MATH 130B: Ordinary Differential Equations (II)
Spring quarter 2015

Midterm Review
Practice for Final Exam

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., 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: 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.
  • Homework assignment 1, due Friday, 4/3.
        Chapter 7. 1.3, 1.8, 2.2, 2.6(a), 2.8, 2.9(a).
  • Homework assignment 2, due Friday, 4/10.
        Chapter 7. 2.10, 3.3, 3.4, 3.7, 4.1.
  • Homework assignment 3, due Wednesday, 4/15.
        Chapter 7. 3.10, 5.3, 6.1, 6.2.
  • Homework assignment 4, due Wednesday, 4/22.
        Chapter 8. 1.3, 1.5, 1.7, 2.1, 2.8 (a,b,d), 3.1.
  • Homework assignment 5, due Wednesday, 4/29.
        Chapter 8. 4.1, 4.2, 5.3(a).
  • Homework assignment 6, due Wednesday, 5/6.
        Chapter 8. 7.1, 7.2, 7.9. Chapter 9. 2.1, 2.4.
  • Homework assignment 7, due Wednesday, 5/13.
        Chapter 9. 2.2 (optimal C not requested), 2.6, 3.8.
  • Homework assignment 8, due Wednesday, 5/20.
        Chapter 9. 4.2 (a,b,c). Chapter 10. 1.1, 1.10, 1.11, 2.2, 2.4.
  • Homework assignment 9, due Wednesday, 5/27.
        Chapter 10. 3.1, 3.2, 3.6 (a,b,c), 4.1, 4.3, 5.1.
  • Homework assignment 10, due Wednesday, 6/3.
        Chapter 11. 1.3, 2.3, 3.1, 4.1.
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: 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.
Last updated by Bo Li on March 23, 2015.