This Fractal Geometry programme delivered by The Open University UK deals with the theory of fractals and their geometry, and looks at examples to which the theory can be applied.
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The theory of fractal geometry provides a general framework for the study of sets that had been thought to be exceptional oddities. This is an active area of research and both the theory and applications of fractal geometry are still being developed.

You will learn

Successful study of this Fractal Geometry programme delivered by The Open University UK  should enhance your skills in understanding complex mathematical texts, constructing solutions to problems logically and communicating mathematical ideas clearly.

Detailed Programme Facts

  • Programme intensity Part-time
  • Credits
    30 alternative credits
  • Languages
    • English
  • Delivery mode
  • More information Go to the programme website

Programme Structure

The module is based on the set book Fractal Geometry: Mathematical Foundations and Applications (Third edition) by K. J. Falconer (Wiley), which is in two parts.

  • Part I has eight chapters dealing with the general theory of fractals and their geometry.
  • Part II looks at examples of fractals to which the theory of Part I can be applied. These examples are drawn from a wide variety of areas of mathematics and physics.

The module begins with an introductory chapter covering the necessary background material. Next we study the material in chapters two to four of the book, which introduce appropriate definitions of dimension and methods for calculating such dimensions.

The second half of the module looks at applications including data compression, examples from number theory, dynamical systems and Julia sets.

English Language Requirements

You need the following IELTS score:

  • Minimum required score:


    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

General Requirements

  • To study this module you must declare the MSc in Mathematics (or another qualification towards which the module can count) as your qualification intention.
  • Normally, you should have also completed at least one of the entry modules of the MSc in Mathematics (F04), Calculus of variations and advanced calculus (M820) or Analytic number theory I (M823).


Check the programme website for information about funding options.

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

Fractal Geometry
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