I have a strong interest in working with SymPy through Google Summer of 
Code and was looking at your project ideas.  The project that is most 
appealing to me is the one on the implementation of multiple types of 
coordinate systems for vectors.  I was curious to know if you had 
considered creating a function that calculates the dot product. I looked at 
the linked work on *vectors * 
<https://github.com/sympy/sympy/tree/master/sympy/vector>and didn’t see any 
work on that.  If there is work on dot products already, once the framework 
for expressing vectors in other coordinates is solid, then it might be 
useful to develop a dot product calculator that is also able to accept 
different coordinate inputs.  

Regarding my current skill set, I have taken a CS course at my school, 
University of Vermont, and while I am not enrolled in any programming 
classes this semester, I recently set up my *GitHub account* 
<https://github.com/mikaylazgrace> and am independently working on becoming 
more proficient in Python and Git through Code Academy. I would say that by 
the end of the semester and the start of the program I will be a solid 
beginner in both.  I am a second-year pure math major and would put my math 
level at “intermediate”  I also have an on-site mentor, *Christelle 
Vincent, PhD,* <https://github.com/christellevincent> who would be 
available over the summer.

I'd love to hear your thoughts about extending the idea of different 
coordinates systems to a dot product calculator. Please let me know if you 
think my current skill set aligns with the project I'm interested in or if 
there's another project I might be better suited for.  Thank you for your 
time, and I look forward to hearing back from you!

Sincerely,
Mikayla Grace

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