Hello,

I was just glancing through the GSOC 2014 Project Ideas page and found two 
project of very much interest to me.

     The first one was "Step By Step Expression Manipulation". The idea 
behind this project is to display the intermediate steps of evaluating an 
expression to enhance user's experience and understanding. I found the idea 
very interesting to be included in the library. There were few questions 
posted along with the idea and i would give my possible solution to those:
1) To enhance the user experience there could be two option of directly 
viewing the result or view the step by step calculations along with 
displaying how the graph gets       modified along the way. The user can 
also change the parameters and see the corres. change being reflected at 
each step to analyze the behaviour followed the the given expression.Also 
there can be options provided to vary graph parameters and analyzing the 
corres. changes on the expression itself.
2)The best way to avoid code duplication in this case would be to have a 
well modularized independent blocks within our code.

Again I am just suggesting my ideas. I am not very much clear as per now 
how to implement those.

    The second project was on "Ordinary Differential Equations". I went 
through the algorithms mentioned there which were really but the research 
paper on those topics have clearly covered how to implement those. This 
project is more of mathematical but is interesting.

Looking forward for your feedback on my suggestions and request of working 
with the organization on either project.

Regards,
Pulkit Agarwal

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