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Topics in mathematics

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For a mathematical methods course, the end of year assignment is to study and present a topic in mathematics of my choice. I'd like to pick something directly related to electrodynamics that will prove to be useful later. However, I have very little idea of what is used in electrodynamics! Does anyone have a suggestion?

This is a sophomore/junior level course. My mathematics background so far is Calc 1,2, multivariable, vector, and diff. eqs.

Thank you very much for your time!

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