Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT-23-118	COMPLEX ANALYSIS I	Elective	1	1	6

Level of Course Unit

Second 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	Developes and deepens knowledge in the related program’s area based upon the competency in the undergraduate level; reaches, evaluates, interprets and applies knowledge by doing research.
2	Has the ability of problem-solving, reasoning, association and generalization.
3	Developes the ability to access to information and search the literature in his/her field.
4	Reflections on theoretical and practical knowledge gained due to the conditions of the day.
5	Performs an advanced study independently of the field.

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

None

Course Contents

Set of complex numbers. Expanded complex plane, Transformations Exponential and Trigonometric Functions Hyperbolic and Logarithmic Functions Inverse trigonometric, inverse hyperbolic functions and complex force function inverse hyperbolic functions and complex force function inverse hyperbolic functions and complex force function, n-th root function Sequences and limits of complex functions Continuity and differentiation of complex functions Definition and basic properties of analytic functions Cauchy-Riemann equations, Harmonic functions Cauchy integral theorem and its results Cauchy integral formula and its results, applications.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Set of complex numbers.
2	Expanded complex plane, Transformations
3	Exponential and Trigonometric Functions
4	Hyperbolic and Logarithmic Functions
5	Inverse trigonometric, inverse hyperbolic functions and complex force function
6	inverse hyperbolic functions and complex force function
7	inverse hyperbolic functions and complex force function, n-th root function
8	MID TERM EXAM
9	Sequences and limits of complex functions
10	Continuity and differentiation of complex functions
11	Definition and basic properties of analytic functions
12	Cauchy-Riemann equations, Harmonic functions
13	Cauchy integral theorem and its results
14	Cauchy integral formula and its results, applications.
15	Final Exam
16

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 Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
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)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
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
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
LO1	5	5	5	5	5	5	5	5	5	5	5
LO2	5	5	5	5	5	5	5	5	5	5	5
LO3	5	5	5	5	5	5	5	5	5	5	5
LO4	5	5	5	5	5	5	5	5	5	5	5
LO5	5	5	5	5	5	5	5	5	5	5	5

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High