diff options
| -rw-r--r-- | getting-started-with-lists/script.rst | 49 | ||||
| -rw-r--r-- | getting-started-with-lists/script.rst.orig | 521 | ||||
| -rw-r--r-- | getting-started-with-lists/slides.org | 89 | ||||
| -rw-r--r-- | getting-started-with-lists/slides.tex | 125 | ||||
| -rw-r--r-- | getting-started-with-symbolics/script.rst | 101 | ||||
| -rw-r--r-- | getting-started-with-symbolics/slides.org | 166 | ||||
| -rw-r--r-- | getting-started-with-symbolics/slides.tex | 258 | ||||
| -rw-r--r-- | symbolics/slides.org | 33 |
8 files changed, 889 insertions, 453 deletions
diff --git a/getting-started-with-lists/script.rst b/getting-started-with-lists/script.rst index 37d4ad7..61271e4 100644 --- a/getting-started-with-lists/script.rst +++ b/getting-started-with-lists/script.rst @@ -46,7 +46,7 @@ structure called lists. We will learn :: List is a compound data type, it can contain data of other data types. List is also a sequence data type, all the elements are in -order and there order has a meaning. +order and the order has a meaning. .. #[[Anoop: "all the elements are in order and **there** order has a meaning." - I guess something is wrong here, I am not able to @@ -75,15 +75,14 @@ All the list items need not be of the same data type. As we can see lists can contain different kinds of data. In the previous example 'spam' and 'eggs' are strings and 100 and 1.234 are integer and float. Thus we can put elements of heterogenous types in -lists. Thus list themselves can be one of the element types possible -in lists. Thus lists can also contain other lists. +lists including list itself. .. #[[Anoop: the sentence "Thus list themselves can be one of the element types possible in lists" is not clear, rephrase it.]] Example :: - list_in_list=[[4,2,3,4],'and', 1, 2, 3, 4] + listinlist=[[4,2,3,4],'and', 1, 2, 3, 4] We access list elements using the index. The index begins from 0. So for list nonempty, nonempty[0] gives the first element, nonempty[1] @@ -93,11 +92,20 @@ the second element and so on and nonempty[3] the last element. :: nonempty[1] nonempty[3] +Following is an exercise that you must do. + +%% %% What happens when you do nonempty[-1]. + +Please, pause the video here. Do the exercise and then continue. + .. #[[Anoop: was negative indices introduced earlier, if not may be we can ask them to try out nonempty[-1] and see what happens and then tell that it gives the last element in the list.]] -We can also access the elememts from the end using negative indices :: +As you can see you get the last element which is 1.234. + + +In python negative indices are used to access elements from the end:: nonempty[-1] nonempty[-2] @@ -113,6 +121,19 @@ We can append elements to the end of a list using append command. :: nonempty.append(6) nonempty +Following are exercises that you must do. + +%% %% What is the syntax to get the element 'and' +in the list,listinlist ? + + +%% %% How would you get 'and' using negative indices? + +Please, pause the video here. Do the exercise and then continue. + +The solution is on your screen + + As we can see non empty appends 'onemore' and 6 at the end. Using len function we can check the number of elements in the list @@ -148,20 +169,34 @@ should be but what if there were two 100's. To check that lets do a small experiment. :: - nonempty.append('python') + nonempty.append('spam') nonempty - nonempty.remove('python') + nonempty.remove('spam') nonempty If we check now we will see that the first occurence 'spam' is removed thus remove removes the first occurence of the element in the sequence and leaves others untouched. + + + + .. #[[Anoop: does it have two spams or two pythons?]] .. #[[Anoop: there are no exercises/solved problems in this script, add them]] +Following are exercises that you must do. + +%% %% Remove the third element from the list, listinlist. + +%% %% Remove 'and' from the list, listinlist. + +Please, pause the video here. Do the exercise and then continue. + + + {{{Slide for Summary }}} diff --git a/getting-started-with-lists/script.rst.orig b/getting-started-with-lists/script.rst.orig index 754693e..3f068eb 100644 --- a/getting-started-with-lists/script.rst.orig +++ b/getting-started-with-lists/script.rst.orig @@ -1,361 +1,224 @@ -<?xml version="1.0" encoding="utf-8" ?