--- a/day1/session4.tex Wed Oct 28 16:05:14 2009 +0530
+++ b/day1/session4.tex Wed Oct 28 16:05:38 2009 +0530
@@ -136,14 +136,16 @@
\begin{frame}[fragile]
\frametitle{Matrices: Initializing}
\begin{lstlisting}
-In []: A = ([[5, 2, 4],
- [-3, 6, 2],
- [3, -3, 1]])
-
+In []: A = matrix([[ 1, 1, 2, -1],
+ [ 2, 5, -1, -9],
+ [ 2, 1, -1, 3],
+ [ 1, -3, 2, 7]])
In []: A
-Out[]: [[5, 2, 4],
- [-3, 6, 2],
- [3, -3, 1]]
+Out[]:
+matrix([[ 1, 1, 2, -1],
+ [ 2, 5, -1, -9],
+ [ 2, 1, -1, 3],
+ [ 1, -3, 2, 7]])
\end{lstlisting}
\end{frame}
@@ -153,10 +155,11 @@
\frametitle{Transpose of a Matrix}
\begin{lstlisting}
In []: linalg.transpose(A)
-Out[]:
-matrix([[ 5, -3, 3],
- [ 2, 6, -3],
- [ 4, 2, 1]])
+Out[]:
+matrix([[ 1, 2, 2, 1],
+ [ 1, 5, 1, -3],
+ [ 2, -1, -1, 2],
+ [-1, -9, 3, 7]])
\end{lstlisting}
\end{frame}
@@ -164,22 +167,23 @@
\frametitle{Sum of all elements}
\begin{lstlisting}
In []: linalg.sum(A)
-Out[]: 17
+Out[]: 12
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Matrix Addition}
\begin{lstlisting}
-In []: B = matrix([[3,2,-1],
- [2,-2,4],
- [-1, 0.5, -1]])
-
-In []: linalg.add(A, B)
+In []: B = matrix([[3,2,-1,5],
+ [2,-2,4,9],
+ [-1,0.5,-1,-7],
+ [9,-5,7,3]])
+In []: linalg.add(A,B)
Out[]:
-matrix([[ 8. , 4. , 3. ],
- [-1. , 4. , 6. ],
- [ 2. , -2.5, 0. ]])
+matrix([[ 4. , 3. , 1. , 4. ],
+ [ 4. , 3. , 3. , 0. ],
+ [ 1. , 1.5, -2. , -4. ],
+ [ 10. , -8. , 9. , 10. ]])
\end{lstlisting}
\end{frame}
@@ -188,9 +192,10 @@
\begin{lstlisting}
In []: linalg.multiply(A, B)
Out[]:
-matrix([[ 15. , 4. , -4. ],
- [ -6. , -12. , 8. ],
- [ -3. , -1.5, -1. ]])
+matrix([[ 3. , 2. , -2. , -5. ],
+ [ 4. , -10. , -4. , -81. ],
+ [ -2. , 0.5, 1. , -21. ],
+ [ 9. , 15. , 14. , 21. ]])
\end{lstlisting}
\end{frame}
@@ -200,9 +205,10 @@
\begin{lstlisting}
In []: linalg.inv(A)
Out[]:
-array([[ 0.28571429, -0.33333333, -0.47619048],
- [ 0.21428571, -0.16666667, -0.52380952],
- [-0.21428571, 0.5 , 0.85714286]])
+matrix([[-0.5 , 0.55, -0.15, 0.7 ],
+ [ 0.75, -0.5 , 0.5 , -0.75],
+ [ 0.5 , -0.15, -0.05, -0.1 ],
+ [ 0.25, -0.25, 0.25, -0.25]])
\end{lstlisting}
\end{small}
\end{frame}
@@ -211,7 +217,7 @@
\frametitle{Determinant}
\begin{lstlisting}
In []: det(A)
-Out[]: 42.0
+Out[66]: 80.0
\end{lstlisting}
\end{frame}
@@ -221,10 +227,11 @@
