Akademik Dersler - Tanıtım


Code - Course Title	MAT433 - Fractal Geometry I
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	DOÇENT DOKTOR DERYA ÇELİK
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Metrik and Topological Spaces I-II
Required or Recommended Resources	• Barnsley, M., Fractals everywhere, Academic Press, 1993.• Falconer, K., Fractal Geometry: Mathematical Foundations and Applications, Jhon Wiley & Sons, 2003.
Recommended Reading List	• Edgar, G., Measure, topology, and fractal geometry, Springer, 2000.
Assessment methods and criteria	Written examination
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Classical fractals and the notion of self-similarity
Week - 2	Complete metric spaces, Contraction maps and Fixed point theorem
Week - 3	Hausdorff metric
Week - 4	Iterated function systems (IFS)
Week - 5	Iterated function systems (IFS)
Week - 6	The notion of attractor and its examples
Week - 7	Examples of iterated function system
Week - 8	Examples for IFS
Week - 9	Countable iterated function system (CIFS)
Week - 10	Examples for CIFS
Week - 11	IFS with condensation
Week - 12	Collage theorem
Week - 13	Graph-directed IFS
Week - 14	Examples for graph-directed IFS

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	20
2.Midterm Exam	1	30
Final Exam	1	50
Toplam (%)		100