diff -r 501383b753c1 -r ac1198488c0e getting-started-with-symbolics/slides.tex --- a/getting-started-with-symbolics/slides.tex Thu Nov 11 13:21:10 2010 +0530 +++ b/getting-started-with-symbolics/slides.tex Thu Nov 11 17:28:23 2010 +0530 @@ -1,4 +1,4 @@ -% Created 2010-11-10 Wed 17:18 +% Created 2010-11-11 Thu 02:03 \documentclass[presentation]{beamer} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} @@ -8,7 +8,6 @@ \usepackage{float} \usepackage{wrapfig} \usepackage{soul} -\usepackage{t1enc} \usepackage{textcomp} \usepackage{marvosym} \usepackage{wasysym} @@ -55,7 +54,7 @@ \end{itemize} \end{frame} \begin{frame} -\frametitle{Questions 1} +\frametitle{Question 1} \label{sec-2} \begin{itemize} @@ -72,28 +71,34 @@ \end{frame} \begin{frame}[fragile] -\frametitle{Solutions 1} +\frametitle{Solution 1} \label{sec-3} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} var('x,y') x^2+y^2 var('a,x,y') y^2-4*a*x -\end{verbatim} +\end{lstlisting} \end{frame} \begin{frame} -\frametitle{Questions 2} +\frametitle{Question 2} \label{sec-4} + \begin{itemize} \item Find the values of the following constants upto 6 digits precision \begin{itemize} \item pi$^2$ +\item euler$_{\mathrm{gamma}}$$^2$ \end{itemize} +\end{itemize} + +\begin{itemize} \item Find the value of the following. \begin{itemize} @@ -104,17 +109,18 @@ \end{itemize} \end{frame} \begin{frame}[fragile] -\frametitle{Solutions 2} +\frametitle{Solution 2} \label{sec-5} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} n(pi^2,digits=6) n(sin(pi/4)) n(log(23,e)) -\end{verbatim} +\end{lstlisting} \end{frame} \begin{frame} -\frametitle{Question 2} +\frametitle{Question 3} \label{sec-6} \begin{itemize} @@ -127,37 +133,35 @@ \end{itemize} \end{frame} \begin{frame}[fragile] -\frametitle{Solution Q1} +\frametitle{Solution 3} \label{sec-7} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} var('x') h(x)=3*x+2 g(x)= 4*x^2 f=Piecewise([[(0,4),h(x)],[(4,6),g(x)]],x) f -\end{verbatim} -\end{frame} -\begin{frame}[fragile] -\frametitle{Solution Q2} -\label{sec-8} +\end{lstlisting} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} var('n') f=1/(n^2-1) sum(f(n), n, 1, oo) -\end{verbatim} - +\end{lstlisting} \end{frame} \begin{frame} -\frametitle{Questions 3} -\label{sec-9} +\frametitle{Question 4} +\label{sec-8} \begin{itemize} \item Differentiate the following. \begin{itemize} -\item x$^5$*log(x$^7$) , degree=4 +\item sin(x$^3$)+log(3x), to the second order +\item x$^5$*log(x$^7$), to the fourth order \end{itemize} \item Integrate the given expression @@ -176,10 +180,11 @@ \end{itemize} \end{frame} \begin{frame}[fragile] -\frametitle{Solutions 3} -\label{sec-10} +\frametitle{Solution 4} +\label{sec-9} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} var('x') f(x)= x^5*log(x^7) diff(f(x),x,5) @@ -190,11 +195,11 @@ var('x') f=cos(x^2)-log(x) find_root(f(x)==0,1,2) -\end{verbatim} +\end{lstlisting} \end{frame} \begin{frame} -\frametitle{Question 4} -\label{sec-11} +\frametitle{Question 5} +\label{sec-10} \begin{itemize} \item Find the determinant and inverse of : @@ -203,45 +208,33 @@ \end{itemize} \end{frame} \begin{frame}[fragile] -\frametitle{Solution 4} -\label{sec-12} +\frametitle{Solution 5} +\label{sec-11} -\begin{verbatim} +\lstset{language=Python} +\begin{lstlisting} var('x,y,z') A=matrix([[x,0,1],[y,1,0],[z,0,y]]) A.det() A.inverse() -\end{verbatim} +\end{lstlisting} \end{frame} \begin{frame} \frametitle{Summary} -\label{sec-13} +\label{sec-12} \begin{itemize} -\item We learnt about defining symbolic - expression and functions. +\item We learnt about defining symbolic expression and functions. \item Using built-in constants and functions. -\item Using to see the documentation of a - function. -\end{itemize} - - -\end{frame} -\begin{frame} -\frametitle{Summary} -\label{sec-14} - -\begin{itemize} +\item Using to see the documentation of a function. \item Simple calculus operations . -\item Substituting values in expression - using substitute function. -\item Creating symbolic matrices and - performing operation on them . +\item Substituting values in expression using substitute function. +\item Creating symbolic matrices and performing operation on them . \end{itemize} \end{frame} \begin{frame} \frametitle{Thank you!} -\label{sec-15} +\label{sec-13} \begin{block}{} \begin{center}