\begin{lstlisting}
In []: linalg.eig(A)
Out[]:
-(array([ 7., 2., 3.]),
- matrix([[-0.57735027, 0.42640143, 0.37139068],
- [ 0.57735027, 0.63960215, 0.74278135],
- [-0.57735027, -0.63960215, -0.55708601]]))
+(array([ 11.41026155, 3.71581643, -0.81723144, -2.30884654]),
+ matrix([[ 0.12300187, -0.53899627, 0.63269982, 0.56024583],
+ [ 0.8225266 , -0.67562403, -0.63919634, -0.20747251],
+ [-0.04763219, -0.47575453, -0.3709497 , -0.80066041],
+ [-0.55321941, -0.16331814, -0.23133374, 0.04497415]]))
\end{lstlisting}
\end{small}
\end{frame}
@@ -232,8 +239,8 @@
\begin{frame}[fragile]
\frametitle{Computing Norms}
\begin{lstlisting}
- In []: linalg.norm(A)
- Out[]: 10.63014581273465
+In []: linalg.norm(A)
+Out[]: 14.0
\end{lstlisting}
\end{frame}
@@ -243,14 +250,16 @@
\begin{lstlisting}
In []: linalg.svd(A)
Out[]:
-(matrix([[-0.13391246, -0.94558684, -0.29653495],
- [ 0.84641267, -0.26476432, 0.46204486],
- [-0.51541542, -0.18911737, 0.83581192]]),
- array([ 7.96445022, 7. , 0.75334767]),
- matrix([[-0.59703387, 0.79815896, 0.08057807],
- [-0.64299905, -0.41605821, -0.64299905],
- [-0.47969029, -0.43570384, 0.7616163 ]]))
- \end{lstlisting}
+(matrix([[-0.08588113, 0.29164297, -0.74892678, 0.58879325],
+ [-0.79093255, 0.39530483, -0.11188116, -0.45347812],
+ [ 0.1523891 , 0.78799358, 0.51966138, 0.29290907],
+ [ 0.58636823, 0.37113957, -0.39565558, -0.60156827]]),
+ array([ 13.17656506, 3.76954116, 2.79959047, 0.57531379]),
+ matrix([[-0.05893795, -0.42858358, 0.12442679, 0.89295039],
+ [ 0.80364672, 0.51537891, 0.03774111, 0.29514767],
+ [-0.11752501, 0.14226922, -0.96333552, 0.19476145],
+ [-0.58040171, 0.72832696, 0.23468759, 0.27855956]]))
+\end{lstlisting}
\end{small}
\end{frame}
@@ -282,8 +291,6 @@
In []: b = matrix([[1], [-2], [0]])
In []: x = linalg.solve(A, b)
In []: Ax = dot(A, x)
- In []: allclose(Ax, b)
- Out[]: True
\end{lstlisting}
\end{frame}
@@ -295,13 +302,44 @@
array([[ 1.],
[-2.],
[-2.]])
+\end{lstlisting}
+\end{frame}
+\begin{frame}[fragile]
+\frametitle{Let's check!}
+\begin{lstlisting}
In []: Ax
Out[]:
matrix([[ 1.00000000e+00],
[ -2.00000000e+00],
[ 2.22044605e-16]])
\end{lstlisting}
+\begin{block}{}
+The last term in the matrix is actually \alert{0}!\\
+We can use \kwrd{allclose()} to check.