> -<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> -<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> -<head> -<meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> -<meta name="generator" content="Docutils 0.6: http://docutils.sourceforge.net/" /> -<title></title> -<style type="text/css"> - -/* -:Author: David Goodger (goodger@python.org) -:Id: $Id: html4css1.css 5951 2009-05-18 18:03:10Z milde $ -:Copyright: This stylesheet has been placed in the public domain. - -Default cascading style sheet for the HTML output of Docutils. - -See http://docutils.sf.net/docs/howto/html-stylesheets.html for how to -customize this style sheet. -*/ - -/* used to remove borders from tables and images */ -.borderless, table.borderless td, table.borderless th { - border: 0 } - -table.borderless td, table.borderless th { - /* Override padding for "table.docutils td" with "! important". - The right padding separates the table cells. */ - padding: 0 0.5em 0 0 ! important } - -.first { - /* Override more specific margin styles with "! important". */ - margin-top: 0 ! important } - -.last, .with-subtitle { - margin-bottom: 0 ! important } - -.hidden { - display: none } - -a.toc-backref { - text-decoration: none ; - color: black } - -blockquote.epigraph { - margin: 2em 5em ; } - -dl.docutils dd { - margin-bottom: 0.5em } - -/* Uncomment (and remove this text!) to get bold-faced definition list terms -dl.docutils dt { - font-weight: bold } -*/ - -div.abstract { - margin: 2em 5em } - -div.abstract p.topic-title { - font-weight: bold ; - text-align: center } - -div.admonition, div.attention, div.caution, div.danger, div.error, -div.hint, div.important, div.note, div.tip, div.warning { - margin: 2em ; - border: medium outset ; - padding: 1em } - -div.admonition p.admonition-title, div.hint p.admonition-title, -div.important p.admonition-title, div.note p.admonition-title, -div.tip p.admonition-title { - font-weight: bold ; - font-family: sans-serif } - -div.attention p.admonition-title, div.caution p.admonition-title, -div.danger p.admonition-title, div.error p.admonition-title, -div.warning p.admonition-title { - color: red ; - font-weight: bold ; - font-family: sans-serif } - -/* Uncomment (and remove this text!) to get reduced vertical space in - compound paragraphs. -div.compound .compound-first, div.compound .compound-middle { - margin-bottom: 0.5em } - -div.compound .compound-last, div.compound .compound-middle { - margin-top: 0.5em } -*/ - -div.dedication { - margin: 2em 5em ; - text-align: center ; - font-style: italic } - -div.dedication p.topic-title { - font-weight: bold ; - font-style: normal } - -div.figure { - margin-left: 2em ; - margin-right: 2em } - -div.footer, div.header { - clear: both; - font-size: smaller } +.. Objectives +.. ---------- -div.line-block { - display: block ; - margin-top: 1em ; - margin-bottom: 1em } +.. By the end of this tutorial, you will be able to -div.line-block div.line-block { - margin-top: 0 ; - margin-bottom: 0 ; - margin-left: 1.5em } +.. Create Lists. +.. Access List elements. +.. Append elemets to list +.. Delete list elemets -div.sidebar { - margin: 0 0 0.5em 1em ; - border: medium outset ; - padding: 1em ; - background-color: #ffffee ; - width: 40% ; - float: right ; - clear: right } +.. 1. getting started with ipython -div.sidebar p.rubric { - font-family: sans-serif ; - font-size: medium } -div.system-messages { - margin: 5em } -div.system-messages h1 { - color: red } +.. Prerequisites +.. ------------- -div.system-message { - border: medium outset ; - padding: 1em } +.. 1. getting started with strings +.. #. getting started with lists +.. #. basic datatypes + +.. Author : Amit + Internal Reviewer : Anoop Jacob Thomas <anoop@fossee.in> + External Reviewer : + Checklist OK? : <put date stamp here, if OK> [2010-10-05] -div.system-message p.system-message-title { - color: red ; - font-weight: bold } +.. #[[Anoop: Slides contain only outline and summary -div.topic { - margin: 2em } +Script +------ + {{{ Show the slide containing title }}} -h1.section-subtitle, h2.section-subtitle, h3.section-subtitle, -h4.section-subtitle, h5.section-subtitle, h6.section-subtitle { - margin-top: 0.4em } - -h1.title { - text-align: center } +Hello friends and welcome to the tutorial on getting started with +lists. -h2.subtitle { - text-align: center } + {{{ Show the slide containing the outline slide }}} -hr.docutils { - width: 75% } +In this tutorial we will be getting acquainted with a python data +structure called lists. We will learn :: + + * How to create lists + * Structure of lists + * Access list elements + * Append elements to lists + * Delete elements from lists -img.align-left, .figure.align-left{ - clear: left ; - float: left ; - margin-right: 1em } +List is a compound data type, it can contain data of other data +types. List is also a sequence data type, all the elements are in +order and the order has a meaning. -img.align-right, .figure.align-right { - clear: right ; - float: right ; - margin-left: 1em } +.. #[[Anoop: "all the elements are in order and **there** order has a + meaning." - I guess something is wrong here, I am not able to + follow this.]] -.align-left { - text-align: left } +We will