Akademik Dersler - Tanıtım


Code - Course Title	MAT434 - Fractal Geometry II
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	DOKTOR ÖĞRETİM ÜYESİ 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	Fractal geometry I, Metrik and Topological Spaces I-II
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	Space filling curves.
Week - 2	Classical notions of dimension.
Week - 3	Topological dimension (covering dimension).
Week - 4	Hausdorff measure and Hausdorff dimension.
Week - 5	Box-counting dimension.
Week - 6	Box-counting dimension.
Week - 7	Open set condition for an IFS.
Week - 8	Moran equation and computing fractal dimension by Moran equation.
Week - 9	Computing fractal dimension numerically.
Week - 10	Mandelbrot set and Julia sets.
Week - 11	Algorithms to obtain Julia sets.
Week - 12	Interpolation functions.
Week - 13	Fractal interpolation functions.
Week - 14	Examples of fractal interpolation functions.

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