diff -r 76fd286276f7 -r fa5c77536e4e presentations/solving-equations.tex --- a/presentations/solving-equations.tex Mon Sep 13 18:35:56 2010 +0530 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,146 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%Tutorial slides on Python. -% -% Author: FOSSEE -% Copyright (c) 2009, FOSSEE, IIT Bombay -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\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 -{ - \usetheme{Warsaw} - \useoutertheme{infolines} - \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]{\lstinline{#1}} - -\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} } - -% Title page -\title{Python for Scientific Computing : Solving Equations} - -\author[FOSSEE] {FOSSEE} - -\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} -\date{} - -% DOCUMENT STARTS -\begin{document} - -\begin{frame} - \maketitle -\end{frame} - -\begin{frame} - \frametitle{About the Session} - \begin{block}{Goal} -Using arrays to find solutions and roots or equations. - \end{block} - \begin{block}{Prerequisite} - Understanding of Arrays. - \end{block} -\end{frame} - -\begin{frame}[fragile] -\frametitle{Solution of equations} -Consider, - \begin{align*} - 3x + 2y - z & = 1 \\ - 2x - 2y + 4z & = -2 \\ - -x + \frac{1}{2}y -z & = 0 - \end{align*} -\end{frame} - -\begin{frame}[fragile] -\frametitle{Scipy Methods - \typ{roots}} -\begin{itemize} -\item Calculates the roots of polynomials -\item To calculate the roots of $x^2-5x+6$ -\end{itemize} -\begin{lstlisting} - In []: coeffs = [1, -5, 6] - In []: roots(coeffs) - Out[]: array([3., 2.]) -\end{lstlisting} -\vspace*{-.2in} -\begin{center} -\includegraphics[height=1.6in, interpolate=true]{data/roots} -\end{center} -\end{frame} - -\begin{frame}[fragile] -\frametitle{Scipy Methods - \typ{fsolve}} -\begin{small} -\begin{lstlisting} - In []: from scipy.optimize import fsolve -\end{lstlisting} -\end{small} -\begin{itemize} -\item Finds the roots of a system of non-linear equations -\item Input arguments - Function and initial estimate -\item Returns the solution -\end{itemize} -\end{frame} - -\begin{frame}[fragile] - \frametitle{Summary} - \begin{block}{} - \begin{itemize} - \item Solving linear equations - \item Finding roots - \item Roots of non linear equations - \item Basics of Functions - \end{itemize} - \end{block} -\end{frame} - -\begin{frame} - \frametitle{Thank you!} - \begin{block}{} - This session is part of \textcolor{blue}{FOSSEE} project funded by: - \begin{center} - \textcolor{blue}{NME through ICT from MHRD, Govt. of India}. - \end{center} - \end{block} -\end{frame} - -\end{document}