first create an empty list with no elements. On your IPython +shell type :: -.align-center { - clear: both ; - text-align: center } + empty = [] + type(empty) + -.align-right { - text-align: right } +This is an empty list without any elements. -/* reset inner alignment in figures */ -div.align-right { - text-align: left } +.. #[[Anoop: the document has to be continous, without any + subheadings, removing * Filled lists]] -/* div.align-center * { */ -/* text-align: left } */ +Lets now see how to define a non-empty list. We do it as,:: -ol.simple, ul.simple { - margin-bottom: 1em } + nonempty = ['spam', 'eggs', 100, 1.234] -ol.arabic { - list-style: decimal } +Thus the simplest way of creating a list is typing out a sequence +of comma-separated values (items) between square brackets. +All the list items need not be of the same data type. -ol.loweralpha { - list-style: lower-alpha } +As we can see lists can contain different kinds of data. In the +previous example 'spam' and 'eggs' are strings and 100 and 1.234 are +integer and float. Thus we can put elements of heterogenous types in +lists including list itself. -ol.upperalpha { - list-style: upper-alpha } +.. #[[Anoop: the sentence "Thus list themselves can be one of the + element types possible in lists" is not clear, rephrase it.]] -ol.lowerroman { - list-style: lower-roman } +Example :: -ol.upperroman { - list-style: upper-roman } + listinlist=[[4,2,3,4],'and', 1, 2, 3, 4] -p.attribution { - text-align: right ; - margin-left: 50% } +We access list elements using the index. The index begins from 0. So +for list nonempty, nonempty[0] gives the first element, nonempty[1] +the second element and so on and nonempty[3] the last element. :: -p.caption { - font-style: italic } + nonempty[0] + nonempty[1] + nonempty[3] -p.credits { - font-style: italic ; - font-size: smaller } +Following is an exercise that you must do. -p.label { - white-space: nowrap } +%% %% What happens when you do nonempty[-1]. -p.rubric { - font-weight: bold ; - font-size: larger ; - color: maroon ; - text-align: center } +Please, pause the video here. Do the exercise and then continue. -p.sidebar-title { - font-family: sans-serif ; - font-weight: bold ; - font-size: larger } +.. #[[Anoop: was negative indices introduced earlier, if not may be we + can ask them to try out nonempty[-1] and see what happens and then + tell that it gives the last element in the list.]] -p.sidebar-subtitle { - font-family: sans-serif ; - font-weight: bold } - -p.topic-title { - font-weight: bold } - -pre.address { - margin-bottom: 0 ; - margin-top: 0 ; - font: inherit } - -pre.literal-block, pre.doctest-block { - margin-left: 2em ; - margin-right: 2em } - -span.classifier { - font-family: sans-serif ; - font-style: oblique } - -span.classifier-delimiter { - font-family: sans-serif ; - font-weight: bold } - -span.interpreted { - font-family: sans-serif } - -span.option { - white-space: nowrap } - -span.pre { - white-space: pre } - -span.problematic { - color: red } - -span.section-subtitle { - /* font-size relative to parent (h1..h6 element) */ - font-size: 80% } - -table.citation { - border-left: solid 1px gray; - margin-left: 1px } - -table.docinfo { - margin: 2em 4em } - -table.docutils { - margin-top: 0.5em ; - margin-bottom: 0.5em } - -table.footnote { - border-left: solid 1px black; - margin-left: 1px } - -table.docutils td, table.docutils th, -table.docinfo td, table.docinfo th { - padding-left: 0.5em ; - padding-right: 0.5em ; - vertical-align: top } - -table.docutils th.field-name, table.docinfo th.docinfo-name { - font-weight: bold ; - text-align: left ; - white-space: nowrap ; - padding-left: 0 } - -h1 tt.docutils, h2 tt.docutils, h3 tt.docutils, -h4 tt.docutils, h5 tt.docutils, h6 tt.docutils { - font-size: 100% } - -ul.auto-toc { - list-style-type: none } - -</style> -</head> -<body> -<div class="document"> - - -<div class="section" id="objective-questions"> -<h1>Objective Questions</h1> -<!-- A mininum of 8 questions here (along with answers) --> -<ol class="arabic"> -<li><p class="first">How do you create an empty list?</p> -<pre class="literal-block"> -empty=[] -</pre> -</li> -<li><p class="first">What is the most important property of sequence data types like lists?</p> -<p>The elements are in order and can be accessed by index numbers.</p> -</li> -<li><p class="first">Can you have a list inside a list ?</p> -<p>Yes,List can contain all the other data types, including list.</p> -<p>Example: -list_in_list=[2.3,[2,4,6],'string,'all datatypes can be there']</p> -</li> -<li><p class="first">What is the index number of the first element in a list?</p> -<p>0 -nonempty = ['spam', 'eggs', 100, 1.234] -nonempty[0]</p> -</li> -<li><p class="first">How would you access the end of a list without finding its length?