+\end{block}
+\begin{lstlisting}
+In []: allclose(Ax, b)
+Out[]: True
+\end{lstlisting}
+\end{frame}
+
+\subsection{Exercises}
+
+\begin{frame}[fragile]
+\frametitle{Problem}
+
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Problem}
+Solve the set of equations:
+\begin{align*}
+ x + y + 2z -w & = 3\\
+ 2x + 5y - z - 9w & = -3\\
+ 2x + y -z + 3w & = -11 \\
+ x - 3y + 2z + 7w & = -5\\
+\end{align*}
\end{frame}
\section{Summary}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/day2/session2.tex Wed Oct 28 16:05:38 2009 +0530
@@ -0,0 +1,522 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
+% Copyright (c) 2005-2009, Prabhu Ramachandran
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+ \usetheme{Warsaw}
+ \useoutertheme{split}
+ \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+ basicstyle=\ttfamily\bfseries,
+ commentstyle=\color{red}\itshape,
+ stringstyle=\color{darkgreen},
+ showstringspaces=false,
+ keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar}
+ {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\texttt{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+% language=Python,
+% basicstyle=\small\ttfamily,
+% commentstyle=\ttfamily\color{blue},
+% stringstyle=\ttfamily\color{orange},
+% showstringspaces=false,
+% breaklines=true,
+% postbreak = \space\dots
+% }
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Basic Python]{Python:\\A formal approach}
+
+\author[FOSSEE Team] {The FOSSEE Group}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {1, November 2009\\Day 2, Session 2}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command:
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+ \titlepage
+\end{frame}
+
+\begin{frame}
+ \frametitle{Outline}
+ \tableofcontents
+ % You might wish to add the option [pausesections]
+\end{frame}
+
+\section{Data structures}
+\subsection{Lists}
+\begin{frame}[fragile]
+ \frametitle{Lists}
+\begin{block}{We already know that}
+ \begin{lstlisting}
+num = [1, 2, 3, 4, 5, 6, 7, 8]
+ \end{lstlisting}
+\centerline{is a list}
+\end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Lists: methods}
+ \begin{lstlisting}
+In []: num.reverse()
+In []: num
+Out[]: [8, 7, 6, 5, 4, 3, 2, 1]
+
+In []: num.extend([0, -1, -2])
+In []: num
+Out[]: [8, 7, 6, 5, 4, 3, 2, 1, 0, -1]
+
+In []: num.remove(0)
+In []: num
+Out[]: [8, 7, 6, 5, 4, 3, 2, 1, -1]
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{List containership}
+\begin{lstlisting}
+In []: a = 8
+
+In []: a in num
+Out[]: True
+
+In []: b = 10
+In []: b in num
+Out[]: False
+
+In []: b not in num
+Out[]: True
+\end{lstlisting}
+\end{frame}
+
+\subsection{Tuples}
+\begin{frame}[fragile]
+\frametitle{Tuples: Immutable lists}
+\begin{lstlisting}
+In []: t = (1, 2, 3, 4, 5, 6, 7, 8)
+In []: t[0] + t[3] + t[-1]
+Out[]: 13
+\end{lstlisting}
+\begin{block}{Note:}
+\begin{itemize}
+ \item Tuples are immutable - cannot be changed
+\end{itemize}
+\end{block}
+ \inctime{10}
+\end{frame}
+
+\begin{frame}
+ {A classic problem}
+ \begin{block}
+ {Interchange values}
+ How to interchange values of two variables?
+ \end{block}
+ \pause
+ \begin{block}{Note:}
+ This Python idiom works for all types of variables.\\
+They need not be of the same type!
+ \end{block}
+\end{frame}
+
+\subsection{Dictionaries}
+\begin{frame}[fragile]
+ \frametitle{Dictionaries: Recall}
+ \begin{lstlisting}
+In []: player = {'Mat': 134,'Inn': 233,
+ 'Runs': 10823, 'Avg': 52.53}
+
+In []: player['Avg']
+Out[]: 52.530000000000001
+ \end{lstlisting}
+ \begin{block}{Note!}
+ Duplicate keys are not allowed!\\
+ Dictionaries are iterable through keys.
