Course Information

Course Name	Turkish	KOMPLEKS ANALİZ
	English	Complex Analysis
Course Code	MAT 504E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	3	3	-	-	-
Course Language		English
Course Coordinator		İbrahim Kırat
Course Objectives		1. To teach the basic topics of Complex Analysis, 2. To teach the basic methods of proof and to develope the ability to solve theoretical problems.
Course Description		The Complex Number System: The Extended Plane, Metric Spaces and the Topology of Complex Number System, Elemetary Properties and Examples of Analytic Functions, Complex Integration, Singularities: Residues, The Argument Principle, The Maximum Modulus Theorem, Compactness and Convergence in the Space of Analytic Functions: The Riemann Mapping Theorem.
Course Outcomes		A student completing this course succesfully is expected to have learned the topics: I. Basic Concepts of Complex Analysis, II. Metric Spaces and the Topology of Complex Number System, III. Elemetary Properties of Analytic Functions and Complex Integration, IV. Singularities and The Maximum Modulus Theorem, V. Compactness and Convergence in the Space of Analytic Functions.
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Textbook		2. Pap, E. (1999). Complex Analysis through Examples and Exercises, Kluwer. 3. Berenstein, C.A. ve Gay, R.(1995) Complex Analysis and Special Topics in Harmonic Analysis, Springer. 4. Rudin, W. (1987). Real and Complex Analysis, McGraw-Hill. 5. Ahlfors, L.(1978). Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable, McGraw-Hill Higher Education; 2. Pap, E. (1999). Complex Analysis through Examples and Exercises, Kluwer. 3. Berenstein, C.A. ve Gay, R.(1995) Complex Analysis and Special Topics in Harmonic Analysis, Springer. 4. Rudin, W. (1987). Real and Complex Analysis, McGraw-Hill. 5. Ahlfors, L.(1978). Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable, McGraw-Hill Higher Education. .
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