Added long answer type problems in all scripts

3 files changed, 0 insertions, 352 deletions

diff --git a/symbolics/quickref.tex b/symbolics/quickref.tex
deleted file mode 100644
index b26d168..0000000
--- a/symbolics/quickref.tex
+++ /dev/null
@@ -1,8 +0,0 @@
-Creating a linear array:\\
-{\ex \lstinline|    x = linspace(0, 2*pi, 50)|}
-
-Plotting two variables:\\
-{\ex \lstinline|    plot(x, sin(x))|}
-
-Plotting two lists of equal length x, y:\\
-{\ex \lstinline|    plot(x, y)|}
diff --git a/symbolics/script.rst b/symbolics/script.rst
deleted file mode 100644
index b9014bf..0000000
--- a/symbolics/script.rst
+++ /dev/null
@@ -1,277 +0,0 @@
-Symbolics with Sage
--------------------
-
-Hello friends and welcome to the tutorial on symbolics with sage.
-
-{{{ Show welcome slide }}}
-
-
-.. #[Madhu: What is this line doing here. I don't see much use of it]
-
-During the course of the tutorial we will learn
-
-{{{ Show outline slide  }}}
-
-* 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.
-
-We can use Sage for symbolic maths. 
-
-On the sage notebook type::
-   
-    sin(y)
-
-It raises a name error saying that y is not defined. But in sage we
-can declare y as a symbol using var function.
-
-
-::
-    var('y')
-   
-Now if you type::
-
-    sin(y)
-
-sage simply returns the expression.
-
-
-Thus sage treats sin(y) as a symbolic expression . We can use
-this to do  symbolic maths using sage's built-in constants and
-expressions..
-
-
-So let us try ::
-   
-   var('x,alpha,y,beta') 
-   x^2/alpha^2+y^2/beta^2
- 
-taking another example
-   
-   var('theta')
-   sin^2(theta)+cos^2(theta)
-
-
-Similarly, we can define many algebraic and trigonometric expressions
-using sage .
-
-
-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.
-
-{{{ Type n(pi)
-   	n(e)
-	n(oo) 
-    On the sage notebook }}}  
-
-
-
-If you look into the documentation of function "n" by doing
-
-.. #[Madhu: "documentation of the function "n"?]
-
-::
-   n(<Tab>
-
-You will see what all arguments it takes and what it returns. It will be very
-helpful if you look at the documentation of all functions introduced through
-this script.
-
-
-
-Also we can define the no. of digits we wish to use in the numerical
-value . For this we have to pass an argument digits.  Type
-
-.. #[Madhu: "no of digits"? Also "We wish to obtain" than "we wish to
-     use"?]
-::
-
-   n(pi, digits = 10)
-
-Apart from the constants sage also has a lot of builtin functions like
-sin,cos,log,factorial,gamma,exp,arcsin etc ...
-lets try some of them out on the sage notebook.
-
-
-::
-     
-   sin(pi/2)
-   
-   arctan(oo)
-     
-   log(e,e)
-
-
-Given that we have defined variables like x,y etc .. , We can define
-an arbitrary function with desired name in the following way.::
-
-       var('x') 
-       function('f',x)
-
-
-Here f is the name of the function and x is the independent variable .
-Now we can define f(x) to be ::
-
-     f(x) = x/2 + sin(x)
-
-Evaluating this function f for the value x=pi returns pi/2.::
-	   
-	   f(pi)
-
-We can also define functions that are not continuous but defined
-piecewise.  Let us define a function which is a parabola between 0
-to 1 and a constant from 1 to 2 .  Type the following as given on the
-screen
-
-::
-      
-
-      var('x') 
-      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
-
-
-
-
-We can also define functions which are series 
-
-
-We first define a function f(n) in the way discussed above.::
-
-   var('n') 
-   function('f', n)
-
-
-To sum the function for a range of discrete values of n, we use the
-sage function sum.
-
-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)
-
- 
-Lets us now try another series ::
-
-
-    f(n) = (-1)^(n-1)*1/(2*n - 1)
-    sum(f(n), n, 1, oo)
-
-
-This series converges to pi/4. 
-
-
-Moving on let us see how to perform simple calculus operations using Sage
-
-For example lets try an expression first ::
-
-    diff(x**2+sin(x),x) 
-    2x+cos(x)
-
-The diff function differentiates an expression or a function. Its
-first argument is expression or function and second argument is the
-independent variable.
-
-We have already tried an expression now lets try a function ::
-
-   f=exp(x^2)+arcsin(x) 
-   diff(f(x),x)
-
-To get a higher order differential we need to add an extra third argument
-for order ::
- 
-   diff(<tab> diff(f(x),x,3)
-
-in this case it is 3.
-
-
-Just like differentiation of expression you can also integrate them ::
-
-     x = var('x') 
-     s = integral(1/(1 + (tan(x))**2),x) 
-     s
-
-
-
-Many a times we need to find factors of an expression ,we can use the "factor" function
-
-::
-    factor(<tab> 
-    y = (x^100 - x^70)*(cos(x)^2 + cos(x)^2*tan(x)^2) 
-    f = factor(y)
-
-One can  simplify complicated expression ::
-    
-    f.simplify_full()
-
-This simplifies the expression fully . We can also do simplification
-of just the algebraic part and the trigonometric part ::
-
-    f.simplify_exp() 
-    f.simplify_trig()
-    
-
-
-One can also find roots of an equation by using find_root function::
-
-    phi = var('phi') 
-    find_root(cos(phi)==sin(phi),0,pi/2)
-
-Lets substitute this solution into the equation and see we were
-correct ::
-
-     var('phi') 
-     f(phi)=cos(phi)-sin(phi)
-     root=find_root(f(phi)==0,0,pi/2) 
-     f.substitute(phi=root)
-
-as we can see when we substitute the value the answer is almost = 0 showing 
-the solution we got was correct.
-
-
-
-
-Lets us now try some matrix algebra symbolically ::
-
-
-
-   var('a,b,c,d') 
-   A=matrix([[a,1,0],[0,b,0],[0,c,d]]) 
-   A
-
-Now lets do some of the matrix operations on this matrix
-
-
-::
-    A.det() 
-    A.inverse()
-
-
-
-{{{ Part of the notebook with summary }}}
-
-So in this tutorial we learnt how to
-
-
-* 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 .
-
diff --git a/symbolics/slides.tex b/symbolics/slides.tex
deleted file mode 100644
index 4fc3634..0000000
--- a/symbolics/slides.tex
+++ /dev/null
@@ -1,67 +0,0 @@
-% Created 2010-10-21 Thu 00:06
-\documentclass[presentation]{beamer}
-\usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\setbeamercovered{transparent}
-\usepackage[latin1]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{graphicx}
-\usepackage{longtable}
-\usepackage{float}
-\usepackage{wrapfig}
-\usepackage{soul}
-\usepackage{amssymb}
-\usepackage{hyperref}
-
-
-\title{Plotting Data }
-\author{FOSSEE}
-\date{2010-09-14 Tue}
-
-\begin{document}
-
-\maketitle
-
-
-
-
-
-
-\begin{frame}
-\frametitle{Tutorial Plan}
-\label{sec-1}
-\begin{itemize}
-
-\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
-\end{frame}
-\begin{frame}
-\frametitle{Summary}
-\label{sec-2}
-\begin{itemize}
-
-\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
-\end{frame}
-
-\end{document}