Course Information

Course Name	Turkish	Kompleks Fonk Teorisi
	English	Theory of Complex Functions
Course Code	EHB 235	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	2	1	-
Course Language		Turkish
Course Coordinator		Mehmet Nuri Akıncı
Course Objectives		1. Complex Numbers and Basic Operations 2. Elementary Complex Functions 3. Inverse Functions of Elementary Complex Functions (Square Root Function) 4. Inverse Functions of Elementary Complex Functions (Logarithm - Complex Power - Inverse Trigonometric - Inverse Hypergeometric Functions) 5. Limit, Derivative, Analytic Functions, Harmonic Functions 6. Conformal Mapping 7. Applications of Conformal Mapping 8. Integrals (Contour integrals, Antiderivatives, Cauch-Goursat Theorem) 9. Midterm (20 Nov. 2019 - Will include everything covered until this date.) 10. Integrals (Cauchy Integral Formula, Residues and Poles) 11. Evaluation of Some Integrals via Complex Integration 12. Series (Taylor Series) 13. Series (Laurent Series) 14. Evaluation of Summation of Some In?nite Series via Complex Analysis
Course Description		The course aims to give a solid background for theory of complex variables.
Course Outcomes		1. Complex Numbers and Basic Operations 2. Elementary Complex Functions 3. Inverse Functions of Elementary Complex Functions (Square Root Function) 4. Inverse Functions of Elementary Complex Functions (Logarithm - Complex Power - Inverse Trigonometric - Inverse Hypergeometric Functions) 5. Limit, Derivative, Analytic Functions, Harmonic Functions 6. Conformal Mapping 7. Applications of Conformal Mapping 8. Integrals (Contour integrals, Antiderivatives, Cauch-Goursat Theorem) 9. Midterm (20 Nov. 2019 - Will include everything covered until this date.) 10. Integrals (Cauchy Integral Formula, Residues and Poles) 11. Evaluation of Some Integrals via Complex Integration 12. Series (Taylor Series) 13. Series (Laurent Series) 14. Evaluation of Summation of Some In?nite Series via Complex Analysis
Pre-requisite(s)
Required Facilities
Other
Textbook		1. Complex Variables and Applications, R. V. Churchill; 2. Kompleks De^gi¸skenli Fonksiyonlar Teorisi, M. Idemen 3. Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Ahlfors, Lars V.
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