day2/session4.tex
changeset 289 884d42eff66d
parent 288 c4e25269a86c
child 297 a835affb1447
--- a/day2/session4.tex	Fri Nov 06 18:33:08 2009 +0530
+++ b/day2/session4.tex	Fri Nov 06 18:36:42 2009 +0530
@@ -74,7 +74,7 @@
 
 \newcommand{\tvtk}{\texttt{tvtk}}
 \newcommand{\mlab}{\texttt{mlab}}
-
+\newcommand{\typ}[1]{\lstinline{#1}}
 \newcounter{time}
 \setcounter{time}{0}
 \newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
@@ -95,13 +95,12 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Title page
-\title[3D Plotting]{3D data Visualization}
+\title[Python Development]{Python Development}
 
 \author[FOSSEE] {FOSSEE}
 
 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {1 November, 2009\\Day 2, Session 5}
-
+\date[] {8 November, 2009\\Day 2, Session 4}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 %\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
@@ -110,7 +109,8 @@
 \AtBeginSection[]
 {
   \begin{frame}<beamer>
-    \frametitle{Outline}      
+    \frametitle{Outline}
+      \Large
     \tableofcontents[currentsection,currentsubsection]
   \end{frame}
 }
@@ -140,419 +140,423 @@
   \maketitle
 \end{frame}
 
-\begin{frame}
-  \frametitle{Outline}
-  \tableofcontents
-  % You might wish to add the option [pausesections]
-\end{frame}
-
-\section{3D Data Visualization}
-
-\begin{frame}
-    \frametitle{What is visualization?}
-    \Large
-    \begin{center}
-    Visual representation of data
-    \end{center}
-\end{frame}
-
+\section{Tests: Getting started}
+\begin{frame}[fragile] 
+  \frametitle{gcd revisited!}
+  \begin{itemize}
+  \item Open gcd.py
+  \end{itemize}  
+\begin{lstlisting}
+    def gcd(a, b):
+        if a % b == 0: 
+            return b
+        return gcd(b, a%b)
 
-%% \begin{frame}
-%%     \frametitle{Is this new?}    
-%%     \begin{center}
-%%     We have moved from:
-%%     \end{center}
-%%     \begin{columns}
-%%     \column{}
-%%     \hspace*{-1in}    
-%%     \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}      
-%%     \column{}\hspace*{-0.25in}
-%%     To
-%%     \column{}
-%%     \hspace*{-1in}
-%%     \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}  
-%%     \end{columns}
-%% \end{frame}
-
-\begin{frame}
-    \frametitle{3D visualization}
-    \Large
-    \begin{center}
-        Harder but important
-    \end{center}
+    print gcd(15, 65)
+    print gcd(16, 76)
+\end{lstlisting}
+  \begin{itemize}
+  \item python gcd.py
+  \end{itemize}
 \end{frame}
 
-\begin{frame}
-    \frametitle{Is this Graphics?}
-    \Large
-    \begin{center}
-        Visualization is about data!
-    \end{center}
-\end{frame}
-
-\begin{frame}
-    \frametitle{Examples: trajectory in space}
-    \Large
-    \begin{center}
-        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
-    \end{center}
-\end{frame}
-
-\begin{frame}
-    \frametitle{Examples: Fire in a room}
-    \Large
-    \begin{center}
-        Demo of data
-    \end{center}
-\inctime{10}
+\begin{frame}[fragile] 
+  \frametitle{Find lcm using our gcd module}
+  \begin{itemize}
+  \item Open lcm.py  
+  \item $lcm = \frac{a*b}{gcd(a,b)}$
+  \end{itemize}  
+\begin{lstlisting}
+    from gcd import gcd    
+    def lcm(a, b):
+        return (a * b) / gcd(a, b)
+    
+    print lcm(14, 56)
+\end{lstlisting}
+  \begin{itemize}
+  \item python lcm.py
+  \end{itemize}
+  \begin{lstlisting}
+5
+4
+56
+  \end{lstlisting}    
 \end{frame}
 
-\section{Tools available}
-
-\subsection{mlab}
+\begin{frame}[fragile] 
+  \frametitle{Writing stand-alone module}  
+Edit gcd.py file to:
+\begin{lstlisting}
+    def gcd(a, b):
+        if a % b == 0: 
+            return b
+        return gcd(b, a%b)
 