</p> -<p>Using negative indices. We can the list from the end using negative indices.</p> -<p>:: -nonempty = ['spam', 'eggs', 100, 1.234] -nonempty[-1]</p> -</li> -<li><p class="first">What is the function to find the length of a list?</p> -<p>len</p> -</li> -<li><p class="first">Delete the last element from list sq=[5,4,3,2,1,0]</p> -<p>del(sq[-1])</p> -</li> -<li><p class="first">How many will you have to use remove function to remove all 6's from the given list sq=[2,5,6,7,6,4,6]?</p> -<p>3</p> -</li> -</ol> -</div> -<div class="section" id="larger-questions"> -<h1>Larger Questions</h1> -<!-- A minimum of 2 questions here (along with answers) --> -<p>1. Add all elemets of seq1=['e','f','g','h'] -to the sequence seq=['a','b','c','d']</p> -<ol class="arabic simple" start="2"> -<li>Delete all elements of seq1=[3,5,6] from sequence -seq=[1,2,3,4,5,6,7,8,9]</li> -</ol> -</div> -</div> -</body> -</html> +As you can see you get the last element which is 1.234. + + +In python negative indices are used to access elements from the end:: + + nonempty[-1] + nonempty[-2] + nonempty[-4] + +-1 gives the last element which is the 4th element , -2 second to last +and -4 gives the fourth from last element which is first element. + +We can append elements to the end of a list using append command. :: + + nonempty.append('onemore') + nonempty + nonempty.append(6) + nonempty + +Following are exercises that you must do. + +%% %% What is the syntax to get the element 'and' +in the list,listinlist ? + + +%% %% How would you get 'and' using negative indices? + +Please, pause the video here. Do the exercise and then continue. + +The solution is on your screen + + +As we can see non empty appends 'onemore' and 6 at the end. + +Using len function we can check the number of elements in the list +nonempty. In this case it 6 :: + + len(nonempty) + + + +Just like we can append elements to a list we can also remove them. +There are two ways of doing it. One is by using index. :: + + del(nonempty[1]) + + + +deletes the element at index 1, 'eggs' which is the second element of +the list. The other way is removing element by content. Lets say one +wishes to delete 100 from nonempty list the syntax of the command +should be + +.. #[[Anoop: let x = [1,2,1,3] + now x.remove(x[2]) + still x is [2,1,3] so that is not the way to remove + element by index, it removed first occurrence of 1(by + content) and not based on index, so make necessary + changes]] + +:: + + nonempty.remove(100) + +but what if there were two 100's. To check that lets do a small +experiment. :: + + nonempty.append('spam') + nonempty + nonempty.remove('spam') + nonempty + +If we check now we will see that the first occurence 'spam' is removed +thus remove removes the first occurence of the element in the sequence +and leaves others untouched. + + + + + +.. #[[Anoop: does it have two spams or two pythons?]] + +.. #[[Anoop: there are no exercises/solved problems in this script, + add them]] + +Following are exercises that you must do. + +%% %% Remove the third element from the list, listinlist. + +%% %% Remove 'and' from the list, listinlist. + +Please, pause the video here. Do the exercise and then continue. + + + +{{{Slide for Summary }}} + + +In this tutorial we came across a sequence data type called lists. :: + + * We learned how to create lists. + * How to access lists. + * Append elements to list. + * Delete Element from list. + * And Checking list length. + + + +{{{ show Sponsored by Fossee Slide }}} + +This tutorial was created as a part of FOSSEE project. + +I hope you found this tutorial useful. + +Thank You + +.. + * Author : Amit Sethi + * First Reviewer : + * Second Reviewer : Nishanth diff --git a/getting-started-with-lists/slides.org b/getting-started-with-lists/slides.org index 34bb65a..f7cb690 100644 --- a/getting-started-with-lists/slides.org +++ b/getting-started-with-lists/slides.org @@ -2,34 +2,99 @@ #+LaTeX_CLASS_OPTIONS: [presentation] #+BEAMER_FRAME_LEVEL: 1 -#+BEAMER_HEADER_EXTRA: \usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\setbeamercovered{transparent} +#+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 -#+OPTIONS: H:5 num:t toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t + +#+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: Getting started with Lists #+AUTHOR: FOSSEE #+DATE: 2010-09-14 Tue #+EMAIL: info@fossee.in -# \author[FOSSEE] {FOSSEE} +#+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 -# \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} -# \date{} -* Tutorial Plan -** How to create lists -** Structure of lists -** Access list elements -** Append elements to lists -** Deleting elements from lists +* Outline + - How to create