Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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About the Program Educational Objectives Key Learning Outcomes Course Structure Diagram with Credits Field Qualifications Matrix of Course& Program Qualifications Matrix of Program Outcomes&Field Qualifications
  • Faculty of Science
  • Department of Mathematics
  • Course Structure Diagram with Credits
  • Fractal Geometry I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information
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) DOKTOR ÖĞRETİM ÜYESİ FATMA DİĞDEM KOPARAL
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 Quality Education

Content

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

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Discussion
  • Question & Answer
  • Problem Solving
  • Brain Storming
  • Competences
  • Rational
  • Questoning
  • Creative
  • Eleştirel düşünebilme
  • Information Management
  • Elementary computing skills

Assessment Methods

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