All assignments are due in class on the date shown. On the first page of homework assignments, write a list of any assigned problems that you did not finish (it should be a short list). Show your work. I strongly encourage you to work in groups, but you must write up the results yourself.
By 9:00 on the morning of the seminar date (if there is one), email me a listing of:
- which problems you know how to do
- which problems you've made progress on, but haven't finished
- which problems you haven't made progress on.
| Date due | Assignment |
| Fri 1/17 | Math questionnaire |
| Mon 1/27 (seminar day Fri 1/24) | Experiment 3.6 (p. 25), for the doubling function D only (the Maple worksheet iterateDoublingMap.mw may be helpful, or Excel, or this applet) 3 (p.26) #1, 3, 5-10, 13, 14 4 (p.34) #1, 5, 6, 7 |
| Wed 2/5 (seminar day Mon 2/3) | 5 (p.50) #1(a,c,j,k), 2(a,b,d), 3, 4(a,b), 5, 6 Let cn be the red blood cell count at time n (measured in cells per microliter). If cn+1 = (1 − a)cn + b(cn)r e^(−scn) and b=1,100,000, r=8, and s=16, show that there are two stable and one unstable fixed points when a=0.2. How do you interpret this result in terms of the red blood cell count? |
| Fri 2/14 (seminar day Mon 2/10) |
6 (p.67) #1(a,b,e,f,j), 2-8, 10 |
| Wed 2/26 |
(You don't have to turn these in, but you're responsible for the material on the midterm.) 7 (p.80) #1-3, 16-18 8 (p.94) #4-6, 14 (this applet may be helpful, or you can try modifying the Maple worksheet bifurcationDiagram.mw.) |
| Fri 3/21 (seminar day Wed 3/19) |
9 (p.111) #1, 2, 7, 9, 12, 13, 18(a,i). Optional: 17. |
| Fri 4/4 (seminar day Wed 4/2) |
10 (p.130) #1-4, 6, 8, 15, 17. Optional: 20. 11 (p.151) #1, 2, 4. Optional: #9. |
| Mon 4/14 |
(You don't have to turn these in, but you're responsible for the material on the midterm.) 14 (p.199) #3, 11, 14, 15 13 (p.173) #1(abce), 2 |
| Mon 4/28 |
You don't have to turn these problems in, but you're responsible for the material on the final. |