When is the final exam? Friday 8-11am
Where is the final exam?
If your family name begins with A-M go to APM B402A.
If your family name begins with N-Z go to WLH 2111.
What topics are on the final exam?
1. Phase lines and phase portraits.
2. Writing a second order equation as a first order system.
3. Solving any 2x2 linear system, determining the type and the long time
behavior.
4. Solving any 3x3 linear system, determiing the long time behavior.
5. Taking a 2 or 3 dimensional non-linear system, determining the
equilibrium points, finding the linearization close to the equilibrium
point, solving the linearized equation and determining whether the
non-linear system is conjugate to the linear one close to the equilibrium point,
and using this to deduce the behavior of the non-linear system if possible.
Instructor:  
Kate Okikiolu
    okikiolu@math.ucsd.edu
Lectures: MWF 10-10:50am, WLH 2111
Office Hours: W 1-2pm in APM 7426 (There will be an office hour 3/18/09.)
Teaching Assistant: Christopher Tiee
    ctiee@math.ucsd.edu
   
Section: W 5pm, 6pm, in HSS 2150.
TA Office Hours: M 2-4pm and Tu 12-2pm in APM 6434.
   Exam week office hour is
Wednesday March 18, 5-7pm.
Homework:
The solutions are thanks to your TA Chris Tiee.
| wk | Due Wednesday | Homework Assignment |
| 1 | 1/7 | Chapter 1.   # 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13. |
| 2 | 1/21 | Chapter 2.   # 2, 3, 4, 6, 7, 8, 9, 11, 12, 14. |
| 3 | 1/28 | Chapter 3.   # 1, 2, 3, 4, 5, 7, 9, 10, 14, 16. |
| 4 | 2/4 | Chapter 4.   # 1, 2, 3, 4, 5, 6. |
| 5 | 2/11 | Chapter 5.   # 3, 4, 5, 6, 8, 9.   Chapter 6.   # 1. |
| 6 | 2/18 | Problems   |
| 7 | 2/25 | Chapter 5.   # 10.   Chapter 6.   # 2, 3, 4, 5, 6, 7, 8, 9, 10. |
| 8 | 3/4 | Chapter 5.   # 15.   Chapter 6.   # 11, 12, 13, 15.    H1 |
| 9 | 3/11 | Chapter 7.   # 1, 5, 6.   Chapter 8.   # 1, 2. |
Approximate Lecture Schedule (may be updated during the course):
The day after each lecture,
I might write a lecture summary which can be obtained
by clicking the relevant section number.
| wk | date | Monday | Wednesday | Friday |
| 1 | 1/5 | First order equations | Phase Line | Bifurcation |
| 2 | 1/12 | Poincare map | Periodic harvesting | Linear systems |
| 3 | 1/19 | Holiday | 2.5-2.7 | linear algebra |
| 4 | 1/26 | phase portraits | Examples | Exam |
| 5 | 2/2 | 3-d systems | ||
| 6 | 2/9 | 3-d systems | 4.2 | |
| 7 | 2/16 | Holiday | ||
| 8 | 2/23 | 3x3 systems | Exam | |
| 9 | 3/2 | |||
| 10 | 3/9 | |||
| 11 | 3/17 | Final 8-11am |