
+
 \mode<presentation>
 {
   \usetheme{Warsaw}
+  %\usetheme{Boadilla}
+  %\usetheme{default}
   \useoutertheme{infolines}
   \setbeamercovered{transparent}
 }
 
+% To remove navigation symbols
+\setbeamertemplate{navigation symbols}{}
+
+\usepackage{amsmath}
 \usepackage[english]{babel}
 \usepackage[latin1]{inputenc}
-%\usepackage{times}
+\usepackage{times}
 \usepackage[T1]{fontenc}
 
 % Taken from Fernando's slides.
 \usepackage{ae,aecompl}
 \usepackage{mathpazo,courier,euler}
 \usepackage[scaled=.95]{helvet}
+\usepackage{pgf}
 
 \definecolor{darkgreen}{rgb}{0,0.5,0}
 
@@ -40,50 +55,65 @@
   keywordstyle=\color{blue}\bfseries}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Macros
+% My Macros
+\setbeamercolor{postit}{bg=yellow,fg=black}
 \setbeamercolor{emphbar}{bg=blue!20, fg=black}
 \newcommand{\emphbar}[1]
 {\begin{beamercolorbox}[rounded=true]{emphbar} 
       {#1}
  \end{beamercolorbox}
 }
+%{\centerline{\fcolorbox{gray!50} {blue!10}{
+%\begin{minipage}{0.9\linewidth}
+%    {#1} 
+%\end{minipage}
+%    }}}
+
+\newcommand{\myemph}[1]{\structure{\emph{#1}}}
+\newcommand{\PythonCode}[1]{\lstinline{#1}}
+
+\newcommand{\tvtk}{\texttt{tvtk}}
+\newcommand{\mlab}{\texttt{mlab}}
+
 \newcounter{time}
 \setcounter{time}{0}
-\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-
-\newcommand{\typ}[1]{\texttt{#1}}
-
-\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
 
-%%% This is from Fernando's setup.
-% \usepackage{color}
-% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
-% % Use and configure listings package for nicely formatted code
-% \usepackage{listings}
-% \lstset{
-%    language=Python,
-%    basicstyle=\small\ttfamily,
-%    commentstyle=\ttfamily\color{blue},
-%    stringstyle=\ttfamily\color{orange},
-%    showstringspaces=false,
-%    breaklines=true,
-%    postbreak = \space\dots
-% }
+\newcommand\BackgroundPicture[1]{%
+  \setbeamertemplate{background}{%
+      \parbox[c][\paperheight]{\paperwidth}{%
+      \vfill \hfill
+ \hfill \vfill
+}}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Configuring the theme
+%\setbeamercolor{normal text}{fg=white}
+%\setbeamercolor{background canvas}{bg=black}
+
 
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Title page
-\title[Basic Python]{Python language: Data structures and functions}
+\title[3D Plotting]{3D data Visualization}
 
-\author[FOSSEE Team] {The FOSSEE Group}
+\author[FOSSEE] {FOSSEE}
 
 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {8 November, 2009\\Day 2, Session 3}
+\date[] {8 November, 2009\\Day 2, Session 5}
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
-%\logo{\pgfuseimage{iitmlogo}}
+%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
+%\logo{\pgfuseimage{iitblogo}}
 
+\AtBeginSection[]
+{
+  \begin{frame}<beamer>
+    \frametitle{Outline}      
+    \tableofcontents[currentsection,currentsubsection]
+  \end{frame}
+}
 
 %% Delete this, if you do not want the table of contents to pop up at
 %% the beginning of each subsection:
@@ -102,19 +132,12 @@
     \tableofcontents[currentsection,currentsubsection]
   \end{frame}
 }
-
-% If you wish to uncover everything in a step-wise fashion, uncomment
-% the following command: 
-%\beamerdefaultoverlayspecification{<+->}
-
-%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
-
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % DOCUMENT STARTS
 \begin{document}
 
 \begin{frame}
-  \titlepage
+  \maketitle
 \end{frame}
 
 \begin{frame}
@@ -123,325 +146,419 @@
   % You might wish to add the option [pausesections]
 \end{frame}
 
