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.)
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., SpringerVerlag, 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) 5346932. Email: bli@math.ucsd.edu. Office hours: 2:00 pm  2:45 pm, Mondays and Wedensdays. 
Discussion Session  4:00 pm  4:50 pm, Tuesdays, AP&M 5402. 
Teaching Assistant 
Mr. Pun Wai Tong.
Office: AP&M 6432. Email: p1tong@ucsd.edu.
Office hours: 11:00  12:00, Fridays. 
Homework 
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.

Exams 
There will be one midterm and one final, closebook and closenote 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 makeup 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. 