Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT-23-218Complex AnalysIs IIElective126
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
1To introduce students to complex numbers and complex plane
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
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
WeekTheoreticalPracticeLaboratory
1Series representation of analytical functions
2Complex Taylor and Maclaurin series
3Exercises
4Laurent series and exercises
5Classification of singular points
6Exercises
7Residues and residual theorem
8Mid Term Exam
9Calculation of some real integrals with residues
10Calculation of the sum of series with the help of residual theorem
11Argument principle and applications
12Conformal transformations
13Linear fractional transformations
14Residual formula for inverse Laplace transform
15Final Exam
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
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
Turkish
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14342
Question-Answer14342
Individual Study for Mid term Examination15050
Individual Study for Final Examination15050
TOTAL WORKLOAD (hours)187
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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