74 \begin{frame}[fragile]

    75 \frametitle{\incqno }

    76 \begin{lstlisting}

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

    78 \end{lstlisting}

    79 How to change the third element (i.e.\ 3) of \lstinline+x+ to 0?

    80 \end{frame}

    81 

    82 \begin{frame}[fragile]

    83 \frametitle{\incqno }

    84 \begin{lstlisting}

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

    86                     [3,4,2,5]])

    87 \end{lstlisting}

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

    89 \begin{lstlisting}

    90 array([[2,3],

    91        [4,2]])

    92 \end{lstlisting}

    93 \end{frame}

    94 

    95 

    96 %% \begin{frame}

    97 %% \frametitle{\incqno }

    98 %% The file \lstinline+datafile.txt+ contains 3 columns of data.  What

    99 %% command will you use to read the entire data file into an array?

   100 %% \end{frame}

   101 

   102 %% \begin{frame}

   103 %% \frametitle{\incqno }

   104 

   105 %% If the contents of the file \lstinline+datafile.txt+ is read into an

   106 %% $N\times3$ array called \lstinline+data+, how would you obtain the third

   107 %% column of this data?

   108 

   109 %% \end{frame}

   110 

   111 \begin{frame}[fragile]

   112 \frametitle{\incqno }

   113 \begin{lstlisting}

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

   115                     [2,3,4,5]))

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

   117   In []: print x

   118 \end{lstlisting}

   119 What will be printed?

   120 \end{frame}

   121 

   122 

   123 %% \begin{frame}[fragile]

   124 %% \frametitle{\incqno }

   125 %% \begin{lstlisting}

   126 %%   In []: x = arange(0, 1, 0.25)

   127 %%   In []: print x

   128 %% \end{lstlisting}

   129 %% What will be printed?

   130 %% \end{frame}

   131 

   132 

   133 %% \begin{frame}[fragile]

   134 %% \frametitle{\incqno }

   135 %% \begin{lstlisting}

   136 %% from scipy.integrate import quad

   137 %% def f(x):

   138 %%     res = x*cos(x)

   139 

   140 %% quad(f, 0, 1)

   141 %% \end{lstlisting}

   142 

   143 %% What changes will you make to the above code to make it work?

   144 %% \end{frame}

   145 

   146 %% \begin{frame}

   147 %% \frametitle{\incqno }

   148 %% What two commands will you use to create and evaluate a spline given

   149 %% some data?

   150 %% \end{frame}

   151 

   152 \begin{frame}

   153 \frametitle{\incqno }

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

   155 \end{frame}

   156 

   157 \begin{frame}

   158 \frametitle{\incqno }

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

   160 x^3$?

   161 \end{frame}

   162 

   163 \begin{frame}

   164 \frametitle{\incqno }

   165 

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

   167 do you use to check if this is true?

   168 

   169 \end{frame}

   170 

   171 \begin{frame}[fragile]

   172 \frametitle{\incqno }

   173 \begin{lstlisting}

   174 In []: marks = [10, 20, 30, 50, 55, 

   175                75, 83] 

   176 \end{lstlisting}

   177 How will you convert the list \texttt{marks} to an \alert{array}?

   178 \end{frame}

   179 

   180 \begin{frame}[fragile]

   181 \frametitle{\incqno }

   182 \begin{lstlisting}

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

   184                   [3, 4]])

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

   186 \end{lstlisting}

   187 What is the resulting matrix?

   188 \end{frame}

   189 

   190 \begin{frame}[fragile]

   191 \frametitle{\incqno }

   192 \begin{lstlisting}

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

   194                   [3, 4]])

   195 \end{lstlisting}

   196 How do you get the transpose of this array?

   197 \end{frame}

   198 

   199 \begin{frame}[fragile]

   200 \frametitle{\incqno }

   201 \begin{lstlisting}

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

   203                   [3, 4]])

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

   205                   [2, 2]])

   206 In []: a*b

   207 \end{lstlisting}

   208 What does this produce?

   209 \end{frame}

   210 

   211 \begin{frame}

   212 \frametitle{\incqno }

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

   214 eigenvalues?

   215 \end{frame}

   216 

   217 \begin{frame}

   218 \frametitle{\incqno }

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

   220 you use to solve for the equation \\

   221 \texttt{Ax = b}?

   222 \end{frame}

   223 

   224 \end{document}

   225 

   226 %% \begin{frame}[fragile]

   227 %% \frametitle{\incqno }

   228 %% What would be the result?

   229 %% \begin{lstlisting}

   230 %%   In []: x

   231 %%   array([[0, 1, 2],

   232 %%          [3, 4, 5],

   233 %%          [6, 7, 8]])

   234 %%   In []: x[::-1,:]

   235 %% \end{lstlisting}

   236 %% Hint:

   237 %% \begin{lstlisting}

   238 %%   In []: x = arange(9)

   239 %%   In []: x[::-1]

   240 %%   array([8, 7, 6, 5, 4, 3, 2, 1, 0])

   241 %% \end{lstlisting}

   242 %% \end{frame}

   243 

   244 %% \begin{frame}[fragile]

   245 %% \frametitle{\incqno }

   246 %% What would be the result?

   247 %% \begin{lstlisting}

   248 %%   In []: y = arange(3)

   249 %%   In []: x = linspace(0,3,3)

   250 %%   In []: x-y

   251 %% \end{lstlisting}

   252 %% \end{frame}

   253 

   254 %% \begin{frame}[fragile]

   255 %% \frametitle{\incqno }

   256 %% \begin{lstlisting}

   257 %%   In []: x

   258 %%   array([[ 0, 1, 2, 3],

   259 %%          [ 4, 5, 6, 7],

   260 %%          [ 8, 9, 10, 11],

   261 %%          [12, 13, 14, 15]])

   262 %% \end{lstlisting}

   263 %% How will you get the following \lstinline+x+?

   264 %% \begin{lstlisting}

   265 %%   array([[ 5, 7],

   266 %%          [ 9, 11]])

   267 %% \end{lstlisting}

   268 %% \end{frame}

   269 

   270 %% \begin{frame}[fragile]

   271 %% \frametitle{\incqno }

   272 %% What would be the output?

   273 %% \begin{lstlisting}

   274 %%   In []: y = arange(4)

   275 %%   In []: x = array(([1,2,3,2],[1,3,6,0]))

   276 %%   In []: x + y

   277 %% \end{lstlisting}

   278 %% \end{frame}

   279 

   280 %% \begin{frame}[fragile]

   281 %% \frametitle{\incqno }

   282 %% \begin{lstlisting}

   283 %%   In []: line = plot(x, sin(x))

   284 %% \end{lstlisting}

   285 %% Use the \lstinline+set_linewidth+ method to set width of \lstinline+line+ to 2.

   286 %% \end{frame}

   287 

   288 %% \begin{frame}[fragile]

   289 %% \frametitle{\incqno }

   290 %% What would be the output?

   291 %% \begin{lstlisting}

   292 %%   In []: x = arange(9)

   293 %%   In []: y = arange(9.)

   294 %%   In []: x == y

   295 %% \end{lstlisting}

   296 %% \end{frame}

   297