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EHB 235
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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, CauchGoursat 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, CauchGoursat 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
Prerequisite(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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