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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Prof. Dr. Hüseyin IRMAK
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Instructors
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Assistants
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Resources
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R1: Lecture notes
R2: Brown, J. W., Complex variables and applications - 6th ed., McGraw-Hill., 2005.
R3: Spiegel, M., Theory and problems of complex analysis, Schaum`s Outlines Series, Metric Editions.
R4: Silverman, R. A., Calculus with Analytic Geometry, Prentice Hall., 1985.
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Supplementary Book
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R5: Rudin, W., Real and Complex Analysis, McGraw-Hill., 1991.
R6: Complex variable with applicatins, Ponnusamy, S. and Silverman, H., Birkhauser, Berlin, 2006.
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Goals
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To introduce elementer functions, their derivatives, integrals and to apply them to complex functions and to know important theorems.
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Content
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Elementary functions, their derivatives, Cauchy-Riemann equations, Harmonic functions, w(t) curves in complex plane, their perimeters, their domains, Complex integral notion , Cauchy Goursat theorem, Cauchy integral formula, Liouville theorem and Fundamental Theorem of Algebra, Taylor and Laurent Series, Zeros, polar points and residue of Analytic functions.
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