diff -r 8999d0a3fc9d -r 5dc6c3673f9d day1/day1quiz2.tex --- a/day1/day1quiz2.tex Sun Jan 10 23:09:00 2010 +0530 +++ b/day1/day1quiz2.tex Tue Jan 12 19:03:34 2010 +0530 @@ -61,6 +61,232 @@ \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}