Text: B. Hasselblatt and A. Katok, A First Course in Dynamics.
Course description: The goal of this course is to present the fundamental
concepts and tools
that dynamics uses
to describe complex long-term behavior in systems that evolve in time.
The topics will include contractions, linear maps, differential equations,
recurrence, equidistribution,
hyperbolic systems,
symbolic systems and coding, fractals, entropy, and chaos.
We will also discuss
applications of dynamics in mathematics and natural sciences.
Prerequisites: MA 227, MA 237, MA 238, and MA 334, or permission of the instructor.
Exams: There will be a midterm exam and a cumulative final exam.
The date of the midterm will be announced at least one week in advance.
The final exam will be on
Wednesday, April 30, 10:30 a.m. - 12:30 p.m.
Homework: A homework assignment will be given each Wednesday,
it will be due the following Wednesday.
Final score and letter grade computation:
|
Homework: Midterm Exam: Final Exam: |
60% 15% 25% |
A: B: C: D: |
at least 85% at least 75% at least 65% at least 55% |