6 EC
Semester 1, period 1, 2
5334CODS6Y
Dynamics in one complex variable, focussed on the iterative behavior of polynomials and rational functions.
We will treat local behavior near fixed points, introduce Fatou and Julia sets and prove their basic properties. The course will follow course notes by Lukas Geyer, which are freely available via https://www.math.montana.edu/geyer/2016-fall-m597/materials/s2016-complex-dynamics-notes.pdf. These notes are partially based on the excellent but less elementairy book by Milnor, titled Dynamics in one Complex Variable, third edition. Exercises from Milnor's book will be assigned every two weeks.
Requirements for this course are bachelor level courses in complex analysis and topology. Some background in dynamical systems will be useful, but is required.
The final grade is determined by three components: the final exam (65%), bi-weekly homework exercises (20%), a one-hour lecture during the course (15%).
John Milnor, Dynamics in one complex variable, third edition
https://www.math.montana.edu/geyer/2016-fall-m597/materials/s2016-complex-dynamics-notes.pdf
Activity | Hours | |
Hoorcollege | 28 | |
Tentamen | 3 | |
Self study | 137 | |
Total | 168 | (6 EC x 28 uur) |
This programme does not have requirements concerning attendance (TER-B).
| Item and weight | Details |
|
Final grade | |
|
1 (100%) Tentamen |
The final grade is determined by three components: the final exam (65%), bi-weekly homework exercises (20%), a one-hour lecture during the course (15%).
Every two weeks homework exercises will be handed in, counting for 20%.
Students are encouraged to study together on the exercises. However, every student should hand in their own written or typed solutions, and include in their solutions the names of other students with whom they solved the exercises.
The 'Regulations governing fraud and plagiarism for UvA students' applies to this course. This will be monitored carefully. Upon suspicion of fraud or plagiarism the Examinations Board of the programme will be informed. For the 'Regulations governing fraud and plagiarism for UvA students' see: www.student.uva.nl
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The schedule for this course is published on DataNose.
Han Peters
Misha Hlushchanka