UF MAD 4401 Homework

MAD 4401  Homework

Fall  2008
 

   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 8th edition of the book.
                     
 
 
 

Number	Due Date	Section Numbers	Problem Numbers
1.	Sep 10	Section 1.2   Section 1.3	5f, 13c, 15c  6c, 7b
2.	Sep  17	Section  2.1  Section  2.2	3c, 5b, 10b, 14  7, 11f
3.	Sep 24	Section  2.3	6c, 8 and 10 with 6c, 29 c,d
4.	Oct  1	Section 2.4  Section 3.1	6a, 9a 2a, 4 with 2a, 5a, 19d
5.	Oct 15	Section 3.2	3b, 5b, 9a,b,12, 16, 17
6.	Oct 29	Section 3.3  Section 3.4	1c, 3c  2, 12, 13
7.	Nov 5	Section 4.1  Section 4.3	1b, 3b, 5a, 7a 1d, 5 and 9 with 1d, 18
8.	Nov. 12	Section 4.4  Section 4.7	8 a,b, 9, 11a  2 with 1h, 5
9.	Nov. 19		no hmwk this week
10.	Dec. 1	Section 8.1	5 a, d, e
11.	Dec. 8		no hmwk this week
12.	Apr. 21	Section 5.3  Section 5.4	5a,  6b, 7 with 5a   1c, 9 with 1c
13.		Section 5.4	1c, 5, 9, 13 all with 1c

 

               Answers to Homework Problems
 

   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

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