# HG changeset patch
# User Puneeth Chaganti <punchagan@fossee.in>
# Date 1256621351 -19800
# Node ID 8a3a9d98fa84d291937b9a4f4979d0a553a5f7ec
# Parent  4ec0418ba0416bb8875cd987ed3000d0e34e7e3f
Changed functions section and some minor edits.

diff -r 4ec0418ba041 -r 8a3a9d98fa84 day1/session3.tex
--- a/day1/session3.tex	Mon Oct 26 20:44:54 2009 +0530
+++ b/day1/session3.tex	Tue Oct 27 10:59:11 2009 +0530
@@ -308,28 +308,20 @@
 \end{frame}
 
 \begin{frame}[fragile]
-\frametitle{Least Squares Fit}
-\vspace{-0.15in}
-\begin{figure}
-\includegraphics[width=4in]{data/least-sq-fit.png}
-\end{figure}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Calculating $T^2$ Efficiently}
+\frametitle{Dealing with data whole-sale}
 \begin{lstlisting}
 In []: for t in T:
  ....:     Tsq.append(t*t)
 \end{lstlisting}
 \begin{itemize}
 \item This is not very efficient
-\item We use arrays to make it efficient
+\item We are squaring element after element
+\item We use arrays to make this efficient
 \end{itemize}
 \begin{lstlisting}
 In []: L = array(L)
 In []: T = array(T)
 In []: Tsq = T*T
-In []: plot(L, Tsq, 'o')
 \end{lstlisting}
 \end{frame}
 
@@ -344,6 +336,22 @@
 \end{itemize}
 \end{frame}
 
+\begin{frame}[fragile]
+\frametitle{Least Squares Fit}
+\vspace{-0.15in}
+\begin{figure}
+\includegraphics[width=4in]{data/L-Tsq-Line.png}
+\end{figure}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Least Squares Fit}
+\vspace{-0.15in}
+\begin{figure}
+\includegraphics[width=4in]{data/least-sq-fit.png}
+\end{figure}
+\end{frame}
+
 \begin{frame}
 \frametitle{Least Square Fit Curve}
 \begin{itemize}
diff -r 4ec0418ba041 -r 8a3a9d98fa84 day1/session4.tex
--- a/day1/session4.tex	Mon Oct 26 20:44:54 2009 +0530
+++ b/day1/session4.tex	Tue Oct 27 10:59:11 2009 +0530
@@ -249,9 +249,55 @@
 \end{frame}
 
 \begin{frame}[fragile]
+\frametitle{Functions - Calling them}
+\begin{lstlisting}
+In [15]: f()
+---------------------------------------
+\end{lstlisting}
+\alert{\typ{TypeError:}}\typ{f() takes exactly 1 argument}
+\typ{(0 given)}
+\begin{lstlisting}
+In []: f(0)
+Out[]: 0.0
+In []: f(1)
+Out[]: 1.8414709848078965
+\end{lstlisting}
+\end{frame}
+
+
+\begin{frame}[fragile]
+\frametitle{Functions - Default Arguments}
+\begin{lstlisting}
+In []: def f(x=1):
+           return sin(x)+x**2
+In []: f(10)
+Out[]: 99.455978889110625
+In []: f(1)
+Out[]: 1.8414709848078965
+In []: f()
+Out[]: 1.8414709848078965
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Functions - Keyword Arguments}
+\begin{lstlisting}
+In []: def f(x=1, y=pi):
+           return sin(y)+x**2
+In []: f()
+Out[]: 1.0000000000000002
+In []: f(2)
+Out[]: 4.0
+In []: f(y=2)
+Out[]: 1.9092974268256817
+In []: f(y=pi/2,x=0)
+Out[]: 1.0
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
   \frametitle{More on functions}
   \begin{itemize}
-  \item Support default and keyword arguments
   \item Scope of variables in the function is local
   \item Mutable items are \alert{passed by reference}
   \item First line after definition may be a documentation string
@@ -262,6 +308,13 @@
   \end{itemize}
 \end{frame}
 
+\begin{frame}[fragile]
+\frametitle{Quadrature \ldots}
+\begin{lstlisting}
+In []: integrate.quad(f, 0, 1)
+\end{lstlisting}
+Returns the integral and an estimate of the absolute error in the result.
+\end{frame}
 
 \subsection{ODEs}