lists + - Structure of lists + - Access list elements + - Append elements to lists + - Deleting elements from lists -* Summary +* Question 1 + - What happens when you do nonempty[-1]. + +* Solution 1 + - It gives the last element , 1.234 + +* Questions + - What is the syntax to get the element 'and' +in the list,listinlist ? + + - How would you get 'and' using negative indices? + +* Solutions +#+begin_src python + + listinlist[1] + listinlist[-5] + +#+end_src python +* Questions + + - Remove the third element from the list, listinlist. + + - Remove 'and' from the list, listinlist. + +* Solutions +#+begin_src python + + del(listinlist[2]) + listinlist.remove('and') + +#+end_src python +* Summary +#+begin_src python + l=[1,2,3,4] l[-1] l.append(5) del(l[2]) + l.remove(2) len(l) +#+end_src python +* Thank you! +#+begin_latex + \begin{block}{} + \begin{center} + This spoken tutorial has been produced by the + \textcolor{blue}{FOSSEE} team, which is funded by the + \end{center} + \begin{center} + \textcolor{blue}{National Mission on Education through \\ + Information \& Communication Technology \\ + MHRD, Govt. of India}. + \end{center} + \end{block} +#+end_latex + + diff --git a/getting-started-with-lists/slides.tex b/getting-started-with-lists/slides.tex index 0465d54..42c6f0a 100644 --- a/getting-started-with-lists/slides.tex +++ b/getting-started-with-lists/slides.tex @@ -1,4 +1,4 @@ -% Created 2010-11-09 Tue 17:41 +% Created 2010-11-10 Wed 12:22 \documentclass[presentation]{beamer} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} @@ -16,13 +16,19 @@ \usepackage{amssymb} \usepackage{hyperref} \tolerance=1000 +\usepackage[english]{babel} \usepackage{ae,aecompl} +\usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet} +\usepackage{listings} +\lstset{language=Python, basicstyle=\ttfamily\bfseries, +commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen}, +showstringspaces=false, keywordstyle=\color{blue}\bfseries} \providecommand{\alert}[1]{\textbf{#1}} \title{Getting started with Lists} \author{FOSSEE} \date{2010-09-14 Tue} -\usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\setbeamercovered{transparent} +\usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent} \begin{document} \maketitle @@ -32,33 +38,112 @@ + + + + \begin{frame} -\frametitle{Tutorial Plan} +\frametitle{Outline} \label{sec-1} + +\begin{itemize} +\item How to create lists +\item Structure of lists +\item Access list elements +\item Append elements to lists +\item Deleting elements from lists +\end{itemize} +\end{frame} +\begin{frame} +\frametitle{Question 1} +\label{sec-2} + \begin{itemize} +\item What happens when you do nonempty[-1]. +\end{itemize} +\end{frame} +\begin{frame} +\frametitle{Solution 1} +\label{sec-3} -\item How to create lists\\ -\label{sec-1_1}% -\item Structure of lists\\ -\label{sec-1_2}% -\item Access list elements\\ -\label{sec-1_3}% -\item Append elements to lists\\ -\label{sec-1_4}% -\item Deleting elements from lists\\ -\label{sec-1_5}% -\end{itemize} % ends low level +\begin{itemize} +\item It gives the last element , 1.234 +\end{itemize} \end{frame} \begin{frame} +\frametitle{Questions} +\label{sec-4} + +\begin{itemize} +\item What is the syntax to get the element `and' +\end{itemize} + +in the list,listinlist ? + + +\begin{itemize} +\item How would you get `and' using negative indices? +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solutions} +\label{sec-5} + +\begin{verbatim} + +listinlist[1] +listinlist[-5] +\end{verbatim} +\end{frame} +\begin{frame} +\frametitle{Questions} +\label{sec-6} + + +\begin{itemize} +\item Remove the third element from the list, listinlist. +\item Remove `and' from the list, listinlist. +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solutions} +\label{sec-7} + +\begin{verbatim} + +del(listinlist[2]) +listinlist.remove('and') +\end{verbatim} +\end{frame} +\begin{frame}[fragile] \frametitle{Summary} -\label{sec-2} +\label{sec-8} + +\begin{verbatim} +l=[1,2,3,4] +l[-1] +l.append(5) +del(l[2]) +l.remove(2) +len(l) +\end{verbatim} +\end{frame} +\begin{frame} +\frametitle{Thank you!} +\label{sec-9} - l=[1,2,3,4] - l[-1] - l.append(5) - del(l\footnote{FOOTNOTE DEFINITION NOT FOUND: 2 }) - len(l) + \begin{block}{} + \begin{center} + This spoken tutorial has been produced by the + \textcolor{blue}{FOSSEE} team, which is funded by the + \end{center} + \begin{center} + \textcolor{blue}{National Mission on Education through \\ + Information \& Communication Technology \\ + MHRD, Govt. of India}. + \end{center} + \end{block} \end{frame} \end{document} diff --git a/getting-started-with-symbolics/script.rst b/getting-started-with-symbolics/script.rst index b41ab87..e03d85c 100644 --- a/getting-started-with-symbolics/script.rst +++ b/getting-started-with-symbolics/script.rst @@ -4,7 +4,7 @@ .. By the end of this tutorial, you will be able to .. 