Course Information

Course Name	Turkish	Kompleks Fonk Teorisi
	English	Theory of Complex Functions
Course Code	EHB 235E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Semih Doğu
Course Objectives		To teach the fundamental concept of complex analysis, i.e., complex plane, analytic function and Riemann surface to engineering students, the residue theory and integration in complex plane, conformal mapping and power series expansion. To apply the complex analysis methods to various electromagnetic and signal processing problems.
Course Description		Definition of Complex plane, Riemann surface, multi-valued functions such as square-root and logarithmic function. Derivative in complex domain, analytic function and Laplace equation. Introduction to conformal mapping and its application to boundary value problems. Residue theorem and its application to evaluate definite integrals. Infinite series, power series, Taylor and Laurent expansion of functions. Determination of analytic continuation of function
Course Outcomes		I. Gain knowledge on fundamental concepts of complex analysis II. Gain knowledge on multi-valued functions, i.e., square-root and logarithmic function and their applications III. Gain knowledge on analytic function and singular points of complex functions IV. Gain knowledge on Conformal mapping and simplification of boundary value problems as its application. V. Gain knowledge on residue theory and its application to evaluate definite integral. VI. Gain knowledge on Taylor and Laurent series, their domain of convergence and applications
Pre-requisite(s)		MAT 102 MIN DD veya (or) MAT 102E MIN DD veya (or) MAT 104 MIN DD veya (or) MAT 104E MIN DD
Required Facilities
Other
Textbook		J. W. Brown, R. V. Churchill, Complex Variables and Applications, 9th Edition, McGraw Hill, 2013. E. B. Saff, A. D. Snider, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd Edition, Pearson, 2003. M. Idemen, ' Kompleks De^gi¸skenli Fonksiyonlar Teorisi, 2nd Edition, IT ' U Vakfı Yayınları, 2008
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