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     2 %Tutorial slides on Python.

     3 %

     4 % Author: FOSSEE 

     5 % Copyright (c) 2009, FOSSEE, IIT Bombay

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     7 

     8 \documentclass[14pt,compress]{beamer}

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    14 % Modified from: generic-ornate-15min-45min.de.tex

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    22 \usepackage[english]{babel}

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    27 % Taken from Fernando's slides.

    28 \usepackage{ae,aecompl}

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    30 \usepackage[scaled=.95]{helvet}

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    32 \definecolor{darkgreen}{rgb}{0,0.5,0}

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    34 \usepackage{listings}

    35 \lstset{language=Python,

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    57 

    58 % Title page

    59 \title{Python for Scientific Computing : Least Square Fit}

    60 

    61 \author[FOSSEE] {FOSSEE}

    62 

    63 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}

    64 \date{}

    65 

    66 % DOCUMENT STARTS

    67 \begin{document}

    68 

    69 \begin{frame}

    70   \maketitle

    71 \end{frame}

    72 

    73 \begin{frame}

    74   \frametitle{About the Session}

    75   \begin{block}{Goal}

    76 Finding least square fit of given data-set

    77   \end{block}

    78   \begin{block}{Checklist}

    79     \begin{itemize}

    80     \item pendulum.txt

    81   \end{itemize}

    82   \end{block}

    83 \end{frame}

    84 

    85 \begin{frame}[fragile]

    86 \frametitle{Solution of equations}

    87 Consider,

    88   \begin{align*}

    89     3x + 2y - z  & = 1 \\

    90     2x - 2y + 4z  & = -2 \\

    91     -x + \frac{1}{2}y -z & = 0

    92   \end{align*}

    93 Solution:

    94   \begin{align*}

    95     x & = 1 \\

    96     y & = -2 \\

    97     z & = -2

    98   \end{align*}

    99 \end{frame}

   100 

   101 \begin{frame}[fragile]

   102 \frametitle{Scipy Methods - \typ{roots}}

   103 \begin{itemize}

   104 \item Calculates the roots of polynomials

   105 \item To calculate the roots of $x^2-5x+6$ 

   106 \end{itemize}

   107 \begin{lstlisting}

   108   In []: coeffs = [1, -5, 6]

   109   In []: roots(coeffs)

   110   Out[]: array([3., 2.])

   111 \end{lstlisting}

   112 \vspace*{-.2in}

   113 \begin{center}

   114 \includegraphics[height=1.6in, interpolate=true]{data/roots}    

   115 \end{center}

   116 \end{frame}

   117 

   118 \begin{frame}[fragile]

   119 \frametitle{Scipy Methods - \typ{fsolve}}

   120 \begin{small}

   121 \begin{lstlisting}

   122   In []: from scipy.optimize import fsolve

   123 \end{lstlisting}

   124 \end{small}

   125 \begin{itemize}

   126 \item Finds the roots of a system of non-linear equations

   127 \item Input arguments - Function and initial estimate

   128 \item Returns the solution

   129 \end{itemize}

   130 \end{frame}

   131 

   132 \begin{frame}[fragile]

   133   \frametitle{Summary}

   134   \begin{block}{}

   135     \begin{itemize}

   136     \item Solving linear equations

   137     \item Finding roots

   138     \item Roots of non linear equations

   139     \item Basics of Functions

   140     \end{itemize}

   141   \end{block}    

   142 \end{frame}

   143 

   144 \begin{frame}

   145   \frametitle{Thank you!}  

   146   \begin{block}{}

   147   This session is part of \textcolor{blue}{FOSSEE} project funded by:

   148   \begin{center}

   149     \textcolor{blue}{NME through ICT from MHRD, Govt. of India}.

   150   \end{center}  

   151   \end{block}

   152 \end{frame}

   153 

   154 \end{document}