-\begin{frame}
-    {Overview}
-    \Large
-    \begin{itemize}
-        \item Simple
-        \item Convenient
-        \item Full-featured
-    \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-
-    \frametitle{Getting started}
-    \myemph{\Large Vanilla:}
-    \begin{lstlisting}[language=bash]
-        $ ipython -wthread
-    \end{lstlisting}
-    \myemph{\Large with Pylab:}
-    \begin{lstlisting}[language=bash]
-        $ ipython -pylab -wthread
-    \end{lstlisting}
+    if __name__ == "__main__":        
+        print gcd(15, 65)
+        print gcd(16, 76)
+\end{lstlisting}
+  \begin{itemize}
+  \item python gcd.py
+  \item python lcm.py
+  \end{itemize}
 \end{frame}
 
 \begin{frame}[fragile]
-    \frametitle{Using mlab}
-
-    \begin{lstlisting}
-In []:from enthought.mayavi import mlab
-    \end{lstlisting}
-
-    \vspace*{0.5in}
-
-    \myemph{\Large Try these}
-
-    \vspace*{0.25in}
-
-    \begin{lstlisting}
-In []: mlab.test_<TAB>
-In []: mlab.test_contour3d()
-In []: mlab.test_contour3d??
-    \end{lstlisting}
+  \frametitle{More use of main}
+  For automating tests.
+  \begin{lstlisting}
+if __name__ == '__main__':
+    for line in open('numbers.txt'):
+        numbers = line.split()
+        x = int(numbers[0])
+        y = int(numbers[1])
+        result = (int(numbers[2]))
+        assert gcd(x, y) == result
+  \end{lstlisting}  
 \end{frame}
 
-\begin{frame}
-    {Exploring the view}
-    \begin{columns}
-        \column{0.6\textwidth}
-    \pgfimage[width=3in]{MEDIA/m2/contour3d}
-        \column{0.4\textwidth}
-        \begin{itemize}
-            \item Mouse
-            \item Keyboard
-            \item Toolbar
-            \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
-        \end{itemize}
-    \end{columns}
+\section{Coding Style}
+\begin{frame}{Readability and Consistency}
+    \begin{itemize}
+        \item Readability Counts!\\Code is read more often than its written.
+        \item Consistency!
+        \item Know when to be inconsistent.
+      \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile] \frametitle{A question of good style}
+  \begin{lstlisting}
+    amount = 12.68
+    denom = 0.05
+    nCoins = round(amount/denom)
+    rAmount = nCoins * denom
+  \end{lstlisting}
+  \pause
+  \begin{block}{Style Rule \#1}
+    Naming is 80\% of programming
+  \end{block}
 \end{frame}
 
 \begin{frame}[fragile]
-    \frametitle{\mlab\ plotting functions}
-    \begin{columns}
-        \column{0.25\textwidth}
-        \myemph{\Large 0D data}
-        \column{0.5\textwidth}
-    \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
-    \end{columns}
+  \frametitle{Code Layout}
+  \begin{itemize}
+        \item Indentation
+        \item Tabs or Spaces??
+        \item Maximum Line Length
+        \item Blank Lines
+        \item Encodings
+   \end{itemize}
+\end{frame}
 
-    \begin{lstlisting}
-In []: t = linspace(0, 2*pi, 50)
-In []: u = cos(t) * pi
-In []: x, y, z = sin(u), cos(u), sin(t)
-    \end{lstlisting}
-    \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
+\begin{frame}{Whitespaces in Expressions}
+  \begin{itemize}
+        \item When to use extraneous whitespaces??
+        \item When to avoid extra whitespaces??
+        \item Use one statement per line
+   \end{itemize}
 \end{frame}
 
-\begin{frame}
-  \begin{columns}
-        \column{0.25\textwidth}
-        \myemph{\Large 1D data}
-        \column{0.5\textwidth}
-        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
-  \end{columns}
-  \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
+\begin{frame}{Comments}
+  \begin{itemize}
+        \item No comments better than contradicting comments
+        \item Block comments
+        \item Inline comments
+   \end{itemize}
+\end{frame}
 
