M427K Spring 2006 Homework Page
Due Thursday, 1/26/06 in discussion section.
pg. 8 #14,22,23
pg. 16 #5,13,14,19
pg. 24 #6,8,14,19
Due Thursday, 2/2/06 in discussion section.
pg. 39 #16,19,38,39
pg. 47 #6,29,30abcde
pg. 75 #7,25,27
pg. 99 #3,9,21
pg. 108 #15,16 hand in a copy of your program and a plot of the solution.
Due Thursday, 2/9/06 in discussion section.
pg. 117 #2,13,14
pg. 142 #5,7,17,22
pg. 151 #5,12,19,28,29,33,36
Look at equations 5,6,7 on page 442.
Solve the ODE problem given by equations 5,6 using Euler's method up to t=1
with h=0.05,0.025,0.01,0.001. Plot the solution and the error as functions of
t.
The error is the numerical approximation gotten by using Euler's method minus
the exact solution given by equation 7 on page 442.
Note: In Matlab e^t can be coded as exp(t).
Due Thursday, 3/30/06 in discussion section.
pg. 329 #4,10,15,20
pg. 337 #6,12,16
pg. 344 #5,10,18,23
No hw due 4/6. Here are some problems to look at for the test from section 6.6.
pg. 351 #4,8,14,15,16
Due Thursday, 4/13/06 in discussion section.
pg. 383 #9,12,20,
pg. 389 #2,4,6
pg. 399 #12,19,20,25,27
Due Thursday, 4/20/06 in discussion section.
pg. 410 #9,14,28
pg. 420 #6,12,16,17
pg. 428 #8,15,19
Due Thursday, 4/27/06 in discussion section.
pg. 449 #3,21,23
pg. 456 #3,14
pg. 461 #3
Please hand in a copy of your code and plots of y versus t for the numerical solution problems.
Due Thursday, 5/4/06 in discussion section.
pg. 575 #10,16,
pg. 585 #10,14,16
pg. 592 #6,13
pg. 600 #15,31,32,33,34
Suggested problems to look at from 10.5,10.7,10.8.
Do not hand these in.
pg. 610 #11
pg. 632 #1
pg. 645 #1,2