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% Tutorial slides on Python.

%

% Author: FOSSEE <info at fossee  dot in>

% Copyright (c) 2005-2009, FOSSEE Team

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% Macros

\newcounter{qno}

\setcounter{qno}{0}

\newcommand{\incqno}{\addtocounter{qno}{1}{Question \theqno}}

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% Title page

\title[Basic Python]{Python for science and engineering: Day 1, Quiz 2}

\author[FOSSEE Team] {FOSSEE}

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

\date[] {\today \\

Day 1, quiz 2}

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\begin{document}

\begin{frame}

  \titlepage

\end{frame}

\begin{frame}

  \frametitle{Write your details...}

On the top right hand corner please write down the following:

  \begin{itemize}

    \item Name:

    \item University/College/Company:

    \item Student/Teacher/Professional:

  \end{itemize}

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

In []: a = array([[1, 2],

                  [3, 4]])

In []: a[1,0] = 0

\end{lstlisting}

What is the resulting array?

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

  In []: x = array(([1,2,3,4],

                    [2,3,4,5]))

  In []: x[-2][-3] = 4

  In []: print x

\end{lstlisting}

What will be printed?

\end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% \begin{lstlisting}

%%   In []: x = array([[1,2,3,4],

%%                     [3,4,2,5]])

%% \end{lstlisting}

%% What is the \lstinline+shape+ of this array?

%% \end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

  In []: x = array([[1,2,3,4]])

\end{lstlisting}

How to change \lstinline+x+ to \lstinline+array([[1,2,0,4]])+?

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

  In []: x = array([[1,2,3,4],

                    [3,4,2,5]])

\end{lstlisting}

How do you get the following slice of \lstinline+x+?

\begin{lstlisting}

array([[2,3],

       [4,2]])

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

  In []: x = array([[9,18,27],

                    [30,60,90],

                    [14,7,1]])

\end{lstlisting}

What is the output of \lstinline+x[::3,::3]+

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

In []: a = array([[1, 2],

                  [3, 4]])

\end{lstlisting}

How do you get the transpose of this array?

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

\begin{lstlisting}

In []: a = array([[1, 2],

                  [3, 4]])

In []: b = array([[1, 1],

                  [2, 2]])

In []: a*b

\end{lstlisting}

What does this produce?

\end{frame}

\begin{frame}

\frametitle{\incqno }

What command do you use to find the inverse of a matrix and its

eigenvalues?

\end{frame}

%% \begin{frame}

%% \frametitle{\incqno }

%% The file \lstinline+datafile.txt+ contains 3 columns of data.  What

%% command will you use to read the entire data file into an array?

%% \end{frame}

%% \begin{frame}

%% \frametitle{\incqno }

%% If the contents of the file \lstinline+datafile.txt+ is read into an

%% $N\times3$ array called \lstinline+data+, how would you obtain the third

%% column of this data?

%% \end{frame}

\begin{frame}

\frametitle{\incqno }

Given a 4x4 matrix \texttt{A} and a 4-vector \texttt{b}, what command do

you use to solve for the equation \\

\texttt{Ax = b}?

\end{frame}

\begin{frame}

\frametitle{\incqno }

What command will you use if you wish to integrate a system of ODEs?

\end{frame}

\begin{frame}

\frametitle{\incqno }

How do you calculate the roots of the polynomial, $y = 1 + 6x + 8x^2 +

x^3$?

\end{frame}

\begin{frame}

\frametitle{\incqno }

Two arrays \lstinline+a+ and \lstinline+b+ are numerically almost equal, what command

do you use to check if this is true?

\end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% \begin{lstlisting}

%%   In []: x = arange(0, 1, 0.25)

%%   In []: print x

%% \end{lstlisting}

%% What will be printed?

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% \begin{lstlisting}

%% from scipy.integrate import quad

%% def f(x):

%%     res = x*cos(x)

%% quad(f, 0, 1)

%% \end{lstlisting}

%% What changes will you make to the above code to make it work?

%% \end{frame}

%% \begin{frame}

%% \frametitle{\incqno }

%% What two commands will you use to create and evaluate a spline given

%% some data?

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% What would be the result?

%% \begin{lstlisting}

%%   In []: x

%%   array([[0, 1, 2],

%%          [3, 4, 5],

%%          [6, 7, 8]])

%%   In []: x[::-1,:]

%% \end{lstlisting}

%% Hint:

%% \begin{lstlisting}

%%   In []: x = arange(9)

%%   In []: x[::-1]

%%   array([8, 7, 6, 5, 4, 3, 2, 1, 0])

%% \end{lstlisting}

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% What would be the result?

%% \begin{lstlisting}

%%   In []: y = arange(3)

%%   In []: x = linspace(0,3,3)

%%   In []: x-y

%% \end{lstlisting}

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% \begin{lstlisting}

%%   In []: x

%%   array([[ 0, 1, 2, 3],

%%          [ 4, 5, 6, 7],

%%          [ 8, 9, 10, 11],

%%          [12, 13, 14, 15]])

%% \end{lstlisting}

%% How will you get the following \lstinline+x+?

%% \begin{lstlisting}

%%   array([[ 5, 7],

%%          [ 9, 11]])

%% \end{lstlisting}

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% What would be the output?

%% \begin{lstlisting}

%%   In []: y = arange(4)

%%   In []: x = array(([1,2,3,2],[1,3,6,0]))

%%   In []: x + y

%% \end{lstlisting}

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% \begin{lstlisting}

%%   In []: line = plot(x, sin(x))

%% \end{lstlisting}

%% Use the \lstinline+set_linewidth+ method to set width of \lstinline+line+ to 2.

%% \end{frame}

%% \begin{frame}[fragile]

%% \frametitle{\incqno }

%% What would be the output?

%% \begin{lstlisting}

%%   In []: x = arange(9)

%%   In []: y = arange(9.)

%%   In []: x == y

%% \end{lstlisting}

%% \end{frame}

\end{document}