-    Plots lines between the points
-    
+\begin{frame}{Docstrings}
+  \begin{itemize}
+        \item When to write docstrings?
+        \item Ending the docstrings
+        \item One liner docstrings
+   \end{itemize}
+More information at PEP8: http://www.python.org/dev/peps/pep-0008/
+\inctime{5}
+\end{frame}
+
+\section{Debugging}
+\subsection{Errors and Exceptions}
+\begin{frame}[fragile]
+ \frametitle{Errors}
+ \begin{lstlisting}
+In []: while True print 'Hello world'
+ \end{lstlisting}
+\pause
+  \begin{lstlisting}
+  File "<stdin>", line 1, in ?
+    while True print 'Hello world'
+                   ^
+SyntaxError: invalid syntax
+\end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
-    \begin{columns}
-        \column{0.25\textwidth}
-        \myemph{\Large 2D data}
-        \column{0.5\textwidth}
-        \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
-    \end{columns}            
-    \begin{lstlisting}
-In []: x, y = mgrid[-3:3:100j,-3:3:100j]
-In []: z = sin(x*x + y*y)
-    \end{lstlisting}
-
-    \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
-
-    \alert{Assumes the points are rectilinear}
-
+ \frametitle{Exceptions}
+ \begin{lstlisting}
+In []: print spam
+\end{lstlisting}
+\pause
+\begin{lstlisting}
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+NameError: name 'spam' is not defined
+\end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{mgrid}
-  \begin{lstlisting}
-In []: mgrid[0:3,0:3]
-Out[]: 
-array([[[0, 0, 0],
-        [1, 1, 1],
-        [2, 2, 2]],
-
-       [[0, 1, 2],
-        [0, 1, 2],
-        [0, 1, 2]]])
-
-In []: mgrid[-1:1:5j]
-Out[]: array([-1., -0.5,  0.,  0.5,  1.])
+ \frametitle{Exceptions}
+ \begin{lstlisting}
+In []: 1 / 0
+\end{lstlisting}
+\pause
+\begin{lstlisting}
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+ZeroDivisionError: integer division 
+or modulo by zero
 \end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{Example}
+  \frametitle{Handling Exceptions}
+  Python uses \typ{try} and \typ{except} clause.
+  %%Revisiting the raw\_input
   \begin{lstlisting}
-In []: x, y = mgrid[-1:1:5j, -1:1:5j]
-In []: z = x*x + y*y
+a = raw_input('Enter number(Q to quit):')
+try:
+    num = int(a)
+    print num
+except:
+    if a == 'Q':
+        print 'Exiting...'
+    else:
+        print 'Wrong input!'      
+  \end{lstlisting}
+  
+  
+\end{frame}
 
-In []: z
-Out[]: 
-array([[ 2.  , 1.25, 1.  , 1.25, 2.  ],
-       [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
-       [ 1.  , 0.25, 0.  , 0.25, 1.  ],
-       [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
-       [ 2.  , 1.25, 1.  , 1.25, 2.  ]])
-\end{lstlisting}
+%% \begin{frame}[fragile]
+%%   \frametitle{Solving it with \typ{try} and \typ{except}}
+%% \vspace{-0.2in}
+%%   \begin{lstlisting}
+%% highest = 0
+%% for record in open('sslc1.txt'):
+%%     fields = record.split(';')
+%%     try:
+%%         total = 0
+%%         for score_str in fields[3:8]:
+%%             score = int(score_str)
+%%             total += score
+%%         if total > highest:
+%%             highest = total
+%%     except:        
+%%         pass
+%% print highest
+%%   \end{lstlisting}
+%% \end{frame}
+\subsection{Strategy}
+\begin{frame}[fragile]
+    \frametitle{Debugging effectively}
+    \begin{itemize}
+        \item \typ{print} based strategy
+        \item Process:
+    \end{itemize}
+\begin{center}
+\pgfimage[interpolate=true,width=5cm,height=5cm]{DebugginDiagram.png}
+\end{center}
 \end{frame}
 
 \begin{frame}[fragile]
-    \myemph{\Large 2D data: \texttt{mlab.mesh}}
-    \vspace*{0.25in}
-
-    \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}}
-
-    \alert{Points needn't be regular}
-
-    \vspace*{0.25in}
-\begin{lstlisting}
-In []: phi, theta = mgrid[0:pi:20j, 
-...                         0:2*pi:20j]
-In []: x = sin(phi)*cos(theta)
-In []: y = sin(phi)*sin(theta)
-In []: z = cos(phi)
-In []: mlab.mesh(x, y, z, 
-...           representation=
-...           'wireframe')
-\end{lstlisting}
-
-\end{frame}
-
-\begin{frame}[fragile]
-
-  \begin{columns}
-        \column{0.25\textwidth}
-        \myemph{\Large 3D data}
-        \column{0.5\textwidth}
-        \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\        
-    \end{columns}
-\begin{lstlisting}
-In []: x, y, z = mgrid[-5:5:64j, 
-...                -5:5:64j, 
-...                -5:5:64j]
-In []: mlab.contour3d(x*x*0.5 + y*y + 
-                   z*z*2)
-\end{lstlisting}
+    \frametitle{Debugging effectively}
+    \begin{itemize}
+      \item Using \typ{\%debug} in IPython
+    \end{itemize}
 \end{frame}
 
 \begin{frame}[fragile]
-
-    \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
-    \vspace*{0.25in}
+\frametitle{Debugging in IPython}
+\small
+\begin{lstlisting}
+In []: import mymodule
+In []: mymodule.test()
+---------------------------------------------
+NameError   Traceback (most recent call last)
+<ipython console> in <module>()
+mymodule.py in test()
+      1 def test():
+----> 2     print spam
+NameError: global name 'spam' is not defined
 
