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
FMA637	THEORY OF FUNCTIONS I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of the course is • to learn the basic concepts of the theory of functions is to be ready to Scientific studies.Complex numbers • Power series • Analytic functions • Harmonic functions • Cauchy's theorem and the results • Singularities and residues • Argument principle • Maximum modulus principle • Schwarz's lemma

Name of Lecturer(s)

Doç. Dr. Erhan SET

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

Complex numbers Power series Analytic functions Harmonic functions Cauchy's theorem and the results Singularities and residues Argument principle Maximum modulus principle Schwarz's lemma

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Complex numbers
2	Complex numbers
3	Power series
4	Power series
5	Analytic functions
6	Analytic functions
7	Harmonic functions
8	Midterm exam
9	Cauchy's theorem and the results
10	Cauchy's theorem and the results
11	Singularities and residues
12	Singularities and residues
13	Projective and injective models
14	Argument principle
15	Maximum modus prenciple, Schwarz's lemma
16	Final exam

Recommended or Required Reading

Kondrad Knopp, Theory of Function, Part I and II Kondrad Knopp, Problem book in Theory of Functions EdwardCharles Titchmarsh, The Theory of Functions, Oxford University Press,1952.

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

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	4	56
Self Study	14	10	140
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	20	20
TOTAL WORKLOAD (hours)			240

Contribution of Learning Outcomes to Programme Outcomes

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

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