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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, 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. Other References

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