213 

   215 

   216 \subsection{Quadrature}

   217 

   218 \begin{frame}[fragile]

   219 \frametitle{Quadrature}

   220 \begin{itemize}

   221 \item We wish to find area under a curve

   222 \item Area under $(sin(x) + x^2)$ in $(0,1)$

   223 \item scipy has functions to do that

   224 \end{itemize}

   225 \small{\typ{In []: from scipy.integrate import quad}}

   226 \begin{itemize}

   227 \item Inputs - function to integrate, limits

   228 \end{itemize}

   229 \begin{lstlisting}

   230 In []: x = 0

   231 In []: integrate.quad(sin(x)+x**2, 0, 1)

   232 \end{lstlisting}

   233 \alert{\typ{error:}}

   234 \typ{First argument must be a callable function.}

   235 \end{frame}

   236 

   237 \begin{frame}[fragile]

   238 \frametitle{Functions - Definition}

   239 \begin{lstlisting}

   240 In []: def f(x):

   241            return sin(x)+x**2

   242 In []: integrate.quad(f, 0, 1)

   243 \end{lstlisting}

   244 \begin{itemize}

   245 \item \typ{def}

   246 \item arguments

   247 \item \typ{return}

   248 \end{itemize}

   249 \end{frame}

   250 

   251 \begin{frame}[fragile]

   252   \frametitle{More on functions}

   253   \begin{itemize}

   254   \item Support default and keyword arguments

   255   \item Scope of variables in the function is local

   256   \item Mutable items are \alert{passed by reference}

   257   \item First line after definition may be a documentation string

   258     (\alert{recommended!})

   259   \item Function definition and execution defines a name bound to the

   260     function

   261   \item You \emph{can} assign a variable to a function!

   262   \end{itemize}

   263 \end{frame}

   264