802674S Fractal Geometry 2 (10 cr)
Cooperation network course
Network: Cross-institutional studies in advanced courses in mathematics and statistics
This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:
- Bachelor's Degree Programme in Mathematics
- Master's Degree Programme in Mathematics
- Bachelor's Degree Programme in Mathematics (Subject Teacher)
- Master's Degree Programme in Mathematics (Subject Teacher)
- Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Doctoral Programme in Mathematics and Statistics
- Doctoral Programme in Mathematics and Science (Specialication in Mathematics)
Description
- Fourier transform
- typical and exceptional projections
- general intersections
- Besicovitch sets
- random covering sets
- visible parts
Learning outcomes
Upon completion of the course, the student will be able to:
- use Fourier analytic methods in fractal geometry problems
- is familiar with several main research lines in fractal geometry
- use a great variety of methods used in fractal geometry
Generic skills: analytical, critical and creative thinking, well-being and self-development, internationality, responsibility and ethics and communication and interaction.
Additional information
Language of instruction
Finnish/English (according to the participants)
Timing
4. or 5. year
Target group
Majors in mathematics and graduate students
Description of prerequisites
802651S Measure and integration. Courses 8000AE47 Measure and Integration 2 and 802650S Fractal Geometry are useful but not necessary.