Yozgat Bozok 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
MAT511	COMPLEX ANALYSIS	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce special issues of some widely used applications of comlex analysis.

Name of Lecturer(s)

Doç. Dr. Abdullah SÖNMEZOĞLU

Learning Outcomes

1	To know the unigueness theorems for analytic functions.
2	To know Riemann conformal mapping theorem.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Properties of Analytic Functions unıqueness theorems of analytic functions Logaritmic rezüiler, meramorf functions zero and pole locations, on the conversions rule, inverse transformation rule fundemental theorem of algebra Konfornmluğu fraction-linear transformations normal family of analytic functions Montel's theorem Riemann's conformal mapping theorem Bound values of conformal transformations. A general review of Cauchy formula and some results, Exact functions, Exact functions and zeros, Infinite products, Weierstrass formula, Order of complete function, Analytic continuation concept, Analytic continuation on a chain of regions, Continuity of functional equations, Continuity of functional equations

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Properties of Analytic Functions Riemann's conformal mapping theorem Limit values of conformal transformations.
2	unıqueness theorems of analytic functions
3	unıqueness theorems of analytic functions
4	Logaritmic rezüiler, meramorf functions zero and pole locations,
5	on the conversions rule, inverse transformation rule
6	on the conversions rule, inverse transformation rule
7	fundemental theorem of algebra
8	MID TERM EXAM
9	Konfornmluğu fraction-linear transformations
10	Konfornmluğu fraction-linear transformations
11	normal family of analytic functions
12	Montel's theorem
13	Riemann's conformal mapping theorem
14	Limit values of conformal transformations.
15	Limit values of conformal transformations.
16

Recommended or Required Reading

T.BAŞKAN, Complex Function Theory, Vipaş Publications, 2000. B.V. Shabat, Introduction to Complex Analysis Vol. 1, Lan, 2004. M.A. Evgrafov, Problems on the Analytic Functions, Nakua, 1972. J.E. Marsden, Basic Complex Analysis, W.H.F. Company, 1973. C.B. Conway, Fuctions of One Complex Variable, Springer-Verlag, 1978.

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		40
End Of Term (or Year) Learning Activities		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	3	42
Self Study	14	3	42
Individual Study for Mid term Examination	7	6	42
Individual Study for Final Examination	7	6	42
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

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