1. Defining symbolic expressions in sage. -.. # Using built-in costants and functions. +.. # Using built-in constants and functions. .. # Performing Integration, differentiation using sage. .. # Defining matrices. .. # Defining Symbolic functions. @@ -37,7 +37,7 @@ During the course of the tutorial we will learn {{{ Show outline slide }}} * Defining symbolic expressions in sage. -* Using built-in costants and functions. +* Using built-in constants and functions. * Performing Integration, differentiation using sage. * Defining matrices. * Defining Symbolic functions. @@ -73,26 +73,32 @@ So let us try :: var('x,alpha,y,beta') x^2/alpha^2+y^2/beta^2 -taking another example +taking another example :: var('theta') - sin^2(theta)+cos^2(theta) + sin(theta)*sin(theta)+cos(theta)*cos(theta) +Similarly, we can define many algebraic and trigonometric expressions using sage . -Similarly, we can define many algebraic and trigonometric expressions -using sage . +Following is an exercise that you must do. -Sage also provides a few built-in constants which are commonly used in -mathematics . +%% %% Define following expressions as symbolic expressions +in sage? + + 1. x^2+y^2 + #. y^2-4ax + +Please, pause the video here. Do the exercise and then continue. + +The solution is on your screen. + + +Sage also provides a few built-in constants which are commonly used in mathematics . -example : pi,e,infinity , Function n gives the numerical values of all these - constants. +example : pi,e,infinity , Function n gives the numerical values of all these constants. -{{{ Type n(pi) - n(e) - n(oo) - On the sage notebook }}} +{{{ Type n(pi) n(e) n(oo) On the sage notebook }}} @@ -131,6 +137,24 @@ lets try some of them out on the sage notebook. log(e,e) +Following is are exercises that you must do. + +%% %% Find the values of the following constants upto 6 digits precision + + 1. pi^2 + #. euler_gamma^2 + + +%% %% Find the value of the following. + + 1. sin(pi/4) + #. ln(23) + +Please, pause the video here. Do the exercises and then continue. + +The solutions are on your screen. + + Given that we have defined variables like x,y etc .. , We can define an arbitrary function with desired name in the following way.:: @@ -157,13 +181,16 @@ screen var('x') - h(x)=x^2 g(x)=1 + h(x)=x^2 + g(x)=1 f=Piecewise(<Tab> {{{ Show the documentation of Piecewise }}} :: - f=Piecewise([[(0,1),h(x)],[(1,2),g(x)]],x) f + f=Piecewise([[(0,1),h(x)],[(1,2),g(x)]],x) + f + @@ -184,9 +211,7 @@ For a convergent series , f(n)=1/n^2 we can say :: var('n') function('f', n) - f(n) = 1/n^2 - sum(f(n), n, 1, oo) @@ -200,6 +225,18 @@ Lets us now try another series :: This series converges to pi/4. +Following are exercises that you must do. + +%% %% Define the piecewise function. + f(x)=3x+2 + when x is in the closed interval 0 to 4. + f(x)=4x^2 + between 4 to 6. + +%% %% Sum of 1/(n^2-1) where n ranges from 1 to infinity. + +Please, pause the video here. Do the exercise(s) and then continue. + Moving on let us see how to perform simple calculus operations using Sage For example lets try an expression first :: @@ -267,6 +304,22 @@ correct :: as we can see when we substitute the value the answer is almost = 0 showing the solution we got was correct. +Following is an (are) exercise(s) that you must do. + +%% %% Differentiate the following. + + 1. sin(x^3)+log(3x) , degree=2 + #. x^5*log(x^7) , degree=4 + +%% %% Integrate the given expression + + sin(x^2)+exp(x^3) + +%% %% Find x + cos(x^2)-log(x)=0 + Does the equation have a root between 1,2. + +Please, pause the video here. Do the exercises and then continue. @@ -286,8 +339,18 @@ Now lets do some of the matrix operations on this matrix A.inverse() +Following is an (are) exercise(s) that you must do. + +%% %% Find the determinant and inverse of : + + A=[[x,0,1][y,1,0][z,0,y]] + +Please, pause the video here. Do the exercise(s) and then continue. + + + -{{{ Part of the notebook with summary }}} +{{{ Show the summary slide }}} So in this tutorial we learnt how to diff --git a/getting-started-with-symbolics/slides.org b/getting-started-with-symbolics/slides.org new file mode 100644 index 0000000..5ac2471 --- /dev/null +++ b/getting-started-with-symbolics/slides.org @@ -0,0 +1,166 @@ +#+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: Getting started with symbolics +#+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 + +* Outline + - Defining symbolic expressions in sage. + - Using built-in constants and functions. + - Performing Integration, differentiation using sage. + - Defining matrices. + - Defining Symbolic functions. + - Simplifying and solving symbolic