76 \title[Solving Equations \& ODEs]{Python for Science and Engg:\\Solving Equations \& ODEs}

    76 \title[Solving Equations \& ODEs]{Python for Science and Engg:\\Solving Equations \& ODEs}

    77 

    77 

    78 \author[FOSSEE] {FOSSEE}

    78 \author[FOSSEE] {FOSSEE}

    79 

    79 

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

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

    82 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    82 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    83 

    83 

    84 %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}

    84 %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}

    85 %\logo{\pgfuseimage{iitmlogo}}

    85 %\logo{\pgfuseimage{iitmlogo}}

    86 

    86 

   161 \end{lstlisting}

   161 \end{lstlisting}

   162 \end{frame}

   162 \end{frame}

   163 

   163 

   164 \begin{frame}[fragile]

   164 \begin{frame}[fragile]

   165 \frametitle{Let's check!}

   165 \frametitle{Let's check!}

   166 \begin{lstlisting}

   167 \begin{lstlisting}

   167 In []: Ax = dot(A, x)

   168 In []: Ax = dot(A, x)

   168 In []: Ax

   169 In []: Ax

   169 Out[]: array([  1.00000000e+00,  -2.00000000e+00,  -1.11022302e-16])

   170 Out[]: array([  1.00000000e+00,  -2.00000000e+00,  -1.11022302e-16])

   170 \end{lstlisting}

   171 \end{lstlisting}

   171 \begin{block}{}

   173 \begin{block}{}

   172 The last term in the matrix is actually \alert{0}!\\

   174 The last term in the matrix is actually \alert{0}!\\

   173 We can use \kwrd{allclose()} to check.

   175 We can use \kwrd{allclose()} to check.

   174 \end{block}

   176 \end{block}

   175 \begin{lstlisting}

   177 \begin{lstlisting}