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| MATH 625 - Complex Analysis |
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Prerequisite: Admission to the MS program in Mathematics or consent of instructor This course provides a rigorous analysis of the theory of functions in the complex plane, with a focus on formal proofs and deeper theoretical foundations. Topics include the algebra and geometry of the complex plane, limits and differentiability of complex functions, Cauchy's integral theorem and its consequences, analytic and harmonic functions, conformal mappings, singularities, Laurent series, residue calculus and applications to contour integration. Additional topics may include normal families and Riemann mapping theorem. Offered alternate fall semesters.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate Schedule Types: Directed Study, Lecture, Online Hybrid, Online Asynchronous, Online Synchronous Mathematics Department Restrictions: Must be enrolled in one of the following Programs: Mathematics, MS Must be enrolled in one of the following Levels: Graduate |
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