-    \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
-    
-\begin{lstlisting}
-In []: mlab.test_quiver3d()
+In []: %debug
+> mymodule.py(2)test()
+      0     print spam
+ipdb> 
 \end{lstlisting}
-
-\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
-\inctime{20}
+\inctime{15} 
 \end{frame}
 
+\subsection{Exercise}
+\begin{frame}[fragile]
+\frametitle{Debugging: Exercise}
+\small
+\begin{lstlisting}
+science = {}
 
-\subsection{Mayavi2}
+for record in open('sslc1.txt'):
+    fields = record.split(';')
+    region_code = fields[0].strip()
+
+    score_str = fields[6].strip()
+    score = int(score_str) if score_str != 'AA' 
+                           else 0
+
+    if score > 90:
+        science[region_code] += 1
 
+pie(science.values(), labels=science.keys())
+savefig('science.png')
+\end{lstlisting}
+\inctime{10}
+\end{frame}
+
+%% \begin{frame}
+%%     \frametitle{Testing}
+   
+%%     \begin{itemize}
+%%         \item Writing tests is really simple!
+
+%%         \item Using nose.
+
+%%         \item Example!
+%%     \end{itemize}
+%% \end{frame}
+
+\section{Test Driven Approach}
 \begin{frame}
-  \frametitle{Introduction to Mayavi}
-  \begin{itemize}
-  \item Most scientists not interested in details of visualization
-  \item Visualization of data files with a nice UI
-  \item Interactive visualization of data (think Matlab)
-  \item Embedding visualizations in applications
-  \item Customization
-  \end{itemize}
-  \pause
-  \begin{block}{The Goal}
-      Provide a \alert{flexible} library/app for all of these needs!
-  \end{block}
+    \frametitle{Need for Testing!}
+   
+    \begin{itemize}
+        \item Quality
+        \item Regression
+        \item Documentation
+    \end{itemize}
+    %% \vspace*{0.25in}
+    %% \emphbar{It is to assure that section of code is working as it is supposed to work}
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Example}
+    \begin{block}{Problem Statement}
+      Write a function to check whether a given input
+      string is a palindrome.
+    \end{block}
 \end{frame}
 
-\begin{frame}
-    {Overview of features}
-      \vspace*{-0.3in}
-  \begin{center}    
-    \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
-  \end{center}    
+\begin{frame}[fragile]
+    \frametitle{Function: palindrome.py}
+\begin{lstlisting}    
+def is_palindrome(input_str):
+  return input_str == input_str[::-1]
+\end{lstlisting}    
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Test for the palindrome: palindrome.py}
+\begin{lstlisting}    
+def test_function_normal_words():
+  input = "noon"
+  assert is_palindrome(input) == True
+
+if __name__ == "main'':
+  test_function_normal_words()
+\end{lstlisting}    
+\end{frame}
+
+\begin{frame}[fragile]
+    \frametitle{Running the tests.}
+\begin{lstlisting}    
+$ nosetests palindrome.py 
+.
+----------------------------------------------
+Ran 1 test in 0.001s
+
+OK
+\end{lstlisting}    
 \end{frame}
 
-
-\begin{frame}
-    \frametitle{Mayavi in applications}
-      \vspace*{-0.3in}
-  \begin{center}    
-    \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
-  \end{center}
+\begin{frame}[fragile]
+    \frametitle{Exercise: Including new tests.}
+\begin{lstlisting}    
+def test_function_ignore_cases_words():
+  input = "Noon"
+  assert is_palindrome(input) == True
+\end{lstlisting}
+     \vspace*{0.25in}
+     Check\\
+     \PythonCode{$ nosetests palindrome.py} \\
+     \begin{block}{Task}
+     Tweak the code to pass this test.
+     \end{block}
 \end{frame}
 
-\begin{frame}
-    \frametitle{Live in your dialogs}
-      \vspace*{0.1in}
-  \begin{center}    
-    \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
-  \end{center}
-\end{frame}
+%\begin{frame}[fragile]
+%    \frametitle{Lets write some test!}
+%\begin{lstlisting}    
+%#for form of equation y=mx+c
+%#given m and c for two equation,
+%#finding the intersection point.
+%def intersect(m1,c1,m2,c2):
+%    x = (c2-c1)/(m1-m2)
+%    y = m1*x+c1
+%    return (x,y)
+%\end{lstlisting}
+%
+%Create a simple test for this
+%
+%function which will make it fail.
+%
+%\inctime{15} 
+%\end{frame}
+%
 
