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+#+LaTeX_CLASS: beamer
+#+LaTeX_CLASS_OPTIONS: [presentation]
+#+BEAMER_FRAME_LEVEL: 1
+
+#+BEAMER_HEADER_EXTRA: \usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent}
+#+COLUMNS: %45ITEM %10BEAMER_env(Env) %10BEAMER_envargs(Env Args) %4BEAMER_col(Col) %8BEAMER_extra(Extra)
+#+PROPERTY: BEAMER_col_ALL 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 :ETC
+
+#+LaTeX_CLASS: beamer
+#+LaTeX_CLASS_OPTIONS: [presentation]
+
+#+LaTeX_HEADER: \usepackage[english]{babel} \usepackage{ae,aecompl}
+#+LaTeX_HEADER: \usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet}
+
+#+LaTeX_HEADER: \usepackage{listings}
+
+#+LaTeX_HEADER:\lstset{language=Python, basicstyle=\ttfamily\bfseries,
+#+LaTeX_HEADER: commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen},
+#+LaTeX_HEADER: showstringspaces=false, keywordstyle=\color{blue}\bfseries}
+
+#+TITLE:
+#+AUTHOR: FOSSEE
+#+EMAIL:
+#+DATE:
+
+#+DESCRIPTION:
+#+KEYWORDS:
+#+LANGUAGE: en
+#+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t
+#+OPTIONS: TeX:t LaTeX:nil skip:nil d:nil todo:nil pri:nil tags:not-in-toc
+
+*
+#+begin_latex
+\begin{center}
+\vspace{12pt}
+\textcolor{blue}{\huge Using Sage}
+\end{center}
+\vspace{18pt}
+\begin{center}
+\vspace{10pt}
+\includegraphics[scale=0.95]{../images/fossee-logo.png}\\
+\vspace{5pt}
+\scriptsize Developed by FOSSEE Team, IIT-Bombay. \\
+\scriptsize Funded by National Mission on Education through ICT\\
+\scriptsize MHRD,Govt. of India\\
+\includegraphics[scale=0.30]{../images/iitb-logo.png}\\
+\end{center}
+#+end_latex
+* Objectives
+ At the end of this tutorial, you will be able to,
+
+ - Learn the range of things for which Sage can be used.
+ - Know some of the functions for Calculus.
+ - Learn about graph theory and number theory using Sage.
+* Pre-requisite
+ Spoken tuorial on -
+ - Getting started with Sage
+* Equation
+ Ax = v,
+ where A is the matrix,'' matrix([[1,2],[3,4]])''
+ v is the vector, ''vector([1,2])''.
+* Summary
+In this tutorial, we have learnt to,
+ - Use functions for calculus like --
+ - lim()-- to find out the limit of a function
+ - diff()-- to find out the differentiation of an expression
+ - integrate()-- to integrate over an expression
+ - integral()-- to find out the definite integral of an
+ expression by specifying the limits
+ - solve()-- to solve a function, relative to it's postion.
+ - Create Both a simple graph and a directed graph, using the
+ functions ``graph()`` and ``digraph()`` respectively.
+ - Use functions for Number theory.For eg:
+ - primes\_range()-- to find out the prime numbers within the
+ specified range
+ - factor()-- to find out the factorized form of the number specified
+ - Permutations(), Combinations()-- to obtain the required permutation
+ and combinations for the given set of values.
+* Evaluation
+ 1. How do you find the limit of the function ``x/sin(x)`` as ``x`` tends
+ to ``0`` from the negative side.
+
+ 2. List all the primes between 2009 and 2900.
+
+ 3. Solve the system of linear equations
+
+ x-2y+3z = 7
+ 2x+3y-z = 5
+ x+2y+4z = 9
+* Solutions
+1. lim(x/sin(x), x=0, dir="below")
+
+2. prime\_range(2009, 2901)
+
+3. A = Matrix([[1, -2, 3],
+ [2, 3, -1],
+ [1, 2, 4]])
+
+ b = vector([7, 5, 9])
+
+ solve\_right(A, b)
+*
+#+begin_latex
+ \begin{block}{}
+ \begin{center}
+ \textcolor{blue}{\Large THANK YOU!}
+ \end{center}
+ \end{block}
+\begin{block}{}
+ \begin{center}
+ For more Information, visit our website\\
+ \url{http://fossee.in/}
+ \end{center}
+ \end{block}
+#+end_latex
+
+