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diff --git a/using_sage_for_calculus/slides.tex b/using_sage_for_calculus/slides.tex new file mode 100644 index 0000000..c9b58e6 --- /dev/null +++ b/using_sage_for_calculus/slides.tex @@ -0,0 +1,200 @@ +\documentclass[17pt]{beamer} +\usetheme{Madrid} +\useoutertheme{noslidenum} +\setbeamertemplate{navigation symbols}{} +\usepackage{beamerthemesplit} +\usepackage{ae,aecompl} +\usepackage[scaled=.95]{helvet} +\usepackage[english]{babel} +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{mathpazo,courier,euler} +\usepackage{listings} + +\lstset{language=sh, + basicstyle=\ttfamily\bfseries, + showstringspaces=false, + keywordstyle=\color{black}\bfseries} + +\definecolor{NavyBlue}{RGB}{0, 76, 153} +\setbeamercolor{structure}{fg=NavyBlue} +\author[FOSSEE]{} +\institute[IIT Bombay]{} +\date[]{} + +% theme split +\usepackage{verbatim} +\newenvironment{colorverbatim}[1][]% +{% +\color{blue} +\verbatim +}% +{% +\endverbatim +}% + +% logo +\logo{\includegraphics[height=1.30 cm]{../images/3t-logo.pdf}} +\logo{\includegraphics[height=1.30 cm]{../images/fossee-logo.png} + +\hspace{7.5cm} +\includegraphics[scale=0.3]{../images/fossee-logo.png}\\ +\hspace{281pt} +\includegraphics[scale=0.80]{../images/3t-logo.pdf}} + +\begin{document} + +\sffamily \bfseries +\title +[Using Sage for Calculus] +{Using Sage for Calculus} +\author +[FOSSEE] +{\small Talk to a Teacher\\{\color{blue}\url{http://spoken-tutorial.org}}\\National Mission on Education + through ICT\\{\color{blue}\url{http://sakshat.ac.in}} \\ [0.8cm]Script by: Hardik Ghaghada \\Narration by: \\ [0.7cm] +{\small 15 May 2013}} + +% slide 1 +\begin{frame} + \titlepage +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Objectives} + At the end of this tutorial, you will be able to, +\begin{itemize} +\item Learn the range of things for which Sage can be used. +\item Perform integrations \& other Calculus in Sage. +\item Perform matrix algebra in sage. +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Differential Expression} +$exp(sin(x^2))/x$\\ +w.r.t $x$ +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Partial Differential Expression} +$exp(sin(y - x^2))/x$\\ +w.r.t $x, y$ +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Integration} +\begin{itemize} +\item $diff(f, y)$\\ +\item $cos(-x^2 + y)*e^(sin(-x^2 + y))/x$\\ +\item $integrate$ +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{More on Calculus} +\url{www.sagemath.org/help.html} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Equation} + $Ax = v$\\ + where A is the matrix,\\ + $matrix([[1,2],[3,4]])$\\ + v is the vector,\\ + $vector([1,2])$ +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Summary} +In this tutorial, we have learnt to, +\begin{itemize} +\item Use functions like lim(), integrate(), integral(), solve() +\item Use sage for performing matrix algebra, integrations \& other calculus +operations using the above mentioned functions. +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Evaluation} +\begin{enumerate} +\item How do you find the limit of the function ``x/sin(x)'' as ``x'' tends + to ``0'' from the negative side. +\vspace{3pt} +\vspace{3pt} +\item Solve the system of linear equations + x-2y+3z = 7\\ + 2x+3y-z = 5\\ + x+2y+4z = 9 +\end{enumerate} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Solutions} +\begin{enumerate} +\item lim(x/sin(x), x=0, dir=`left') +\vspace{4pt} +\item A = Matrix([[1, -2, 3], \\ +\hspace{1.78cm} + [2, 3, -1], \\ +\hspace{1.78cm} + [1, 2, 4]]) \\ +\vspace{2pt} + b = vector([7, 5, 9])\\ +\vspace{2pt} + x = A.solve$\_{\mathrm{right}}$(b)\\ +\vspace{2pt} + x +\end{enumerate} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{FOSSEE} +{\color{blue}Free and Open-source Software for \\Science and Engineering Education} \\ +\begin{itemize} +\item Goal - enabling all to use open source software tools +\item For more details, please visit {\color{blue}\url{http://fossee.in/}} +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{About the Spoken Tutorial Project} +\begin{itemize} +\item Watch the video available at {\color{blue}\url{http://spoken-tutorial.org /What\_is\_a\_Spoken\_Tutorial}} +\item It summarises the Spoken Tutorial project +\item If you do not have good bandwidth, you can download and watch it +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Spoken Tutorial Workshops}The Spoken Tutorial Project Team +\begin{itemize} +\item Conducts workshops using spoken tutorials +\item Gives certificates to those who pass an online test +\item For more details, please write to \\ \hspace {0.5cm}{\color{blue}contact@spoken-tutorial.org} +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\frametitle{Acknowledgements} +\begin{itemize} +\item Spoken Tutorial Project is a part of the Talk to a Teacher project +\item It is supported by the National Mission on Education through ICT, MHRD, Government of India +\item More information on this Mission is available at: \\{\color{blue}\url{http://spoken-tutorial.org/NMEICT-Intro}} +\end{itemize} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} + \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{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\end{document} |