Added differentiation example.
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%Tutorial slides on Python.
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% Author: FOSSEE
% Copyright (c) 2009, FOSSEE, IIT Bombay
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% Taken from Fernando's slides.
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% Title page
\title[Interactive Plotting]{Python for Science and Engg: Interactive Plotting}
\author[FOSSEE] {FOSSEE}
\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
\date[] {31, October 2009\\Day 1, Session 1}
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%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
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%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
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\begin{frame}<beamer>
\frametitle{Outline}
\tableofcontents[currentsection,currentsubsection]
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}
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\frametitle{Outline}
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% DOCUMENT STARTS
\begin{document}
\begin{frame}
\maketitle
\end{frame}
%% \begin{frame}
%% \frametitle{Outline}
%% \tableofcontents
%% % You might wish to add the option [pausesections]
%% \end{frame}
\begin{frame}[fragile]
\frametitle{Starting up...}
\begin{block}{}
\begin{verbatim}
$ ipython -pylab
\end{verbatim}
\end{block}
\begin{lstlisting}
In []: print "Hello, World!"
Hello, World!
\end{lstlisting}
Exiting
\begin{lstlisting}
In []: ^D(Ctrl-D)
Do you really want to exit([y]/n)? y
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Loops}
Breaking out of loops
\begin{lstlisting}
In []: while True:
...: print "Hello, World!"
...:
Hello, World!
Hello, World!^C(Ctrl-C)
------------------------------------
KeyboardInterrupt
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{First Plot}
\begin{columns}
\column{0.25\textwidth}
\hspace*{-0.5in}
\includegraphics[height=2in, interpolate=true]{data/firstplot}
\column{0.8\textwidth}
\begin{block}{}
\begin{small}
\begin{lstlisting}
In []: x = linspace(0, 2*pi, 51)
In []: plot(x, sin(x))
\end{lstlisting}
\end{small}
\end{block}
\end{columns}
\end{frame}
\begin{frame}[fragile]
\frametitle{Walkthrough}
\begin{block}{\typ{x = linspace(start, stop, num)} }
returns \typ{num} evenly spaced points, in the interval [\typ{start}, \typ{stop}].
\end{block}
\begin{lstlisting}
x[0] = start
x[num - 1] = end
\end{lstlisting}
\vspace*{.35in}
\begin{block}{\typ{plot(x, y)}}
plots \typ{x} and \typ{y} using default line style and color
\end{block}
\end{frame}
\begin{frame}[fragile]
\frametitle{Adding Labels}
\begin{columns}
\column{0.25\textwidth}
\hspace*{-0.45in}
\includegraphics[height=2in, interpolate=true]{data/label}
\hspace*{0.5in}
\column{0.55\textwidth}
\begin{block}{}
\small
\begin{lstlisting}
In []: xlabel('x')
In []: ylabel('sin(x)')
\end{lstlisting}
\small
% \end{lstlisting}
%\typ{xlabel(s)} sets the label of the \typ{x}-axis to \typ{s}
% \begin{lstlisting}
\end{block}
%\typ{ylabel(s)} sets the label of the \typ{y}-axis to \typ{s}
\end{columns}
\end{frame}
\begin{frame}[fragile]
\frametitle{Another example}
\begin{lstlisting}
In []: clf()
#Clears the plot area.
