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
FMA631	THEORY OF FUNCTIONS OF COMPLEX VARIABLES I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

• to learn the basic concepts of complex analysis is to be ready to Scientific studies

Name of Lecturer(s)

Yrd. Doç. Dr. Erdal ÜNLÜYOL

Learning Outcomes

1	To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• Selected concepts in a single complex variable holomorphic functions theory, (analyticity, Cauchy's formula, the identity theorem, maximum principle, rings of Holomorphic functions) • Cn space • power series • Cauchy integrals • the identity theorem • real and complex differentiability • holomorphic depictions • Poincare's lemma • analytic continuation and holomorphi regions

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Selected concepts in a single complex variable holomorphic functions theory
2	Analyticity, Cauchy's formula, the identity theorem
3	Maximum principle, rings of Holomorphic functions
4	Cn space, power series
5	Cn space, power series
6	Cauchy integrals
7	Cauchy integrals
8	Midterm exam
9	The identity theorem
10	Real and complex differentiability
11	Real and complex differentiability
12	Holomorphic depictions
13	Poincare's lemma
14	Analytic continuation and holomorphi regions
15	Analytic continuation and holomorphi regions
16	Final exam

Recommended or Required Reading

1 Complex Analysis, Ahlfors L.1980, Mc Graw Hill Book Company Other References 1 Complex Analysis in One Variable, Narasimhan, 1985, Birhauser 2 Functions of One Complex Variable, Conway J.B.,1995, Springer Verlag 3 Functions of One Complex Variable II, Conway J.B., 1996,Springer Verlag

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	2	2
Final Examination	1	2	2
Makeup Examination	1	2	2
Attending Lectures	14	6	84
Problem Solving	10	2	20
Self Study	14	4	56
Individual Study for Mid term Examination	8	4	32
Individual Study for Final Examination	6	4	24
TOTAL WORKLOAD (hours)			222

Contribution of Learning Outcomes to Programme Outcomes

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

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