I am not the best person to talk about the Math part, but for vector 
calculus, you can have a look at Stefan's differential geometry module. To 
be more precise according to your interests, you can have a look at 
Prasoon's work this summer on the new vector calculus module. I helped him 
with parts of it, so I can give you pointers on where you could work and 
how. Have a look at his work (I am not sure of the timeline that has been 
planned for the module though) - there is a lot of work that can be done on 
it, so you can send talk to Prasoon about any enhancements/bugs you can 
think of.

On a general note, for any particular module, look at the issue tracker to 
find bugs related to it and have a go at them :-).


On Wednesday, October 16, 2013 1:10:27 AM UTC+5:30, Sumol wrote:
>
>  Hi,
> My name is Sumol Lodha. I'm a 3rd year Computer Science Engineering 
> student. I'm
> interested to work for SymPy for GSoC 2014 and seeing the previous years 
> projects, I have very much interest in topics related Maths and 
> Physics(especially vector calculus). Any pointers on how should I proceed 
> ?. Also I am new to open source development and would like to explore it.
> Any help would be greatly appreciated.
>
> Thank you,
> Sumol.
>

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