In []: y = linspace(0, 2*pi, 51)
In []: plot(y, sin(2*y))
In []: xlabel('y')
In []: ylabel('sin(2y)')
\end{lstlisting}
\emphbar{By default plots would be overlaid!}
\end{frame}
\begin{frame}[fragile]
\frametitle{Title and Legends}
\vspace*{-0.15in}
% \begin{block}{}
% \small
\begin{lstlisting}
In []: title('Sinusoids')
#Sets the title of the figure
In []: legend(['sin(2y)'])
\end{lstlisting}
% \small
% \end{block}
\vspace*{-0.1in}
\begin{center}
\includegraphics[height=2in, interpolate=true]{data/legend}
\end{center}
\end{frame}
\begin{frame}[fragile]
\frametitle{Legend Placement}
\begin{block}{}
\small
\begin{lstlisting}
In []: legend(['sin(2y)'], loc='center')
\end{lstlisting}
\end{block}
\begin{columns}
\column{0.6\textwidth}
\includegraphics[height=2in, interpolate=true]{data/position}
\begin{lstlisting}
'best', 'right', 'center'
\end{lstlisting}
\column{0.45\textwidth}
\vspace{-0.2in}
\begin{lstlisting}
'upper right'
'upper left'
'lower left'
'lower right'
'center left'
'center right'
'lower center'
'upper center'
\end{lstlisting}
\end{columns}
\end{frame}
\begin{frame}[fragile]
\frametitle{For arbitrary location}
\vspace*{-0.1in}
\begin{lstlisting}
In []: legend(['sin(2y)'], loc=(.8,.1))
# Specify south-east corner position
\end{lstlisting}
%\vspace*{-0.2in}
\begin{center}
\includegraphics[height=2in, interpolate=true]{data/loc}
\end{center}
\end{frame}
\begin{frame}[fragile]
\frametitle{Saving \& Closing}
\begin{lstlisting}
In []: savefig('sin.png')
In []: close()
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Plotting separate figures}
\begin{lstlisting}
In []: figure(1)
In []: plot(y, sin(y))
In []: figure(2)
In []: plot(y, cos(y))
In []: figure(1)
In []: title('sin(y)')
In []: close()
In []: close()
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Showing it better}
\vspace{-0.15in}
\begin{lstlisting}
In []: plot(y, sin(y), 'g')
In []: clf()
In []: plot(y, sin(y), linewidth=2)
\end{lstlisting}
\vspace*{-0.2in}
\begin{center}
\includegraphics[height=2.2in, interpolate=true]{data/green}
\end{center}
\end{frame}
\begin{frame}[fragile]
\frametitle{Annotating}
\vspace*{-0.15in}
\begin{lstlisting}
In []: annotate('local max',
xy=(1.5, 1),
xytext=(2.5, .8),
arrowprops=dict(
shrink=0.05),)
\end{lstlisting}
\vspace*{-0.2in}
\begin{center}
\includegraphics[height=2in, interpolate=true]{data/annotate}
\end{center}
\end{frame}
\begin{frame}[fragile]
\frametitle{Axes lengths}
\begin{lstlisting}
#Get the axes limits
In []: xmin, xmax = xlim()
In []: ymin, ymax = ylim()
In []: xmax = 2*pi
#Set the axes limits
In []: xlim(xmin, xmax)
In []: ylim(ymin, ymax)
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Review Problem}
\begin{enumerate}
\item Plot x, -x, sin(x), xsin(x) in range $-5\pi$ to $5\pi$
\item Add a legend
\item Annotate the origin
\item Set axis limits to the range of x
\end{enumerate}
\begin{lstlisting}
In []: x=linspace(-5*pi, 5*pi, 501)
In []: plot(x, x, 'b')
In []: plot(x, -x, 'b')
\end{lstlisting}
$\vdots$
\end{frame}
\begin{frame}[fragile]
\frametitle{Review Problem \ldots}
\small{
\begin{lstlisting}
In []: plot(x, sin(x), 'g', linewidth=2)
In []: plot(x, x*sin(x), 'r', linewidth=3)
\end{lstlisting}
\begin{lstlisting}
In []: legend(['x', '-x', 'sin(x)', 'xsin(x)'])
In []: annotate('origin',
xy=(0, 0),
xytext=(0, -7),
arrowprops=dict(
shrink=0.05))
In []: xlim(5*pi, 5*pi)
In []: ylim(5*pi, 5*pi)
\end{lstlisting}
}
\end{frame}
\begin{frame}
\frametitle{Things we have learned}
\begin{itemize}
\item Creating simple plots.
\item Adding labels and legends.
\item Annotating plots.
\item Changing the looks: size, linewidth
\end{itemize}
\end{frame}
\begin{frame}[fragile]
\begin{center}
End of Session-1\\
\alert{Don't Close \typ{IPython}}
\end{center}
\end{frame}
\end{document}