Fall  2011

Note: Homework is due by 5:00 p.m. on the due date. Late homework
is not accepted.

Important:    The numbers of homework problems listed are in the 9th edition of the book

The problems in parenthesis are in the 8th edition. If there are no problems in parenthesis -

the numbers are the same in 8th and 9th editions.

 Number Due Date Section Numbers Problem Numbers 1. Sep 7 Section 1.2   Section 1.3 5f, 13c, 15c 6c, 7b 2. Sep. 14 Section  2.1  Section  2.2 3c, 5b, 10b, 14  7, 11f 3. Sep 21 Section  2.3 Section 2.4 6c, 8 and 10 with 6c, 29 c,d6a,9a 4. Sep 28 Section 3.1 2a, 4 with 2a, 5a,13d(19d) 5. Oct 5 Section 3.3 (3.2) Section 3.4 (3.3) 3b, 5b, 9a,b,12, 16, 17  1c,3c 6. Oct. 12 no hmwk this week 7. Oct 19 Section 3.5 (3.4) Section 4.1 2,12,131b, 3b, 5a, 7a 8. Oct. 26 Section 4.3 Section 4.4 1d, 5 and 9 with 1d, 188 a,b, 9, 11a 9. Nov. 2 Section 4.7  Section 8.1 2 with 1h, 5 5 a,d,e 10. Nov. 9 Section 5.1 Section 5.2 Section 5.3 3a 5a, 7a, 10c 5a, 6b, 7 with 5a 11. Nov. 16 no hmwk this week 12. Dec. 2 Section 6.1  Section 6.2 Section 6.5 3a, 5d,10   9b,13 (with 9b), 17 (with 9b)  3d, 6a 9c 13.

Section 2.1:  Problem 6: The Bisection Method gives p10=1.0068, accurate within 0.001.
Problem 12: n>= 12, p12=1.3787
Section 2.3: Problem 6c: p0=2 gives p4=2.370687; p0=4 gives p4=3.722113
Problem 8(with 6c):  (i) p0=2, p1=3 gives p6=2.370687; p0=3, p1=4 gives p7=3.722113
Section 2.4: Problem 4a: alpha=1, lambda=1, linear convergence.
Section 3.2: Problem 8: The second forward-difference of P at 10 is 1140.
Section 3.3: Problem 2c: H3(-1/3) = 0.1745185 (approximation), f(-1/3) = 0.17451852 (exact).
Section 3.4: Problem 2: s(x)=x  on [0,2].
Problem 8: a=4, b=4, c=-1, d=1/3.
Section 4.1: Problem 2b:    x    Actual Error   Error Bound
0.0   0.293            0.3
0.2   0.2694          0.2779
0.4   0.2602          0.2779
Section 4.3: Problem 12: c0=1/3, c1=4/3, c2=1/3
Section 4.4: Problem 4: a) 0.421582; b) 0.4227162; c) 0.4249845
Section 4.7: Problem 2h: 0.6427011
Section 5.2: Problem 4a:    t       Actual error
1.2     0.0066879
1.5     0.0095942
1.7     0.0102229
2.0     0.0105806
Problem 6c: h<0.029
Section 5.4: Problem 2c:    ti          wi
1.25      2.7767857
1.5       3.6042017
1.75      4.4736520
2.00      5.3790494
Section 6.1: Problem 2a: x1=1, x2=-0.98, x3= 2.9;
Problem 6: a) alpha=1, b) alpha=-1, c) x1=-1/(1-alpha), x2=1, x3= 1/(1-alpha)
Section 6.3: Problem 2b: 1,1,1
Section 6.4: Problem 6: alpha=6
Section 6.6: Problem 10: alpha>8/7