| Assignment | Chapter/Section | Due date |
| 1 | 1.1: 3,7,8*,10,11; 1.2: 1,3,6*,8,10* | Thursday, Jan 27 |
| 2 | 1.3: 5,6*,9; 1.4: 1,2,4*,6; 1.5: 1,2,3* | Thursday, Feb 3 |
| 3 | 1.6: 2,4*,5; 2.1: 1,5*,6; 2.2: 1,2*,3,5 | Thursday, Feb 10 |
| 4 | 2.3: 4,5,6*; 2.4: 1,2*,15,16; 2.5: 1,2* | Thursday, Feb 17 |
| 5 | 4.1: 2,3,4*; 4.2: 1,2*,3*,4 | Thursday, March 3 |
| 6 | 5.1: 2,5,8*,9; 5.2: 1,4*,7*,11 | Thursday, March 10 |
| 7 | 5.3: 2,3*,6,9*,11a,13* | Thursday, March 24 |
| 8 | 5.4: 2*,7,8; 5.6: 1,8*,9* | Thursday, March 31 |
| 9 | 6.1 2,4,5*,8*,9; 6.2: 3,4*,6,7 | Thursday, April 14 |
| 10 | 6.3 1,2,3*; 7.1: 2,5,7,8,9* | Thursday, April 21 |
| 11 | 8.1 3; 8.2: 1,2*,3,9,11* | Thursday, April 28 |
Hint for problem 1.4.4: Integrate the differential equation between 0 and x to get a formula for u'(x) in terms of u'(0) and the integral of f. Then integrate again to get a formula for u(x). By evaluating this second formula at x=l, you can find an expression for u'(0), so this term may then be eliminated. In the integrations described above, you will need to do the cases when x in (0,l/2) and x \in (l/2,l) separately.
Hint for problem 2.1.5:
Consider the following 6 cases (1) x-ct < x+ct < -a, (2) x-ct < -a <
x+ct < a,
(3) x-ct < -a < a < x+ct, (4) -a < x-ct < x+ct < a,
(5) -a < x-ct < a < x+ct, (6) -a < a < x-ct < x+ct.
Hint for problem 7.1.9: Use Green's identity to write (grad w_i, grad w_j) = -([w_i]_{xx} +[w_i]_{yy}, w_j) for i = 1 or 2. Use Maple to compute the integrals.
Hint for problem 8.1.3: Use the points x + Delta x, x - Delta x, x + 2 Delta x, and x - 2 Delta x.
Solutions to the problems that you are asked to hand in will be posted to the Sakai course web page.
last revised 4/13/2011