-\section{Functions}
-\subsection{Default arguments}
-\begin{frame}[fragile]
-  \frametitle{Functions: default arguments}
-  \begin{lstlisting}
-In []: greet = 'hello world'
+\section{3D Data Visualization}
 
-In []: greet.split()
-Out[]: ['hello', 'world']
-
-In []: line = 'Rossum, Guido, 54, 46, 55'
-
-In []: line.split(',')
-Out[]: ['Rossum', ' Guido', ' 54',
-                        ' 46', ' 55']
-  \end{lstlisting}
+\begin{frame}
+    \frametitle{What is visualization?}
+    \Large
+    \begin{center}
+    Visual representation of data
+    \end{center}
 \end{frame}
 
-\begin{frame}[fragile]
-  \frametitle{Functions: default arguments \ldots}
-  \small
-  \begin{lstlisting}
-def ask_ok(prompt, complaint='Yes or no!'):
-    while True:
-        ok = raw_input(prompt)
-        if ok in ('y', 'ye', 'yes'):
-            return True
-        if ok in ('n', 'no', 'nop',
-                            'nope'):
-            return False
-        print complaint
-
-ask_ok('?')
-ask_ok('?', '[Y/N]')
-  \end{lstlisting}
-\end{frame} 
 
-\subsection{Keyword arguments}
-\begin{frame}[fragile]
-  \frametitle{Functions: Keyword arguments}
-We have seen the following
-  \begin{lstlisting}
-In []: legend(['sin(2y)'],
-              loc='center')
-In []: plot(y, sin(y), 'g',
-                 linewidth=2)
-In []: annotate('local max',
-                 xy=(1.5, 1))
-In []: pie(science.values(),
-            labels=science.keys())
-  \end{lstlisting}
-\end{frame}
+%% \begin{frame}
+%%     \frametitle{Is this new?}    
+%%     \begin{center}
+%%     We have moved from:
+%%     \end{center}
+%%     \begin{columns}
+%%     \column{}
+%%     \hspace*{-1in}    
+%%     \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}      
+%%     \column{}\hspace*{-0.25in}
+%%     To
+%%     \column{}
+%%     \hspace*{-1in}
+%%     \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}  
+%%     \end{columns}
+%% \end{frame}
 
-\begin{frame}[fragile]
-  \frametitle{Functions: keyword arguments \ldots}
-  \small
-  \begin{lstlisting}
-def ask_ok(prompt, complaint='Yes or no!'):
-    while True:
-        ok = raw_input(prompt)
-        if ok in ('y', 'ye', 'yes'):
-            return True
-        if ok in ('n', 'no', 'nop',
-                            'nope'):
-            return False
-        print complaint
-
-ask_ok(prompt='?')
-ask_ok(prompt='?', complaint='[y/n]')
-ask_ok(complaint='[y/n]', prompt='?')
-\end{lstlisting}
+\begin{frame}
+    \frametitle{3D visualization}
+    \Large
+    \begin{center}
+        Harder but important
+    \end{center}
 \end{frame}
 
-\subsection{Built-in functions}
 \begin{frame}
-  {Before writing a function}
-  \begin{itemize}
-      \item Variety of builtin functions are available
-      \item \typ{abs, any, all, len, max, min}
-      \item \typ{pow, range, sum, type}
-      \item Refer here:
-          \url{http://docs.python.org/library/functions.html}
-  \end{itemize}
-  \inctime{10} 
-\end{frame}
-
-\subsection{Exercises}
-\begin{frame}{Problem set 3: Problem 3.1}
-  Write a function to return the gcd of two numbers.
+    \frametitle{Is this Graphics?}
+    \Large
+    \begin{center}
+        Visualization is about data!
+    \end{center}
 \end{frame}
 
