Class web page  http://www.math.ucsd.edu/~bli/teaching/math130Aw15/ 
Course Description  Flows in one and two dimensions. Fixed points and stability. Phase portraits. Bifurcations. Poincare maps. Limit cycles. Existence and uniqueness of solutions to differential equations. Local and global theorems of continuity and differentiability. Applications: oscillators, predatorprey systems, etc. 
Prerequisites  Math 20D (Introduction to Differential Equations), and Math 20F (Linear Algebra) or Math 31AH (Honors Linear Algebra). 
Textbook 
S. H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books Publishing, LLC, 1994.
(We plan to cover Chapters 1  6.) 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. 
Lectures  1:00  1:50, Mondays, Wednesdays, and Fridays, CSB 001. 
Instructor 
Professor Bo Li. Office: AP&M 5723. Phone: (805) 5346932. Email: bli@math.ucsd.edu.
Office hours: 2:15 pm  3:00 pm, Mondays and Wednesdays. 
Discussion Sessions 
A01: 8:00 pm  8:50 pm, Thursdays, AP&M 5402.
A02: 9:00 pm  9:50 pm, Thursdays, AP&M 5402. 
Teaching Assistant 
Mr. Pun Wai Tong.
Office: AP&M 6432.
Email: p1tong@ucsd.edu.
Office hours: 5:00 pm  6:00 pm Thursdays and 11:00 am  12:00 noon Fridays. 
Homework 
Homework will be assigned, collected, and partially graded regularly.
Each homework is due in homework dropbox located in AP&M basement by 3:00 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 am, Friday, 2/6/2015, CSB 001. Final Exam: 11:30 am  2:29 pm, Friday, 3/20/2015, place to be determined. 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: homework  25%, midterm exam  30%, and the final exam  45%. The grades will be curved. 