2 files changed, 20 insertions, 49 deletions
diff --git a/day1/session5.tex b/day1/session5.tex
index 864cbab..36f89c0 100644
--- a/day1/session5.tex
+++ b/day1/session5.tex
@@ -141,7 +141,6 @@ In []: for line in open('pendulum.txt'):
            T.append(float(t))
 In []: L = array(L)
 In []: T = array(T)
-In []: Tsq = T*T
 \end{lstlisting}
 \end{frame}
 
@@ -300,6 +299,7 @@ In []: quad(f, 0, 1)
 \end{lstlisting}
 \begin{itemize}
 \item \typ{def}
+\item name
 \item arguments
 \item \typ{return}
 \end{itemize}
@@ -319,50 +319,7 @@ 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 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
-    (\alert{recommended!})
-  \item Function definition and execution defines a name bound to the
-    function
-  \item You \emph{can} assign a variable to a function!
-  \end{itemize}
+More on Functions later \ldots
 \end{frame}
 
 \begin{frame}[fragile]
@@ -392,5 +349,6 @@ Returns the integral and an estimate of the absolute error in the result.
   \item Quadrature
   \end{itemize}
 \end{frame}
+
 \end{document}
 
diff --git a/day1/session6.tex b/day1/session6.tex
index c929516..9ee3215 100644
--- a/day1/session6.tex
+++ b/day1/session6.tex
@@ -198,8 +198,8 @@ In []: pend_sol = odeint(pend_int,
 \begin{frame}[fragile]
 \frametitle{Initial Estimates}
 \begin{itemize}
-\item Find the roots of $cosx-x^2$ between $-\pi/2$ and $\pi/2$
-\item We shall use a crude method to get an initial estimate first
+\item Find roots of $cosx-x^2$ in $(-\pi/2, \pi/2)$
+\item How to get a rough initial estimate?
 \end{itemize}
 \begin{enumerate}
 \item Check for change of signs of $f(x)$ in the given interval
@@ -350,15 +350,28 @@ In []: pend_sol = odeint(pend_int,
 
 \begin{frame}[fragile]
 \frametitle{Scipy Methods \dots}
-\small{
+\begin{small}
 \begin{lstlisting}
 In []: from scipy.optimize import fixed_point
 
 In []: from scipy.optimize import bisect
 
 In []: from scipy.optimize import newton
-\end{lstlisting}}
+\end{lstlisting}
+\end{small}
 \end{frame}
 
+\begin{frame}
+  \frametitle{Things we have learned}
+  \begin{itemize}
+  \item Solving ODEs
+  \item Finding Roots
+    \begin{itemize}
+    \item Estimating Interval
+    \item Newton Raphson
+    \item Scipy methods
+    \end{itemize}
+  \end{itemize}
+\end{frame}
 
 \end{document}