|Course Description||Existence and uniqueness of solutions to differential equations. Local and global theorems of continuity and differentiabillity. Phase portraits. Limit cycles. Bifurcation. Lorenz equations. Fractals. Strange attractors.|
|Prerequisites||Math 130A or consent of instructor.|
S. H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books Publishing, LLC, 1994.
(Note: We will cover parts of Chapters 7 - 12.)
Other main references:
M. W. Hirsch, S. Smale, and R. L Devaney, Differential Equations, Dynamical Systems & An Introduction to Chaos, 2nd ed., Elsevier, 2004.
L. Perko, Differential Equations and Dynamical Systems, 3rd ed., Springer-Verlag, 2001.
|Syllabus||Click here to see the schedule of lectures and topics.|
|Lectures||1:00 pm - 1:50 pm, Mondays, Wednesdays, and Fridays, AP&M B412.|
|Instructor||Professor Bo Li. Office: AP&M 5723. Phone: (805) 534-6932. Email: email@example.com. Office hours: 2:00 pm - 2:45 pm, Mondays and Wedensdays.|
|Discussion Session||4:00 pm - 4:50 pm, Tuesdays, AP&M 5402.|
Mr. Pun Wai Tong.
Office: AP&M 6432. Email: firstname.lastname@example.org.
Office hours: 11:00 - 12:00, Fridays.
Homework will be assigned, collected, and partially graded regularly.
Each homework is due in homework dropbox located in AP&M basement
by 4:00 pm, Friday. One homework assignment with the lowest score will be dropped.
Note: no late homework will be accepted unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided.
There will be one midterm and one final, close-book and close-note exams.
No calculators will be allowed in these exams. The final exam will be cumulative.
Midterm Exam: 1:00 pm - 1:50 pm, Friday, 5/1, AP&M B412.
Final Exam: 11:30 am - 2:29 pm, Thursday, June 11, 2015, AP&M B412.
Note: neither rescheduled nor make-up exams will be allowed unless a written verification of a valid excuse (such as hospitalization, family emergency, religious observance, court appearance, etc.) is provided.
|Grading||The final course grade will be determined based on the homework and exams with the weights: class participation 5%, homework - 20%, midterm exam - 30%, and the final exam - 45%. The grades will be curved.|