-\begin{frame}
-    {Exploring the documentation}
-    \begin{center}
-    \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
-    \end{center}
-\end{frame}
-
+%% \begin{frame}[fragile]
+%%     \frametitle{Exercise}
+%%     Based on Euclid's algorithm:
+%%     \begin{center}
+%%     $gcd(a,b)=gcd(b,b\%a)$
+%%     \end{center}
+%%     gcd function can be written as:
+%%     \begin{lstlisting}
+%%     def gcd(a, b):
+%%       if a%b == 0: return b
+%%       return gcd(b, a%b)
+%%     \end{lstlisting}
+%%     \vspace*{-0.15in}
+%%     \begin{block}{Task}
+%%       \begin{itemize}
+%%       \item Write at least 
+%%         two tests for above mentioned function.
+%%       \item Write a non recursive implementation
+%%       of gcd(), and test it using already 
+%%       written tests.
+%%       \end{itemize}
+%%     \end{block}
+    
+%% \inctime{15} 
+%% \end{frame}
 
 \begin{frame}
   \frametitle{Summary}
-      \begin{itemize}
-          \item \url{http://code.enthought.com/projects/mayavi}
-          \item Uses VTK (\url{www.vtk.org})
-          \item BSD license
-          \item Linux, win32 and Mac OS X
-          \item Highly scriptable
-          \item Embed in Traits UIs (wxPython and PyQt4)
-          \item Envisage Plugins
-          \item Debian/Ubuntu/Fedora
-          \item \alert{Pythonic}
-      \end{itemize}
-    
-      \inctime{10}
-
-\end{frame}
-
-\begin{frame}
-    {Getting hands dirty!}
-
-        \begin{block}{Motivational problem}
-        Atmospheric data of temperature over the surface of the earth.
-        Let temperature ($T$) vary linearly with height ($z$):
-        \begin{center}            
-        $T = 288.15 - 6.5z$
-        \end{center}
-        \end{block}
-\end{frame}
-
-\begin{frame}[fragile]
-    \frametitle{Simple solution}
-
-    \begin{lstlisting}
-lat = linspace(-89, 89, 37)
-lon = linspace(0, 360, 37)
-z = linspace(0, 100, 11)
-    \end{lstlisting}
-\pause
-    \begin{lstlisting}
-x, y, z = mgrid[0:360:37j,-89:89:37j,
-                0:100:11j]
-t = 288.15 - 6.5*z
-mlab.contour3d(x, y, z, t)
-mlab.outline()
-mlab.colorbar()
-    \end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
-    \frametitle{Exercise: Lorenz equation}
-    \begin{columns}
-        \column{0.25\textwidth}
-        \begin{eqnarray*}
-        \frac{d x}{dt} &=& s (y-x)\\
-        \frac{d y}{d t} &=& rx -y -xz\\
-        \frac{d z}{d t} &=& xy - bz\\
-        \end{eqnarray*}
-        \column{0.25\textwidth}
-        Let $s=10,$
-        $r=28,$ 
-        $b=8./3.$
-    \end{columns}
-    \structure{\Large Region of interest}
-  \begin{lstlisting}
-x, y, z = mgrid[-50:50:20j,-50:50:20j,
-                -10:60:20j]
-  \end{lstlisting}
-\inctime{20}
-
-\end{frame}
-\begin{frame}[fragile]
-    \frametitle{Solution}
-  \begin{lstlisting}
-def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
-    u = s*(y-x)
-    v = r*x-y-x*z
-    w = x*y-b*z
-    return u,v,w
-x,y,z = mgrid [-50:50:20j,-50:50:20j,
-                    -10:60:20j ]
-u,v,w = lorenz( x , y , z )
-# Your plot here
-#
-mlab.show()
-
-  \end{lstlisting}
-\end{frame}
-
-\begin{frame}
-  \frametitle{We have covered:}
+We have coverd:
   \begin{itemize}
-  \item Need of visualization.
-  \item Using mlab to create 3 D plots.
-  \item Mayavi Toolkit.
+  \item Following and Resolving Error Messages.
+  \item Exceptions.
+  \item Handling exceptions
+  \item Approach for Debugging.
+  \item Writting and running tests.
   \end{itemize}
 \end{frame}
 
 \end{document}
-