
diff -r b797cd67982b -r 41c34770d63a day1/session6.tex
--- a/day1/session6.tex	Tue Mar 23 00:09:50 2010 +0530
+++ b/day1/session6.tex	Mon Mar 29 15:55:07 2010 +0530
@@ -78,7 +78,7 @@
 \author[FOSSEE] {FOSSEE}
 
 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {08 March, 2010\\Day 1, Session 6}
+\date[] {02 April, 2010\\Day 1, Session 6}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
@@ -239,7 +239,7 @@
 
 \begin{frame}[fragile]
 \frametitle{\typ{fsolve}}
-Find the root of $sin(x)+cos^2(x)$ nearest to $0$
+Find the root of $sin(z)+cos^2(z)$ nearest to $0$
 \vspace{-0.1in}
 \begin{center}
 \includegraphics[height=2.8in, interpolate=true]{data/fsolve}    
@@ -248,18 +248,18 @@
 
 \begin{frame}[fragile]
 \frametitle{\typ{fsolve}}
-Root of $sin(x)+cos^2(x)$ nearest to $0$
+Root of $sin(z)+cos^2(z)$ nearest to $0$
 \begin{lstlisting}
-In []: fsolve(sin(x)+cos(x)*cos(x), 0)
-NameError: name 'x' is not defined
+In []: fsolve(sin(z)+cos(z)*cos(z), 0)
+NameError: name 'z' is not defined
 \end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
 \frametitle{\typ{fsolve}}
 \begin{lstlisting}
-In []: x = linspace(-pi, pi)
-In []: fsolve(sin(x)+cos(x)*cos(x), 0)
+In []: z = linspace(-pi, pi)
+In []: fsolve(sin(z)+cos(z)*cos(z), 0)
 \end{lstlisting}
 \begin{small}
 \alert{\typ{TypeError:}}
@@ -271,8 +271,8 @@
 \frametitle{Functions - Definition}
 We have been using them all along. Now let's see how to define them.
 \begin{lstlisting}
-In []: def f(x):
-           return sin(x)+cos(x)*cos(x)
+In []: def f(z):
+           return sin(z)+cos(z)*cos(z)
 \end{lstlisting}
 \begin{itemize}
 \item \typ{def}
@@ -285,7 +285,7 @@
 \begin{frame}[fragile]
 \frametitle{Functions - Calling them}
 \begin{lstlisting}
-In [15]: f()
+In []: f()
 ---------------------------------------
 \end{lstlisting}
 \alert{\typ{TypeError:}}\typ{f() takes exactly 1 argument}
@@ -301,7 +301,7 @@
 
 \begin{frame}[fragile]
 \frametitle{\typ{fsolve} \ldots}
-Find the root of $sin(x)+cos^2(x)$ nearest to $0$
+Find the root of $sin(z)+cos^2(z)$ nearest to $0$
 \begin{lstlisting}
 In []: fsolve(f, 0)
 Out[]: -0.66623943249251527
@@ -313,16 +313,16 @@
 
 \begin{frame}[fragile]
   \frametitle{Exercise Problem}
-  Find the root of the equation $x^2 - sin(x) + cos^2(x)$ nearest to $0$
+  Find the root of the equation $x^2 - sin(x) + cos^2(x) == tan(x)$ nearest to $0$
 \end{frame}
 
 \begin{frame}[fragile]
   \frametitle{Solution}
   \begin{small}
   \begin{lstlisting}
-    def f(x):
-        return x**2 - sin(x) + cos(x)*cos(x)
-    fsolve(f, 0)
+def f(x):
+    return x**2 - sin(x) + cos(x)*cos(x) - tan(x)
+fsolve(f, 0)
   \end{lstlisting}
   \end{small}
   \begin{center}