+ \end{block}
+\end{frame}
+
+\begin{frame} {Problem Set 2.1: Problem 2.1.1}
+You are given date strings of the form ``29, Jul 2009'', or ``4 January 2008''. In other words a number a string and another number, with a comma sometimes separating the items.Write a function that takes such a string and returns a tuple (yyyy, mm, dd) where all three elements are ints.
+\end{frame}
+
+\subsection{Set}
+\begin{frame}[fragile]
+ \frametitle{Set}
+ \begin{itemize}
+ \item Simplest container, mutable
+ \item No ordering, no duplicates
+ \item usual suspects: union, intersection, subset \ldots
+ \item >, >=, <, <=, in, \ldots
+ \end{itemize}
+ \begin{lstlisting}
+>>> f10 = set([1,2,3,5,8])
+>>> p10 = set([2,3,5,7])
+>>> f10|p10
+set([1, 2, 3, 5, 7, 8])
+>>> f10&p10
+set([2, 3, 5])
+>>> f10-p10
+set([8, 1])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Set}
+ \begin{lstlisting}
+>>> p10-f10, f10^p10
+set([7]), set([1, 7, 8])
+>>> set([2,3]) < p10
+True
+>>> set([2,3]) <= p10
+True
+>>> 2 in p10
+True
+>>> 4 in p10
+False
+>>> len(f10)
+5
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Problem set 2.2}
+ \begin{description}
+ \item[2.2.1] Given a dictionary of the names of students and their marks, identify how many duplicate marks are there? and what are these?
+ \item[2.2.2] Given a string of the form ``4-7, 9, 12, 15'' find the numbers missing in this list for a given range.
+\end{description}
+\inctime{15}
+\end{frame}
+
+\section{Functions}
+\begin{frame}[fragile]
+ \frametitle{Functions}
+ \begin{itemize}
+ \item \kwrd{def} - keyword to define a function
+ \item Arguments are local to a function
+ \item Docstrings are important!
+ \item Functions can return multiple values
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Functions: example}
+ \begin{lstlisting}
+def signum( r ):
+ """returns 0 if r is zero
+ -1 if r is negative
+ +1 if r is positive"""
+ if r < 0:
+ return -1
+ elif r > 0:
+ return 1
+ else:
+ return 0
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ {What does this function do?}
+\begin{lstlisting}
+def what( n ):
+ i = 1
+ while i * i < n:
+ i += 1
+ return i * i == n, i
+ \end{lstlisting}
+\end{frame}
+
+\subsection{Default arguments}
+\begin{frame}[fragile]
+ \frametitle{Functions: default arguments}
+ \small
+ \begin{lstlisting}
+def ask_ok(prompt, complaint='Yes or no!'):
+ while True:
+ ok = raw_input(prompt)
+ if ok in ('y', 'ye', 'yes'):
+ return True
+ if ok in ('n', 'no', 'nop',
+ 'nope'):
+ return False
+ print complaint
+
+ask_ok('?')
+ask_ok('?', '[Y/N]')
+ \end{lstlisting}
+\end{frame}
+
+\subsection{Built-in functions}
+\begin{frame}
+ {Before writing a function}
+ \begin{itemize}
+ \item Variety of builtin functions are available
+ \item \typ{abs, any, all, len, max, min}
+ \item \typ{pow, range, sum, type}
+ \item Refer here:
+ \url{http://docs.python.org/library/functions.html}
+ \end{itemize}
+ \inctime{10}
+\end{frame}
+
+\subsection{Exercises}
+\begin{frame}{Problem set 3: Problem 3.1}
+ Write a function to return the gcd of two numbers.
+\end{frame}
+
+\begin{frame}{Problem 3.2}
+Write a program to print all primitive pythagorean triads (a, b, c) where a, b are in the range 1---100 \\
+A pythagorean triad $(a,b,c)$ has the property $a^2 + b^2 = c^2$.\\By primitive we mean triads that do not `depend' on others. For example, (4,3,5) is a variant of (3,4,5) and hence is not primitive. And (10,24,26) is easily derived from (5,12,13) and is also not primitive.
