After successful completion of the course, students are able to...

• Classify fractal forms
• Analyse shapes using methods of fractal geometry
• Investigate dynamic systems 
• Predict chaotic behaviour of dynamic systems
• Generate natural forms and phenomena by means of fractals

• Introduction and comparison of fractal and classic geometry
• Basics of fractal geometry (metric spaces, dynamic systems, fractal dimension)
• Iterated Function Systems (IFS)
• Julia-Sets and Mandelbrot-Set
• Stochastic Fractals
• L-Systems
• Chaos Theory
• Video presentation

Introduction to the concepts of fractal geometry.

Explanation of the different classes of fractals and their properties.

Illustration of fractal geometry through images and videos.

Discussion of algorithms for the visualization of fractals. 

Demonstration of fractal applications.

ECTS breakdown (estimation, recommendation):

30 hrs. lecture

45 hrs. preparation and examination

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75 hrs. equals to 3 ECTS each of 25 hrs.

Either an oral examination is taken or a presentation is given at the end of the lecture.  The presentation must deal with fractal geometry and supplement or deepen a focal point of the lecture.

Basic mathematical knowledge