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. |
Textbook | S. H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books Publishing, LLC, 1994. (Note: We will cover parts of Chapters 7 - 12.) |
Syllabus | Click here to see the schedule of lectures and topics. |
Lectures | 9:00 am - 9:50 am, Mondays, Wednesdays, and Fridays, AP&M 2301. |
Instructor | Professor Bo Li. Office: AP&M 5723. Phone: (805) 534-6932. Email: bli@math.ucsd.edu. Office hours: 2:00pm - 2:30 pm, Mondays and Wedensdays. |
Discussion Session | 10:00 am - 10:50 am, Thursdays, AP&M 5402. |
Teaching Assistant | Mr. Michael White. Office: AP&M 5712. Office hours: 12:30 - 2:00. |
Homework |
Homework will be assigned, collected, and partially graded regularly.
Each homework is due in Friday's class.
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.
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Exams |
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: 9:00 am - 9:50 am, Friday, May 3, AP&M 2301. Final Exam: 8:00 am - 10:59 am, Wednesday, June 12. Place: to be announced. 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. |