using_sage_to_teach/script.rst
author Anoop Jacob Thomas<anoop@fossee.in>
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.. Objectives
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.. ----------
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.. By the end of this tutorial you will be able to
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..  * use ``@interact`` feature of SAGE
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..  * learn to share, publish and edit SAGE worksheets
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.. Prerequisites
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.. -------------
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..   1. Getting started with lists
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.. Author              : Nishanth Amuluru
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   Internal Reviewer   : 
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   External Reviewer   :
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   Language Reviewer   : Bhanukiran
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   Checklist OK?       : <put date stamp here, not OK> [2010-10-05]
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Script
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------
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{{{ Show the slide containing title }}}
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Hello friends and welcome to the tutorial on Using SAGE to teach
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{{{ Show the slide containing the outline slide }}}
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In this tutorial, we shall learn
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 * How to use the "@interact" feature of SAGE for better demonstration
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 * How to use SAGE for collaborative learning
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Let us look at a typical example of demonstrating a damped oscillation.
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::
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    t = var('t')
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    p1 = plot( e^(-t) * sin(2*t), (t, 0, 15))
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    show(p1)
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Now let us reduce the damping factor
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::
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    t = var('t')
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    p1 = plot(e^(-t/2) * sin(2*t), (t, 0, 15))
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    show(p1)
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Now if we want to reduce the damping factor even more, we would be using
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e^(-t/3). We can observe that every time we have to change, all we do is change
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something very small and re evaluate the cell.
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This process can be simplified, using the ``@interact`` feature of SAGE.
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::
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    @interact
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    def plot_damped(n=1):
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        t = var('t')
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        p1 = plot( e^(-t/n) * sin(2*t), (t, 0, 20))
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        show(p1)
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We can see that the function is evaluated and the plot is shown. We can also
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see that there is a field to enter the value of ``n`` and it is currently set
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to ``1``. Let us change it to 2 and hit enter.
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We see that the new plot with reduced damping factor is shown. Similarly we can
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change ``n`` to any desired value and hit enter and the function will be
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evaluated. 
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This is a very handy tool while demonstrating or teaching.
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{{{ Pause here and try out the following exercises }}}
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%% 1 %% Plot the sine curve and vary its frequency using the ``@interact``
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{{{ continue from paused state }}}
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::
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    @interact
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    def sine_plot(n=1):
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        x = var('x')
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        p2 = plot(sin(n*x), (x, 0, 2*pi))
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        show(p2)
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Often we would want to vary a parameter over range instead of taking it as an
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input from the user. For instance we do not want the user to give ``n`` as 0
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for the damping oscillation we discussed. In such cases we use a range of
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values as the default argument.
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::
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    @interact
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    def plot_damped(n=(1..10)):
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        t = var('t')
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        p1 = plot( e^(-t/n) * sin(2*t), (t, 0, 20))
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        show(p1)
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We get similar plot but the only difference is the input widget. Here it is a
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slider unlike an input field. We can see that as the slider is moved, the
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function is evaluated and plotted accordingly.
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{{{ Pause here and try out the following exercises }}}
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%% 2 %% Take a string as input from user and circular shift it to the left and
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        vary the shift length using a slider
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{{{ continue from paused state }}}
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::
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    @interact
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    def str_shift(s="MADAM", shift=(0..8)):
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        shift_len = shift % len(s)
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        chars = list(s)
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        shifted_chars = chars[shift_len:] + chars[:shift_len]
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        print "Actual String:", s
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        print "Shifted String:", "".join(shifted_chars)
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Sometimes we want the user to have only a given set of options. We use a list
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of items as the default argument in such situations.
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::
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    @interact
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    def str_shift(s="STRING", shift=(0..8), direction=["Left", "Right"]):
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        shift_len = shift % len(s)
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        chars = list(s)
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        if direction == "Right":
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            shifted_chars = chars[-shift_len:] + chars[:-shift_len]
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        else:
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            shifted_chars = chars[shift_len:] + chars[:shift_len]
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        print "Actual String:", s
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        print "Shifted String:", "".join(shifted_chars)
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We can see that buttons are displayed which enables us to select from a given
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set of options.
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We have learnt how to use the ``@interact`` feature of SAGE for better
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demonstration. We shall look at how to use SAGE worksheets for collaborative
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learning.
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The first feature we shall see is the ``publish`` feature. Open a worksheet and
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in the top right, we can see a button called ``publish``. Click on that and we
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get a confirmation page with an option for re publishing.
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For now lets forget that option and simply publish by clicking ``yes``. The
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worksheet is now published. 
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Now lets sign out and go to the sage notebook home. We see link to browse
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published worksheets. Lets click on it and we can see the worksheet. This does
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not require login and anyone can view the worksheet.
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Alternatively, if one wants to edit the sheet, there is a link on top left
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corner that enables the user to download a copy of the sheet onto their home.
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This way they can edit a copy of the worksheet.
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We have learnt how to publish the worksheets to enable users to edit a copy.
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Next, we shall look at how to enable users to edit the actual worksheet itself.
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Let us open the worksheet and we see a link called ``share`` on the top right
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corner of the worksheet. Click the link and we get a box where we can type the
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usernames of users whom we want to share the worksheet with. We can even
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specify multiple users by seperating their names using commas. Once we have
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shared the worksheet, the worksheet appears on the home of shared users.
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{{{ Show summary slide }}}
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This brings us to the end of the tutorial.
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we have learnt
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 * How to user interactive feaures of SAGE
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 * How to publish our work
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 * How to edit a copy of one of the published worksheets
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 * How to share the worksheets with fellow users
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{{{ Show the "sponsored by FOSSEE" slide }}}
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This tutorial was created as a part of FOSSEE project, NME ICT, MHRD India
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Hope you have enjoyed and found it useful.
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Thank you!
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