Assignment #1 - due Friday, September 1 at the beginning of class
Homework #1
Supplement - print out this review sheet and do the problems (to turn in)
Section 1.1, exercises 9, 13,19,24, 32, 34
Section 1.2, exercises 3, 6, 18 (note Eq.(11) does not apply here)
Assignment #2 - due Fri. Sept. 8 at the beginning of class
Iode Project #1
Section 1.3, exercise 27
Section 1.4, exercises 8, 16, 17, 28, 35, 46
Iode Tips:
1. You can use Iode and matlab in any of the EWS labs. See www.ews.uiuc.edu for a listing. You can
connect to the EWS labs remotely using ssh. You can also use Iode anywhere
that has matlab and internet access - you may need to download Iode again from
the webpage www.math.uiuc.edu/iode
.
2. When you go to use Iode again - first change directory to my_iode (or whatever directory name you
used) by typing cd my_iode if using
Unix or Linux. Then start matlab. Then type iode in matlab.
Assignment #3 - due Fri. Sept. 15 at the beginning of
class
Section 1.5, exercises 12, 22, 25, 34
Section 1.6, exercises 1, 7, 18, 21, 23, 29, 33, 48, 49
Section 2.2, exercises (none for this week from 2.2)
Assignment #4 – due Fri. Sept. 22 at the beginning of class
Iode Project II
Section 2.2, exercises 4, 8, 19
Section 2.4, exercise 5
Assignment #5 –
due Fri. Sept. 29 at the beginning of class
Section 3.1, exercises 1, 3, 10, 17, 18, 19, 24, 25, 27, 29
Know how to prove Theorem 1
from 3.1, Theorem 1 from 3.2 (nothing to turn in for theorems).
Notes:
a. For #24 and #25, please
use the definition of linear independence on p. 149, not the Wronskian.
b. Some of these questions are more theoretical than what you’ve done in
the past. Start early so you’ll have time to ask questions before Friday
if needed.
Assignment #6
– due Wed. Oct. 11 at the beginning of class
Section 3.2, exercises 1, 4,
21, 27, 29 (just for n=2)
Section 3.3, exercises 3, 9,
21, 25, 39
Assignment #7 –due Fri. Oct. 20 at the beginning of class
Section 3.4, exercises 1, 3, 4,
16, 17, 18
Section 3.5, exercises 3, 10,
14, 19, 22, 31, 35, 47, 51
Assignment #8
– due Fri. Oct. 27 at the beginning of class
Section 3.6: 2, 7, 11, 15, 18, and problem (A): consider the setting of problem 1 from 3.4, but now add a forcing function of the form 5cos(at), where "a" is a constant. For what value of "a" does pure resonance occur? Draw a graph of the position function in this case. What happens when "a" is near the frequency of pure resonance but not quite at it (just explain informally in few sentences).
and
Section 3.8: 1, 13, 16
Assignment #9 – due Fri. Nov. 3 at the beginning of class
Section 9.1, exercises 12,
16, 31 (for 31, you can use equations (10) and (11) from page 574)
Section 9.2, exercises 8, 13
Assignment #10 – due Fri. Nov.
17 at the beginning of class
Iode Project IV
(write up and turn in as part of the assignment)
Section 9.3, exercises 2, 11, 15
Section 9.4, exercises 2, 10
Assignment #11 – due Mon. Dec. 4 at the beginning of class
Section 9.5, exercises 1, 3, 13
Section 9.6, exercises 1, 11