(Answered) I want to write an essay about two things for a phd

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I want to write an essay about two things for a PhD admission in Mathematics:

First, about all my courses that I have taken in my master's degree, and I want to mention that I am more interested in Complex Analysis, and Real Analysis with specialty in Metric Space, Compactness, Analytic Function, Singularities, Cauchy's Theorem, Residues Theorem, and The Riemann Mapping Theorem.

Second, about the Dynamical System and what areas of dynamical system do I think are more important?

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