64 \begin{frame}[fragile]

    65 \frametitle{\incqno }

    66 \begin{lstlisting}

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

    68                   [3, 4]])

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

    70 \end{lstlisting}

    71 What is the resulting array?

    72 \end{frame}

    73 

    74 \begin{frame}[fragile]

    75 \frametitle{\incqno }

    76 \begin{lstlisting}

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

    78                     [2,3,4,5]))

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

    80   In []: print x

    81 \end{lstlisting}

    82 What will be printed?

    83 \end{frame}

    84 

    85 %% \begin{frame}[fragile]

    86 %% \frametitle{\incqno }

    87 %% \begin{lstlisting}

    88 %%   In []: x = array([[1,2,3,4],

    89 %%                     [3,4,2,5]])

    90 %% \end{lstlisting}

    91 %% What is the \lstinline+shape+ of this array?

    92 %% \end{frame}

    93 

    94 \begin{frame}[fragile]

    95 \frametitle{\incqno }

    96 \begin{lstlisting}

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

    98 \end{lstlisting}

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

   100 \end{frame}

   101 

   102 \begin{frame}[fragile]

   103 \frametitle{\incqno }

   104 \begin{lstlisting}

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

   106                     [3,4,2,5]])

   107 \end{lstlisting}

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

   109 \begin{lstlisting}

   110 array([[2,3],

   111        [4,2]])

   112 \end{lstlisting}

   113 \end{frame}

   114 

   115 \begin{frame}[fragile]

   116 \frametitle{\incqno }

   117 \begin{lstlisting}

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

   119                     [30,60,90],

   120                     [14,7,1]])

   121 \end{lstlisting}

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

   123 \end{frame}

   124 

   125 

   126 \begin{frame}[fragile]

   127 \frametitle{\incqno }

   128 \begin{lstlisting}

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

   130                   [3, 4]])

   131 \end{lstlisting}

   132 How do you get the transpose of this array?

   133 \end{frame}

   134 

   135 \begin{frame}[fragile]

   136 \frametitle{\incqno }

   137 \begin{lstlisting}

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

   139                   [3, 4]])

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

   141                   [2, 2]])

   142 In []: a*b

   143 \end{lstlisting}

   144 What does this produce?

   145 \end{frame}

   146 

   147 \begin{frame}

   148 \frametitle{\incqno }

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

   150 eigenvalues?

   151 \end{frame}

   152 

   153 %% \begin{frame}

   154 %% \frametitle{\incqno }

   155 %% The file \lstinline+datafile.txt+ contains 3 columns of data.  What

   156 %% command will you use to read the entire data file into an array?

   157 %% \end{frame}

   158 

   159 %% \begin{frame}

   160 %% \frametitle{\incqno }

   161 %% If the contents of the file \lstinline+datafile.txt+ is read into an

   162 %% $N\times3$ array called \lstinline+data+, how would you obtain the third

   163 %% column of this data?

   164 %% \end{frame}

   165 

   166 \begin{frame}

   167 \frametitle{\incqno }

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

   169 you use to solve for the equation \\

   170 \texttt{Ax = b}?

   171 \end{frame}

   172 

   173 \begin{frame}

   174 \frametitle{\incqno }

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

   176 \end{frame}

   177 

   178 \begin{frame}

   179 \frametitle{\incqno }

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

   181 x^3$?

   182 \end{frame}

   183 

   184 \begin{frame}

   185 \frametitle{\incqno }

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

   187 do you use to check if this is true?

   188 \end{frame}

   189 

   190 %% \begin{frame}[fragile]

   191 %% \frametitle{\incqno }

   192 %% \begin{lstlisting}

   193 %%   In []: x = arange(0, 1, 0.25)

   194 %%   In []: print x

   195 %% \end{lstlisting}

   196 %% What will be printed?

   197 %% \end{frame}

   198 

   199 

   200 %% \begin{frame}[fragile]

   201 %% \frametitle{\incqno }

   202 %% \begin{lstlisting}

   203 %% from scipy.integrate import quad

   204 %% def f(x):

   205 %%     res = x*cos(x)

   206 %% quad(f, 0, 1)

   207 %% \end{lstlisting}

   208 %% What changes will you make to the above code to make it work?

   209 %% \end{frame}

   210 

   211 %% \begin{frame}

   212 %% \frametitle{\incqno }

   213 %% What two commands will you use to create and evaluate a spline given

   214 %% some data?

   215 %% \end{frame}

   216 

   217 %% \begin{frame}[fragile]

   218 %% \frametitle{\incqno }

   219 %% What would be the result?

   220 %% \begin{lstlisting}

   221 %%   In []: x

   222 %%   array([[0, 1, 2],

   223 %%          [3, 4, 5],

   224 %%          [6, 7, 8]])

   225 %%   In []: x[::-1,:]

   226 %% \end{lstlisting}

   227 %% Hint:

   228 %% \begin{lstlisting}

   229 %%   In []: x = arange(9)

   230 %%   In []: x[::-1]

   231 %%   array([8, 7, 6, 5, 4, 3, 2, 1, 0])

   232 %% \end{lstlisting}

   233 %% \end{frame}

   234 

   235 %% \begin{frame}[fragile]

   236 %% \frametitle{\incqno }

   237 %% What would be the result?

   238 %% \begin{lstlisting}

   239 %%   In []: y = arange(3)

   240 %%   In []: x = linspace(0,3,3)

   241 %%   In []: x-y

   242 %% \end{lstlisting}

   243 %% \end{frame}

   244 

   245 %% \begin{frame}[fragile]

   246 %% \frametitle{\incqno }

   247 %% \begin{lstlisting}

   248 %%   In []: x

   249 %%   array([[ 0, 1, 2, 3],

   250 %%          [ 4, 5, 6, 7],

   251 %%          [ 8, 9, 10, 11],

   252 %%          [12, 13, 14, 15]])

   253 %% \end{lstlisting}

   254 %% How will you get the following \lstinline+x+?

   255 %% \begin{lstlisting}

   256 %%   array([[ 5, 7],

   257 %%          [ 9, 11]])

   258 %% \end{lstlisting}

   259 %% \end{frame}

   260 

   261 %% \begin{frame}[fragile]

   262 %% \frametitle{\incqno }

   263 %% What would be the output?

   264 %% \begin{lstlisting}

   265 %%   In []: y = arange(4)

   266 %%   In []: x = array(([1,2,3,2],[1,3,6,0]))

   267 %%   In []: x + y

   268 %% \end{lstlisting}

   269 %% \end{frame}

   270 

   271 %% \begin{frame}[fragile]

   272 %% \frametitle{\incqno }

   273 %% \begin{lstlisting}

   274 %%   In []: line = plot(x, sin(x))

   275 %% \end{lstlisting}

   276 %% Use the \lstinline+set_linewidth+ method to set width of \lstinline+line+ to 2.

   277 %% \end{frame}

   278 

   279 %% \begin{frame}[fragile]

   280 %% \frametitle{\incqno }

   281 %% What would be the output?

   282 %% \begin{lstlisting}

   283 %%   In []: x = arange(9)

   284 %%   In []: y = arange(9.)

   285 %%   In []: x == y

   286 %% \end{lstlisting}

   287 %% \end{frame}

   288 

   289