Renamed all LOs to match with their names in progress.org.

1 files changed, 0 insertions, 340 deletions

diff --git a/getting-started-with-symbolics/script.rst b/getting-started-with-symbolics/script.rst
deleted file mode 100644
index 4f714d4..0000000
--- a/getting-started-with-symbolics/script.rst
+++ /dev/null
@@ -1,340 +0,0 @@
-.. Objectives
-.. ----------
-
-.. By the end of this tutorial, you will be able to
-
-.. 1. 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.
-
-
-.. Prerequisites
-.. -------------
-
-..   1. getting started with sage notebook
-
-     
-.. Author              : Amit 
-   Internal Reviewer   :  
-   External Reviewer   :
-   Language Reviewer   : Bhanukiran
-   Checklist OK?       : <, if OK> [2010-10-05]
-
-Symbolics with Sage
--------------------
-
-Hello friends and welcome to the tutorial on Symbolics with Sage.
-
-{{{ Show welcome slide }}}
-
-During the course of the tutorial we will learn
-
-{{{ Show outline slide  }}}
-
-* 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.
-
-In addtion to a lot of other things, Sage can do Symbolic Math and we shall
-start with defining symbolic expressions in Sage. 
-
-Have your Sage notebook opened. If not, pause the video and
-start you Sage notebook right now. 
-
-On the sage notebook type::
-   
-    sin(y)
-
-It raises a name error saying that ``y`` is not defined. We need to
-declare ``y`` as a symbol. We do it using the ``var`` function. 
-::
-
-    var('y')
-   
-Now if you type::
-
-    sin(y)
-
-Sage simply returns the expression.
-
-Sage treats ``sin(y)`` as a symbolic expression. We can use this to do
-symbolic math using Sage's built-in constants and expressions.
-
-Let us try out a few examples. ::
-   
-   var('x,alpha,y,beta') 
-   x^2/alpha^2+y^2/beta^2
-
-We have defined 4 variables, ``x``, ``y``, ``alpha`` and ``beta`` and
-have defined a symbolic expression using them.
- 
-Here is an expression in ``theta``  ::
-   
-   var('theta')
-   sin(theta)*sin(theta)+cos(theta)*cos(theta)
-
-Now that you know how to define symbolic expressions in Sage, here is
-an exercise. 
-
-{{ show slide showing question 1 }}
-
-%% %% 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.
-
-{{ show slide showing solution 1 }}
-
-Sage also provides built-in constants which are commonly used in
-mathematics, for instance pi, e, infinity. The function ``n`` gives
-the numerical values of all these constants.
-:: 
-    n(pi) 
-    n(e) 
-    n(oo)
-   
-If you look into the documentation of function ``n`` by doing
-
-::
-   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 in the course of this script.
-
-Also we can define the number of digits we wish to have in the
-constants. For this we have to pass an argument -- digits.  Type
-
-::
-
-   n(pi, digits = 10)
-
-Apart from the constants Sage also has a lot of built-in 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)
-
-Following are exercises that you must do. 
-
-{{ show slide showing question 2 }}
-
-%% %% 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
-
-{{ show slide showing solution 2 }}
-
-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 
-::
-      
-
-      var('x') 
-      h(x)=x^2 
-      g(x)=1 
-
-      f=Piecewise([[(0,1),h(x)],[(1,2),g(x)]],x) 
-      f
-
-We can also define functions convergent series and other 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. 
-
-Following  are exercises that you must do. 
-
-{{ show slide showing question 3 }}
-
-%% %% 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. 
-
-{{ show slide showing solution 3 }}
-
-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) 
-
-The diff function differentiates an expression or a function. It's
-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(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
-
-::
-
-    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)
-
-Let's 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.
-
-Following are a few exercises 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. 
-
-
-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()
-
-
-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. 
-
-
-{{{ Show the summary slide }}}
-
-That brings us to the end of this tutorial. In this tutorial we learnt
-how to
-
-* define symbolic expression and functions
-* use built-in constants and functions  
-* use <Tab> to see the documentation of a function  
-* do simple calculus
-* substitute values in expressions using ``substitute`` function
-* create symbolic matrices and perform operations on them
-