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Prerequisites
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Language of Instruction
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English
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Responsible
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Prof. Dr. Faruk POLAT
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Instructors
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Assistants
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Resources
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R1. Brown, J. W. and Churchill R. V. (2003). Complex variables and applications (7th ed.). McGraw-Hill Company, New York.
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Supplementary Book
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SR1- Rudin, W. (1991). Real and Complex Analysis. McGraw-Hill, New York.
SR2- Bak, J. and Newman, D.J. (1997). Complex Analysis (3rd ed.) Springer, New York.
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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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