Dersin Bilgileri

Dersin Adı	Türkçe	Kompleks Fonk Teorisi
	İngilizce	Theory of Complex Functions
Dersin Kodu	EHB 235	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	1	3	2	1	-
Dersin Dili		Türkçe
Dersin Koordinatörü		Mehmet Nuri Akıncı
Dersin Amaçları		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
Dersin Tanımı		The course aims to give a solid background for theory of complex variables.
Dersin Çıktıları		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
Önkoşullar
Gereken Olanaklar
Diğer
Ders Kitabı		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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