University of Illinois at 
Urbana-Champaign

Math 489. Differential Equations II
Section C13
Spring 2009

Instructor: Zoi Rapti
Office: 323 Illini Hall
Phone: (217) 333-6625
Email: zrapti@illinois.edu
Mail Box: 250 Altgeld Hall
Instructor's Office Hours: M 11:00 AM-12:00 PM, W 11:00 AM-12:00 PM.

Section C13 meets: MWF 10:00-10:50 in 148 Henry Administration Building.

Textbook
M. W. Hirsch, S. Smale and R.L Devaney, Differential Equations, Dynamical Systems & An Introduction to Chaos, 2nd Edition, Elsevier Academic Press, 2004.

Lecture Coverage
Chapter 1: First Order Equations
Chapter 2: Planar Linear Systems
Chapter 3: Phase Portraits for Planar Systems
Chapter 4: Classification of Planar Systems
Chapter 5: Higher Dimensional Linear Algebra
Chapter 6: Higher Dimensional Linear Systems
Chapter 7: Nonlinear Systems
Chapter 8: Equillibria in Nonlinear Systems
Chapter 9: Global Nonlinear Techniques
Chapter 10: Closed Orbits and Limit Sets
Chapter 11: Applications in Biology
Chapter 12: Applications in Circuit Theory
Chapter 14: The Lorenz System

Homework
Homework will be assigned every Friday due the following Friday. You should submit your homeowork in class. However, if you miss a class, but want to hand in your homework, you must put it in my mailbox by 2:00 PM on the due day. At the end of the semester, your two lowest homework scores will be dropped. The first assignment will be announced on January 30.

Assignments
HW1 for C13
HW2 for C13
HW3 for C13
HW4 for C13
HW5 for C13
HW6 for C13
HW7 for C13

Make-Up Policy
Make-up exams will be given ONLY if you are excused for a university related activity (e.g. university sporting event, marching band trip, a required field trip in a course), or your absence is approved by the Emergency Dean (in case of an illness, personal or family emergency).

Grading Policy
Your grade will be based on homework, three hour exams and the final exam. Your work should be readable and organized. All work must be shown -- a bare answer is not enough.
Homework
Hour Exams
Final Exam
20%
45% (15% each)
35%

Exams
There will be 3 hour exams and a final exam.
Hour Exam 1: Wednesday, February 18, 10:00-10:50 AM in 148 HAB
Hour Exam 2: Wednesday, March 18, 10:00-10:50 AM in 148 HAB.
Hour Exam 3: Wednesday, April 22, 10:00-10:50 AM in 148 HAB.
Final Exam: Monday, May 11, 8:00-11:00 AM in 148 HAB.

Scores
to check your scores click here and then select 'Score reports'.

Other Announcements
HW1 for C14
HW2 for C14
Review for exam 1: Sunday, February 15 from 2:30 to 4:00 PM in 243 Altgeld Hall.
HW3 for C14
HW4 for C14
HW5 for C14
Review for exam 2: Sunday, March 15 from 2:30 to 4:00 PM in 243 Altgeld Hall.
HW6 for C14
Review for exam 3: Monday, April 20 from 5:00 to 6:00 PM in 147 Altgeld Hall.
Make-up class: Wednesday, April 29 from 5:00 to 6:00 PM in 147 Altgeld Hall.
HW7 for C14
Review for final exam: Thursday, May 7 from 12:00 to 1:30 PM in 141 Altgeld Hall.