-\begin{frame}{Problem 3.2}
-Write a program to print all primitive pythagorean triads (a, b, c) where a, b are in the range 1---100 \\
-A pythagorean triad $(a,b,c)$ has the property $a^2 + b^2 = c^2$.\\By primitive we mean triads that do not `depend' on others. For example, (4,3,5) is a variant of (3,4,5) and hence is not primitive. And (10,24,26) is easily derived from (5,12,13) and is also not primitive.
-\end{frame}
-
-\begin{frame}{Problem 3.3}
-  Write a program that generates a list of all four digit numbers that have all their digits even and are perfect squares.\newline\\\emph{For example, the output should include 6400 but not 8100 (one digit is odd) or 4248 (not a perfect square).}
-\inctime{15}
-\end{frame}
-
-\section{Modules}
-\begin{frame}[fragile]
-  \frametitle{\typ{from} \ldots \typ{import} magic}
-  \begin{lstlisting}
-from scipy.interpolate import splrep
-from scipy.interpolate import splev
-
-from scipy.integrate import quad
-from scipy.integrate import odeint
-
-from scipy.optimize import fsolve
-  \end{lstlisting}
-\emphbar{All the above statements import one function into your namespace}
+\begin{frame}
+    \frametitle{Examples: trajectory in space}
+    \Large
+    \begin{center}
+        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+    \end{center}
 \end{frame}
 
-\begin{frame}[fragile]
-  \frametitle{Running scripts from command line}
-  \small
-  \begin{itemize}
-    \item Start cmd
-    \item cd to Desktop
-    \item python sine\_plot.py
-  \end{itemize}
-  \pause
-  \begin{lstlisting}
-Traceback (most recent call last):
-  File "sine_plot.py", line 1, in <module>
-    x = linspace(-5*pi, 5*pi, 500)
-NameError: name 'linspace' is not defined
-  \end{lstlisting}
+\begin{frame}
+    \frametitle{Examples: Fire in a room}
+    \Large
+    \begin{center}
+        Demo of data
+    \end{center}
+\inctime{10}
 \end{frame}
 
-\begin{frame}[fragile]
-  \frametitle{Remedy}
-  \emphbar{Adding what lines to sine\_plot.py makes this program work?}
-  \begin{lstlisting}
-from scipy import *
-  \end{lstlisting}
-\alert{Now run python sine\_plot.py again!}
-  \pause
-  \begin{lstlisting}
-Traceback (most recent call last):
-  File "sine_plot.py", line 4, in <module>
-    plot(x, x, 'b')
-NameError: name 'plot' is not defined
-  \end{lstlisting}
-\end{frame}
+\section{Tools available}
+
+\subsection{mlab}
 
-\begin{frame}[fragile]
-  \frametitle{Remedy \ldots}
-  \emphbar{What should we add now?}
-  \begin{lstlisting}
-from pylab import *
-  \end{lstlisting}
-\alert{Now run python sine\_plot.py again!!}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Modules}
-  \begin{itemize}
-    \item The \kwrd{import} keyword ``loads'' a module
-    \item One can also use:
-      \begin{lstlisting}
-In []: from scipy import *
-In []: from scipy import linspace
-      \end{lstlisting}    
-    \item What is the difference?
-    \item \alert{Use the former only in interactive mode}
+\begin{frame}
+    {Overview}
+    \Large
+    \begin{itemize}
+        \item Simple
+        \item Convenient
+        \item Full-featured
     \end{itemize}
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{Package hierarchies}
-  \begin{lstlisting}
-from scipy.interpolate import splev
+
+    \frametitle{Getting started}
+    \myemph{\Large Vanilla:}
+    \begin{lstlisting}[language=bash]
+        $ ipython -wthread
+    \end{lstlisting}
+    \myemph{\Large with Pylab:}
+    \begin{lstlisting}[language=bash]
+        $ ipython -pylab -wthread
+    \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Using mlab}
+
+    \begin{lstlisting}
+In []:from enthought.mayavi import mlab
+    \end{lstlisting}
+
+    \vspace*{0.5in}
+
+    \myemph{\Large Try these}
+
+    \vspace*{0.25in}
+
+    \begin{lstlisting}
+In []: mlab.test_<TAB>
+In []: mlab.test_contour3d()
+In []: mlab.test_contour3d??
+    \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+    {Exploring the view}
+    \begin{columns}
+        \column{0.6\textwidth}
+    \pgfimage[width=3in]{MEDIA/m2/contour3d}
+        \column{0.4\textwidth}
+        \begin{itemize}
+            \item Mouse
+            \item Keyboard
+            \item Toolbar
+            \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
+        \end{itemize}
+    \end{columns}
+\end{frame}
+
+\begin{frame}[fragile]
+  \frametitle{Clearing the plot area}  
+  \PythonCode{In []: mlab.clf()}
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{\mlab\ plotting functions}
+    \begin{columns}
+        \column{0.25\textwidth}
+        \myemph{\Large 0D data}
+        \column{0.5\textwidth}
+    \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
+    \end{columns}
+
+    \begin{lstlisting}
+In []: t = linspace(0, 2*pi, 50)
+In []: u = cos(t) * pi
+In []: x, y, z = sin(u), cos(u), sin(t)
+    \end{lstlisting}
+    \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
+\end{frame}
 
