Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT-23-218 | Complex AnalysIs II | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Third Cycle |
Objectives of the Course |
To give the basic concepts and techniques in the course content and to improve students' problem solving skills by applying these concepts and techniques. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Hasan KARA |
Learning Outcomes |
1 | To introduce students to complex numbers and complex plane |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
It is need to know the basic facts of mathematics courses in the graduate level. |
Recommended Optional Programme Components |
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Course Contents |
Series representation of analytical functions
Complex Taylor and Maclaurin series
Laurent series and exercises
Classification of singular points
Residues and residual theorem
Calculation of some real integrals with residues
Calculation of the sum of series with the help of residual theorem
Argument principle and applications
Conformal transformations
Linear fractional transformations
Residual formula for inverse Laplace transform |
Weekly Detailed Course Contents |
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1 | Series representation of analytical functions | | | 2 | Complex Taylor and Maclaurin series
| | | 3 | Exercises | | | 4 | Laurent series and exercises
| | | 5 | Classification of singular points
| | | 6 | Exercises | | | 7 | Residues and residual theorem | | | 8 | Mid Term Exam | | | 9 | Calculation of some real integrals with residues
| | | 10 | Calculation of the sum of series with the help of residual theorem
| | | 11 | Argument principle and applications
| | | 12 | Conformal transformations
| | | 13 | Linear fractional transformations
| | | 14 | Residual formula for inverse Laplace transform
| | | 15 | Final Exam | | |
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Recommended or Required Reading |
Kompleks Analiz, Prof. Dr. Turgut Başkan
Kompleks analiz ve uygulamaları, Ruel V. Churchill, James Ward Brown
Kompleks değişkenli fonksiyonlar teorisi, Prof. Dr. Mithat İdemen
Kompleks fonksiyonlar teorisi ders notları, Prof. Dr. İ. Kaya Özkın
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 50 | End Of Term (or Year) Learning Activities | 50 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Question-Answer | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 50 | 50 |
Individual Study for Final Examination | 1 | 50 | 50 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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