1	Course Title:	FRACTAL GEOMETRY
2	Course Code:	MAT4085
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	4
6	Semester:	7
7	ECTS Credits Allocated:	5
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. ESEN İYİGÜN
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	e-posta: esen@uludag.edu.tr telefon: 0.224.2941766 adres: Uludağ Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 16059, Görükle Kampüsü, Bursa
18	Website:
19	Objective of the Course:	The aim of the course is to teach students to fractal geometry with properties, dimension, self-similarity and examples in nature.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Introduces the concept of fractal and teaches history of fractals. ; 2 Teaches to obtain new shapes from the usual geometric shapes.; 3 Teaches geometry of transformations in the plane.; 4 Teaches self-similarity which is one of the important properties of fractals.; 5 Teaches how to calculate of the dimension by introducing the concept of dimension in some special fractals.; 6 Teaches the calculation of the length of a fractal curve.; 7 Introduces examples of fractals in nature.;

22	Course Content:

Week	Theoretical	Practical
1	Course description, content and history.
2	Known examples of fractals.
3	Polygon, circle ve square fractals.
4	Fill space curves.
5	Geometry of transformations in the plane.
6	Self-similarity in fractals.
7	Dimension in some special fractals.
8	Midterm and repeating courses.
9	Koch curve and calculation of dimension.
10	Minkowski fractal and calculation of dimension, Hausdorff dimension.
11	Length of a fractal curve, Length paradox of Koch curve.
12	Calculation dimension with box counting method.
13	Similarity in size, Moran equation.
14	Application in nature belonging to fractals.

23	Textbooks, References and/or Other Materials:	Prof. Dr.H.Hilmi Hacısalihoğlu, Araş.Gör. Nergis Yaz, Fraktal Geometri I, Ankara Üniversitesi Fen Fakültesi, Matematik Bölümü, Ankara, 2007.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
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	4	56
Homeworks, Performances	0	2	28
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	11	11
Others	0	0	0
Final Exams	1	13	13
Total WorkLoad			150
Total workload/ 30 hr			5
ECTS Credit of the Course			5

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 4 4 0 0 0 0 0 0 0 0 LO2 0 0 0 4 3 0 0 0 0 0 LO3 0 0 0 4 0 0 0 0 0 0 LO4 4 0 0 4 4 0 0 0 0 0 LO5 0 4 0 0 0 3 0 0 0 0 LO6 0 4 0 4 0 0 0 0 0 0 LO7 4 4 0 4 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High