-from scipy.integrate import quad
+\begin{frame}
+  \begin{columns}
+        \column{0.25\textwidth}
+        \myemph{\Large 1D data}
+        \column{0.5\textwidth}
+        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+  \end{columns}
+  \PythonCode{In []: mlab.clf()}
+  \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
+
+    Plots lines between the points
+    
+\end{frame}
+
+\begin{frame}[fragile]
+    \begin{columns}
+        \column{0.25\textwidth}
+        \myemph{\Large 2D data}
+        \column{0.5\textwidth}
+        \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
+    \end{columns}            
+    \begin{lstlisting}
+In []: x, y = mgrid[-3:3:100j,-3:3:100j]
+In []: z = sin(x*x + y*y)
+    \end{lstlisting}
+
+    \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
+
+    \alert{Assumes the points are rectilinear}
+
+\end{frame}
+
+\begin{frame}[fragile]
+  \frametitle{mgrid}
+  \begin{lstlisting}
+In []: mgrid[0:3,0:3]
+Out[]: 
+array([[[0, 0, 0],
+        [1, 1, 1],
+        [2, 2, 2]],
 
-from scipy.optimize import fsolve
-  \end{lstlisting}
+       [[0, 1, 2],
+        [0, 1, 2],
+        [0, 1, 2]]])
+
+In []: mgrid[-1:1:5j]
+Out[]: array([-1., -0.5,  0.,  0.5,  1.])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+  \frametitle{Example}
+  \begin{lstlisting}
+In []: x, y = mgrid[-1:1:5j, -1:1:5j]
+In []: z = x*x + y*y
+
+In []: z
+Out[]: 
+array([[ 2.  , 1.25, 1.  , 1.25, 2.  ],
+       [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+       [ 1.  , 0.25, 0.  , 0.25, 1.  ],
+       [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+       [ 2.  , 1.25, 1.  , 1.25, 2.  ]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+    \myemph{\Large 2D data: \texttt{mlab.mesh}}
+    \vspace*{0.25in}
+
+    \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}}
+
+    \alert{Points needn't be regular}
+
+    \vspace*{0.25in}
+\begin{lstlisting}
+In []: phi, theta = mgrid[0:pi:20j, 
+...                         0:2*pi:20j]
+In []: x = sin(phi)*cos(theta)
+In []: y = sin(phi)*sin(theta)
+In []: z = cos(phi)
+In []: mlab.mesh(x, y, z, 
+...           representation=
+...           'wireframe')
+\end{lstlisting}
+
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{from \ldots import in a conventional way!}
-  \small
-  \begin{lstlisting}
-from scipy import linspace, pi, sin
-from pylab import plot, legend, annotate
-from pylab import xlim, ylim
 
