國立清華大學數學系
動態系統專題
Math 6225-00 (Spring 2023) Topics on Dynamical Systems
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Instructor: 陳國璋 Kuo-Chang Chen |
Office: 綜三 609 |
Course Description:
This is a research oriented course intended for graduate students who are interested in dynamical systems and analysis. It consists of short courses on various topics which are of significant interests but usually not covered in standard courses of dynamical systems, differential equations, or analysis. Basic concepts and examples will be introduced, and further readings will be assigned in classes. Students are expected to master themselves in at least one of the selected topics, and prepare a survey paper and a formal presentation at the end of the semester.
Materials to be covered include introduction and selected topics from:
1. Dynamical billiards
2. Evolutionary game theory
3. Celestial mechanics
4. KAM theory
Those who wish to take this course should have some background knowledge on real analysis, ordinary differential equations, and topology. Interested students are advised to consult the instructor before registration.
Grading:
Final paper (50%) and oral presentation (50%)
Attendance
Students are expected to attend every scheduled class. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes.