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 II
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications
  • ECTS Credit Load

Course Introduction Information
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 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 Fractal geometry I, 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 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.

Learning Activities and Teaching Methods

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

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
Toplam (%) 0
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