-x = linspace(-5*pi, 5*pi, 500)
-plot(x, x, 'b')
-plot(x, -x, 'b')
-plot(x, sin(x), 'g', linewidth=2)
-plot(x, x*sin(x), 'r', linewidth=3)
-legend(['x', '-x', 'sin(x)', 'xsin(x)'])
-annotate('origin', xy = (0, 0))
-xlim(-5*pi, 5*pi)
-ylim(-5*pi, 5*pi)
-  \end{lstlisting}
+  \begin{columns}
+        \column{0.25\textwidth}
+        \myemph{\Large 3D data}
+        \column{0.5\textwidth}
+        \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\        
+    \end{columns}
+\begin{lstlisting}
+In []: x, y, z = mgrid[-5:5:64j, 
+...                -5:5:64j, 
+...                -5:5:64j]
+In []: mlab.contour3d(x*x*0.5 + y*y + 
+                   z*z*2)
+\end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{from \ldots import in a conventional way!}
-  \small
-  \begin{lstlisting}
-import scipy
-import pylab
+
+    \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
+    \vspace*{0.25in}
+
+    \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
+    
+\begin{lstlisting}
+In []: mlab.test_quiver3d()
+\end{lstlisting}
+
+\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
+\inctime{20}
+\end{frame}
+
+
+\subsection{Mayavi2}
+
+\begin{frame}
+  \frametitle{Introduction to Mayavi}
+  \begin{itemize}
+  \item Most scientists not interested in details of visualization
+  \item Visualization of data files with a nice UI
+  \item Interactive visualization of data (think Matlab)
+  \item Embedding visualizations in applications
+  \item Customization
+  \end{itemize}
+  \pause
+  \begin{block}{The Goal}
+      Provide a \alert{flexible} library/app for all of these needs!
+  \end{block}
+\end{frame}
+
+\begin{frame}
+    {Overview of features}
+      \vspace*{-0.3in}
+  \begin{center}    
+    \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
+  \end{center}    
+\end{frame}
+
+
+\begin{frame}
+    \frametitle{Mayavi in applications}
+      \vspace*{-0.3in}
+  \begin{center}    
+    \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
+  \end{center}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Live in your dialogs}
+      \vspace*{0.1in}
+  \begin{center}    
+    \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
+  \end{center}
+\end{frame}
+
+\begin{frame}
+    {Exploring the documentation}
+    \begin{center}
+    \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
+    \end{center}
+\end{frame}
+
 
-x = scipy.linspace(-5*scipy.pi, 5*scipy.pi, 500)
-pylab.plot(x, x, 'b')
-pylab.plot(x, -x, 'b')
-pylab.plot(x, scipy.sin(x), 'g', linewidth=2)
-pylab.plot(x, x*scipy.sin(x), 'r', linewidth=3)
-pylab.legend(['x', '-x', 'sin(x)', 'xsin(x)'])
-pylab.annotate('origin', xy = (0, 0))
-pylab.xlim(-5*scipy.pi, 5*scipy.pi)
-pylab.ylim(-5*scipy.pi, 5*scipy.pi)
+\begin{frame}
+  \frametitle{Summary}
+      \begin{itemize}
+          \item \url{http://code.enthought.com/projects/mayavi}
+          \item Uses VTK (\url{www.vtk.org})
+          \item BSD license
+          \item Linux, win32 and Mac OS X
+          \item Highly scriptable
+          \item Embed in Traits UIs (wxPython and PyQt4)
+          \item Envisage Plugins
+          \item Debian/Ubuntu/Fedora
+          \item \alert{Pythonic}
+      \end{itemize}
+    
+      \inctime{10}
+
+\end{frame}
+
+\begin{frame}
+    {Getting hands dirty!}
+
+        \begin{block}{Motivational problem}
+        Atmospheric data of temperature over the surface of the earth.
+        Let temperature ($T$) vary linearly with height ($z$):
+        \begin{center}            
+        $T = 288.15 - 6.5z$
+        \end{center}
+        \end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Simple solution}
+
+    \begin{lstlisting}
+lat = linspace(-89, 89, 37)
+lon = linspace(0, 360, 37)
+z = linspace(0, 100, 11)
+    \end{lstlisting}
+\pause
+    \begin{lstlisting}
+x, y, z = mgrid[0:360:37j,-89:89:37j,
+                0:100:11j]
+t = 288.15 - 6.5*z
+mlab.contour3d(x, y, z, t)
+mlab.outline()
+mlab.colorbar()
+    \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Exercise: Lorenz equation}
+    \begin{columns}
+        \column{0.25\textwidth}
+        \begin{eqnarray*}
+        \frac{d x}{dt} &=& s (y-x)\\
+        \frac{d y}{d t} &=& rx -y -xz\\
+        \frac{d z}{d t} &=& xy - bz\\
+        \end{eqnarray*}
+        \column{0.25\textwidth}
+        Let $s=10,$
+        $r=28,$ 
+        $b=8./3.$
+    \end{columns}
+    \structure{\Large Region of interest}
+  \begin{lstlisting}
+x, y, z = mgrid[-50:50:20j,-50:50:20j,
+                -10:60:20j]
+  \end{lstlisting}
+\inctime{20}
+
+\end{frame}
+\begin{frame}[fragile]
+    \frametitle{Solution}
+  \begin{lstlisting}
+def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
+    u = s*(y-x)
+    v = r*x-y-x*z
+    w = x*y-b*z
+    return u,v,w
+x,y,z = mgrid [-50:50:20j,-50:50:20j,
+                    -10:60:20j ]
+u,v,w = lorenz( x , y , z )
+# Your plot here
+#
+mlab.show()
+
   \end{lstlisting}
 \end{frame}
 