expressions and functions. + +* Questions 1 + - Define the following expression as symbolic + expression in sage. + + - x^2+y^2 + - y^2-4ax + +* Solutions 1 +#+begin_src python + var('x,y') + x^2+y^2 + + var('a,x,y') + y^2-4*a*x +#+end_src python +* Questions 2 + - Find the values of the following constants upto 6 digits precision + + - pi^2 + + + - Find the value of the following. + + - sin(pi/4) + - ln(23) + +* Solutions 2 +#+begin_src python + n(pi^2,digits=6) + n(sin(pi/4)) + n(log(23,e)) +#+end_src python +* Question 2 + - Define the piecewise function. + f(x)=3x+2 + when x is in the closed interval 0 to 4. + f(x)=4x^2 + between 4 to 6. + + - Sum of 1/(n^2-1) where n ranges from 1 to infinity. + +* Solution Q1 +#+begin_src python + 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_src python +* Solution Q2 +#+begin_src python + var('n') + f=1/(n^2-1) + sum(f(n), n, 1, oo) +#+end_src python + + +* Questions 3 + - Differentiate the following. + + - x^5*log(x^7) , degree=4 + + - Integrate the given expression + + - x*sin(x^2) + + - Find x + - cos(x^2)-log(x)=0 + - Does the equation have a root between 1,2. + +* Solutions 3 +#+begin_src python + var('x') + f(x)= x^5*log(x^7) + diff(f(x),x,5) + + var('x') + integral(x*sin(x^2),x) + + var('x') + f=cos(x^2)-log(x) + find_root(f(x)==0,1,2) +#+end_src + +* Question 4 + - Find the determinant and inverse of : + + A=[[x,0,1][y,1,0][z,0,y]] + +* Solution 4 +#+begin_src python + var('x,y,z') + A=matrix([[x,0,1],[y,1,0],[z,0,y]]) + A.det() + A.inverse() +#+end_src +* Summary + - We learnt about defining symbolic + expression and functions. + - Using built-in constants and functions. + - Using <Tab> to see the documentation of a + function. + +* Summary + - Simple calculus operations . + - Substituting values in expression + using substitute function. + - Creating symbolic matrices and + performing operation on them . + +* Thank you! +#+begin_latex + \begin{block}{} + \begin{center} + This spoken tutorial has been produced by the + \textcolor{blue}{FOSSEE} team, which is funded by the + \end{center} + \begin{center} + \textcolor{blue}{National Mission on Education through \\ + Information \& Communication Technology \\ + MHRD, Govt. of India}. + \end{center} + \end{block} +#+end_latex + + + diff --git a/getting-started-with-symbolics/slides.tex b/getting-started-with-symbolics/slides.tex index 4fc3634..6ae2851 100644 --- a/getting-started-with-symbolics/slides.tex +++ b/getting-started-with-symbolics/slides.tex @@ -1,21 +1,34 @@ -% Created 2010-10-21 Thu 00:06 +% Created 2010-11-10 Wed 17:18 \documentclass[presentation]{beamer} -\usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\setbeamercovered{transparent} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} +\usepackage{fixltx2e} \usepackage{graphicx} \usepackage{longtable} \usepackage{float} \usepackage{wrapfig} \usepackage{soul} +\usepackage{t1enc} +\usepackage{textcomp} +\usepackage{marvosym} +\usepackage{wasysym} +\usepackage{latexsym} \usepackage{amssymb} \usepackage{hyperref} +\tolerance=1000 +\usepackage[english]{babel} \usepackage{ae,aecompl} +\usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet} +\usepackage{listings} +\lstset{language=Python, basicstyle=\ttfamily\bfseries, +commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen}, +showstringspaces=false, keywordstyle=\color{blue}\bfseries} +\providecommand{\alert}[1]{\textbf{#1}} - -\title{Plotting Data } +\title{Getting started with symbolics} \author{FOSSEE} -\date{2010-09-14 Tue} +\date{} +\usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent} \begin{document} \maketitle @@ -25,43 +38,222 @@ + + + \begin{frame} -\frametitle{Tutorial Plan} +\frametitle{Outline} \label{sec-1} + +\begin{itemize} +\item Defining symbolic expressions in sage. +\item Using built-in constants and functions. +\item Performing Integration, differentiation using sage. +\item Defining matrices. +\item Defining Symbolic functions. +\item Simplifying and solving symbolic expressions and functions. +\end{itemize} +\end{frame} +\begin{frame} +\frametitle{Questions 1} +\label{sec-2} + +\begin{itemize} +\item Define the following expression as symbolic + expression in sage. + +\begin{itemize} +\item x$^2$+y$^2$ +\item y$^2$-4ax +\end{itemize} + +\end{itemize} + + +\end{frame} +\begin{frame}[fragile] +\frametitle{Solutions 1} +\label{sec-3} + +\begin{verbatim} +var('x,y') +x^2+y^2 + +var('a,x,y') +y^2-4*a*x +\end{verbatim} +\end{frame} +\begin{frame} +\frametitle{Questions 2} +\label{sec-4} + +\begin{itemize} +\item Find the values of the following constants upto 6 digits precision + +\begin{itemize} +\item pi$^2$ +\end{itemize} + +\item Find the value of the following. + +\begin{itemize} +\item sin(pi/4) +\item