Introduction
to Dynamical Systems and
Winter 2014Applied Dynamical Systems AMS 114/214 MonWedFri 2:00pm-3:10am Engineering 2 194 |
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| Lecture/Exam Dates Your Grade Homework Useful Info Course Material Instructor | ||||||||||||
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The course introduces continuous and discrete dynamical systems. Topics include: fixed points, stability, limit cycles, bifurcations, transition to and characterization of chaos, fractals. Examples are drawn from sciences and engineering. The course concludes with selected topics. Students will learn through hands-on experience; therefore, the course is homework intensive. Please regularly check the webpage for updates. Literature: My
lecture notes will be used as the basis for the course and the exams.
The notes will be posted on this web page under the link "Course
Material". Please note that students may be disciplined for selling, preparing,
or distributing course lecture notes for any commercial purpose, whether
or not they have taken the notes themselves. To follow the course and for further reference, the required textbook is: S.H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering, Westview Press. | ||||||||||||
| Additional readings for graduate students: H. K. Khalil, Nonlinear Systems, Prentice Hall; S. Sastry, Nonlinear Systems: Analysis, Stability and Control, Springer; and M. Vidyasagar, Nonlinear Systems Analysis, SIAM. |
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| Lecture Dates (subject to
change) and
Exam Dates (not subject to change) 01/06-01/10: Introduction
01/13-01/17: Flow on 1D 01/22-01/24: Bifurcations (Note: Jan. 20–Martin Luther King, Jr. Day) 01/27-02/31: 2D flows/Liner Systems/Linearization 02/03-02/07: Phase Plane 02/10-02/12: Review 02/14: Midterm Exam 02/19-02/24: Limit Cycles and Bifurcations (Note: Feb. 17–Presidents’ Day) 02/26-03/03: Describing Functions 03/05-03/10: Chaos and Fractals 03/12-03/17: Selected topics/Review 03/20: Final Exam (submission by 5pm) PLEASE BRING YOUR STUDENT ID TO EVERY EXAM. |
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Your
final grade will be based
on your homework (25%), one midterm exam (30%), the final exam (40%)
and attendance above 70% (5%). The final exam consists of a take-home
exam
(20%) and project (20%) for graduate students and a take-home exam for
undergraduate students (40%). Please bear in mind that your grade will
be
heavily based on the quality and completeness of your problem
solutions, and
not only on their correctness. Also note that your exam scores are not `curved' and I don't assign letter grades to exams. I use the raw scores to compute your overall score in the class (which is also not `curved'), and only then do I assign letter grades. Your letter grade is determined by your overall score according to the following (approximate) ranges:
There are small variations in these ranges from time to time (up to 1% in either direction), and intangible factors like improvement throughout the quarter can help in borderline cases. |
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Instructor:
Dr.-Ing.
Dejan Milutinović |
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