University at Buffalo 3 credits Mathematics
The course covers fundamentals of complex analysis with an eye towards development of applied mathematics methods relying on complex analysis such as applications of contour integration, conformal mapping, asymptotic evaluation of integrals, infinite products and Mittag-Leffler expansions, differential equations in the complex plane and Painleve? transcendents, Riemann-Hilbert problems and d-bar problems, inverse scattering transform, and unified transform method for boundary value problems.
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