ln(23) +\end{itemize} + +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solutions 2} +\label{sec-5} + +\begin{verbatim} +n(pi^2,digits=6) +n(sin(pi/4)) +n(log(23,e)) +\end{verbatim} +\end{frame} +\begin{frame} +\frametitle{Question 2} +\label{sec-6} + +\begin{itemize} +\item Define the piecewise function. + f(x)=3x+2 + when x is in the closed interval 0 to 4. + f(x)=4x$^2$ + between 4 to 6. +\item Sum of 1/(n$^2$-1) where n ranges from 1 to infinity. +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solution Q1} +\label{sec-7} + +\begin{verbatim} +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} + +\begin{verbatim} +var('n') +f=1/(n^2-1) +sum(f(n), n, 1, oo) +\end{verbatim} + +\end{frame} +\begin{frame} +\frametitle{Questions 3} +\label{sec-9} + +\begin{itemize} +\item Differentiate the following. + +\begin{itemize} +\item x$^5$*log(x$^7$) , degree=4 +\end{itemize} + +\item Integrate the given expression + +\begin{itemize} +\item x*sin(x$^2$) +\end{itemize} + +\item Find x + \begin{itemize} +\item cos(x$^2$)-log(x)=0 +\item Does the equation have a root between 1,2. +\end{itemize} + +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solutions 3} +\label{sec-10} + +\begin{verbatim} +var('x') +f(x)= x^5*log(x^7) +diff(f(x),x,5) + +var('x') +integral(x*sin(x^2),x) -\item Defining symbolic expressions in sage.\\ -\label{sec-1.1}% -\item Using built-in costants and functions.\\ -\label{sec-1.2}% -\item Performing Integration, differentiation using sage.\\ -\label{sec-1.3}% -\item Defining matrices.\\ -\label{sec-1.4}% -\item Defining Symbolic functions.\\ -\label{sec-1.5}% -\item Simplifying and solving symbolic expressions and functions.\\ -\label{sec-1.6}% -\end{itemize} % ends low level +var('x') +f=cos(x^2)-log(x) +find_root(f(x)==0,1,2) +\end{verbatim} +\end{frame} +\begin{frame} +\frametitle{Question 4} +\label{sec-11} + +\begin{itemize} +\item Find the determinant and inverse of : + + A=[[x,0,1][y,1,0][z,0,y]] +\end{itemize} +\end{frame} +\begin{frame}[fragile] +\frametitle{Solution 4} +\label{sec-12} + +\begin{verbatim} +var('x,y,z') +A=matrix([[x,0,1],[y,1,0],[z,0,y]]) +A.det() +A.inverse() +\end{verbatim} \end{frame} \begin{frame} \frametitle{Summary} -\label{sec-2} +\label{sec-13} + \begin{itemize} +\item We learnt about defining symbolic + expression and functions. +\item Using built-in constants and functions. +\item Using <Tab> to see the documentation of a + function. +\end{itemize} + + +\end{frame} +\begin{frame} +\frametitle{Summary} +\label{sec-14} + +\begin{itemize} +\item Simple calculus operations . +\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} -\item We learnt about defining symbolic expression and functions.\\ -\label{sec-2.1}% -\item Using built-in constants and functions.\\ -\label{sec-2.2}% -\item Using <Tab> to see the documentation of a function.\\ -\label{sec-2.3}% -\item Simple calculus operations .\\ -\label{sec-2.4}% -\item Substituting values in expression using substitute function.\\ -\label{sec-2.5}% -\item Creating symbolic matrices and performing operation on them .\\ -\label{sec-2.6}% -\end{itemize} % ends low level + \begin{block}{} + \begin{center} + This spoken tutorial has been produced by the + \textcolor{blue}{FOSSEE} team, which is funded by the + \end{center} + \begin{center} + \textcolor{blue}{National Mission on Education through \\ + Information \& Communication Technology \\ + MHRD, Govt. of India}. + \end{center} + \end{block} \end{frame} \end{document} diff --git a/symbolics/slides.org b/symbolics/slides.org deleted file mode 100644 index 9e49d37..0000000 --- a/symbolics/slides.org +++ /dev/null @@ -1,33 +0,0 @@ -#+LaTeX_CLASS: beamer -#+LaTeX_CLASS_OPTIONS: [presentation] -#+BEAMER_FRAME_LEVEL: 1 - -#+BEAMER_HEADER_EXTRA: \usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\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 -#+OPTIONS: H:5 num:t toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t - -#+TITLE: Plotting Data -#+AUTHOR: FOSSEE -#+DATE: 2010-09-14 Tue -#+EMAIL: info@fossee.in - -# \author[FOSSEE] {FOSSEE} - -# \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} -# \date{} - -* Tutorial Plan -** Defining symbolic expressions in sage. -** Using built-in costants and functions. -** Performing Integration, differentiation using sage. -** Defining matrices. -** Defining Symbolic functions. -** Simplifying and solving symbolic expressions and functions. -* Summary -** We learnt about defining symbolic expression and functions. -** Using built-in constants and functions. -** Using <Tab> to see the documentation of a function. -** Simple calculus operations . -** Substituting values in expression using substitute function. -** Creating symbolic matrices and performing operation on them . |