 \begin{frame}
-  \frametitle{Modules: Standard library}
+  \frametitle{We have covered:}
   \begin{itemize}
-  \item Very powerful, ``Batteries included''
-  \item Some standard modules:
-    \begin{itemize}
-    \item Math: \typ{math}, \typ{random}
-    \item Internet access: \typ{urllib2}, \typ{smtplib}
-    \item System, Command line arguments: \typ{sys}
-    \item Operating system interface: \typ{os}
-    \item Regular expressions: \typ{re}
-    \item Compression: \typ{gzip}, \typ{zipfile}, and \typ{tarfile}
-    \item And a whole lot more!
-    \end{itemize}
-  \item Check out the Python Library reference:
-    \url{http://docs.python.org/library/}
-  \end{itemize}
-\inctime{5}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Modules of special interest}
-  \begin{description}[matplotlibfor2d]
-    \item[\typ{pylab}] Easy, interactive, 2D plotting
-
-    \item[\typ{scipy}] arrays, statistics, optimization, integration, linear
-            algebra, Fourier transforms, signal and image processing,
-            genetic algorithms, ODE solvers, special functions, and more
-
-    \item[\typ{Mayavi}] Easy, interactive, 3D plotting
-  \end{description}
-\end{frame}
-
-\section{Objects}
-\begin{frame}{Everything is an Object!}
-  \begin{itemize}
-    \item \typ{int}
-    \item \typ{float}
-    \item \typ{str}
-    \item \typ{list}
-    \item \typ{tuple}
-    \item \typ{string}
-    \item \typ{dictionary}
-    \item \typ{function}
-    \item User defined class is also an object!
-  \end{itemize}
-\end {frame}
-
-\begin{frame}[fragile]
-\frametitle{Using Objects}
-  \begin{itemize}
-    \item Creating Objects
-    \begin{itemize}
-      \item Initialization
-    \end{itemize}
-    \begin{lstlisting}
-In []: a = str()
-
-In []: b = "Hello World"
-    \end{lstlisting}
-    \item Object Manipulation
-    \begin{itemize}
-      \item Object methods
-      \item ``.'' operator
-    \end{itemize}
-  \begin{lstlisting}
-In []: "Hello World".split()
-Out[]: ['Hello', 'World']
-    \end{lstlisting}
+  \item Need of visualization.
+  \item Using mlab to create 3 D plots.
+  \item Mayavi Toolkit.
   \end{itemize}
 \end{frame}
 
-\begin{frame}[fragile]
-  \frametitle{Objects provide consistency}
-  \small
-  \begin{lstlisting}
-for element in (1, 2, 3):
-    print element
-for key in {'one':1, 'two':2}:
-    print key
-for char in "123":
-    print char
-for line in open("myfile.txt"):
-    print line
-for line in urllib2.urlopen('http://site.com'):
-    print line
-  \end{lstlisting}
-  \inctime{10}
-\end{frame}
+\end{document}
 
-\begin{frame}
-  \frametitle{What did we learn?}
-  \begin{itemize}
-    \item Functions: Default and Keyword arguments
-    \item Modules
-    \item Objects
-  \end{itemize}
-\end{frame}
-
-\end{document}
\ No newline at end of file