Ordu 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
MAT30720121310	THEORY OF COMPLEX FUNCTIONS-I	Compulsory	3	5	5

Level of Course Unit

First Cycle

Objectives of the Course

To teach the basic concepts of complex analysis.

Name of Lecturer(s)

Doç. Dr. Erhan SET

Learning Outcomes

1	will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Algebraic, geometric and topological properties of Complex numbers. Single complex variable functions, transformations, limits and continuity, derivatives, Cauchy-Riemann equations, Analytic functions, Harmonic functions. exponential functions, logarithmic functions, complex powers, trigonometric and hyperbolic functions and their inverse. Complex integrals, contour integration, Cauchy-Goursat theorem, fundamental theorems of integration.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Algebraic, geometric and topological properties of Complex numbers.
2	Single complex variable functions
3	Transformations, limits and continuity, derivatives
4	Cauchy-Riemann equations
5	Analytic functions
6	Harmonic functions
7	Exponential functions, logarithmic functions
8	Midterm exam
9	Complex powers
10	Trigonometric and hyperbolic functions and their inverse
11	Complex integrals
12	Contour integration
13	Cauchy-Goursat theorem
14	Fundamental theorems of integration.
15	Curves and Curve integrals
16	Final exam

Recommended or Required Reading

Turgut Başkan, Kompleks fonksiyonlar Teorisi, Uludağ Üniversitesi Yayınları 2000. R.V. Churchill, Complex Variable and Applications, McGraw-Hill , Inc. Ali Dönmez, Karmaşık Fonksiyonlar Kuramı, Dicle Üni., 1985 Marsden, J.E., Basic Complex Analysis, W.H.F. and Conpany, 1973.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1.5	1.5
Final Examination	1	1.5	1.5
Attending Lectures	4	14	56
Self Study	3	14	42
Individual Study for Homework Problems	2	14	28
Individual Study for Mid term Examination	1	12	12
Individual Study for Final Examination	1	12	12
TOTAL WORKLOAD (hours)			153.0

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	4	4	3	4	5	5	4

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