1	Course Title:	COMPLEX ANALYSIS I
2	Course Code:	MAT5105
3	Type of Course:	Optional
4	Level of Course:	Second Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	none
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. OSMAN BİZİM
16	Course Lecturers:	Prof.Dr.Betül Gezer
17	Contactinformation of the Course Coordinator:	obizim@uludag.edu.tr, 0224 2941757 B.U.Ü. Fen-Ed. Fak. Matematik Bölümü, Görükle/BURSA
18	Website:
19	Objective of the Course:	To teach analytical functions, Global Cauchy theorem and the results, the series of analytic functions, normal families, meromorphic functions, residue theorem and its consequences.
20	Contribution of the Course to Professional Development	Students have the necessary equipment about abstract algebra courses in graduate education.

21

Learning Outcomes:

1 He/she interprets the analitic functions. ; 2 He/she interprets complex integral ; 3 He/she interprets the complex sequences and series. ; 4 He/she estimates place the zero. ; 5 He/she Finds the largest and smallest values of the functions modules.; 6 He/she interprets the principle of the argument ; 7 He/she wins Theoretical thinking skill . ;

22	Course Content:

Week	Theoretical	Practical
1	Analytic functions
2	Cauchy's theorem
3	Global Cauchy theorems
4	The results of Cauchy's theorem
5	Branches of logarithm and power function
6	Sequences and series of analytic functions
7	Taylor and Laurent series
8	Normal families
9	Zeros of analytic functions
10	Singularities
11	Residue theorem and its consequences
12	The argument principle, Rouche and Hurwitz theorems
13	Extended complex plane
14	Meromorf functions

23	Textbooks, References and/or Other Materials:	B.P. PALKA: An Introduction to Complex Function Theory, Springer-Verlag,1991. J. H. MATHEWS & R.W.HOWELL: Complex Analysis, Jones and Bartlett Pub. 1997.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	0	0
Quiz	0	0
Homeworks, Performances	1	50
Final Exam	1	50
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course	The system of relative evaluation is applied.
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	5	70
Homeworks, Performances	1	60	60
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	0	0	0
Others	1	4	4
Final Exams	1	10	10
Total WorkLoad			186
Total workload/ 30 hr			6,2
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 1 2 1 3 2 1 2 3 4 2 LO2 2 2 3 1 3 2 1 3 2 1 LO3 3 1 2 2 1 3 1 2 3 2 LO4 1 1 3 3 2 1 3 2 1 3 LO5 2 3 2 1 2 4 2 2 2 2 LO6 2 1 2 2 3 2 3 1 2 2 LO7 1 2 3 3 2 2 1 3 1 3

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High