+\end{frame}
+
+\begin{frame}{Problem 3.3}
+ Write a program that generates a list of all four digit numbers that have all their digits even and are perfect squares.\newline\\\emph{For example, the output should include 6400 but not 8100 (one digit is odd) or 4248 (not a perfect square).}
+\inctime{15}
+\end{frame}
+
+\section{Modules}
+\begin{frame}[fragile]
+ {Modules}
+\begin{lstlisting}
+>>> sqrt(2)
+Traceback (most recent call last):
+ File "<stdin>", line 1, in <module>
+NameError: name 'sqrt' is not defined
+>>> import math
+>>> math.sqrt(2)
+1.4142135623730951
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ {Modules}
+ \begin{itemize}
+ \item The \kwrd{import} keyword ``loads'' a module
+ \item One can also use:
+ \begin{lstlisting}
+>>> from math import sqrt
+>>> from math import *
+ \end{lstlisting}
+ \item What is the difference?
+ \item \alert{Use the latter only in interactive mode}
+ \end{itemize}
+ \emphbar{Package hierarchies}
+ \begin{lstlisting}
+>>> from os.path import exists
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Modules: Standard library}
+ \begin{itemize}
+ \item Very powerful, ``Batteries included''
+ \item Some standard modules:
+ \begin{itemize}
+ \item Math: \typ{math}, \typ{random}
+ \item Internet access: \typ{urllib2}, \typ{smtplib}
+ \item System, Command line arguments: \typ{sys}
+ \item Operating system interface: \typ{os}
+ \item Regular expressions: \typ{re}
+ \item Compression: \typ{gzip}, \typ{zipfile}, and \typ{tarfile}
+ \item And a whole lot more!
+ \end{itemize}
+ \item Check out the Python Library reference:
+ \url{http://docs.python.org/library/}
+ \end{itemize}
+\inctime{5}
+\end{frame}
+
+\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{Code Layout}
+ \begin{itemize}
+ \item Indentation
+ \item Tabs or Spaces??
+ \item Maximum Line Length
+ \item Blank Lines
+ \item Encodings
+ \end{itemize}
+\end{frame}
+
+\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}{Comments}
+ \begin{itemize}
+ \item No comments better than contradicting comments
+ \item Block comments
+ \item Inline comments
+ \end{itemize}
+\end{frame}
+
+\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{Objects}
+\begin{frame}{Objects in general}
+ \begin{itemize}
+ \item What is an Object? (Types and classes)
+ \item identity
+ \item type
+ \item method
+ \end{itemize}
+\end{frame}
+
+\begin{frame}{Almost everything is an Object!}
+ \begin{itemize}
+ \item \typ{list}
+ \item \typ{tuple}
+ \item \typ{string}
+ \item \typ{dictionary}
+ \item \typ{function}
+ \item Of course, user defined class objects!
+ \end{itemize}
+\end {frame}
+
+\begin{frame}{Using Objects}
+ \begin{itemize}
+ \item Creating Objects: Initialization
+ \item Object Manipulation: Object methods and ``.'' operator
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Objects provide consistency}
+ \small
+ \begin{lstlisting}
+for element in (1, 2, 3):
+ print element
+for key in {'one':1, 'two':2}:
+ print key
+for char in "123":
+ print char
+for line in open("myfile.txt"):
+ print line
+for line in urllib2.urlopen('http://site.com'):
+ print line
+ \end{lstlisting}
+\inctime{10}
+\end{frame}
+
+\begin{frame}
+ \frametitle{What did we learn?}
+ \begin{itemize}
+ \item Lists, Tuples, Dictionaries, Sets: creation and manipulation
+ \item More about functions
+ \item Coding style
+ \item Objects: creation and manipulation
+ \end{itemize}
+\end{frame}
+
+\end{document}