# Homework Assignments

### Haberman, 4th edition

1. Wed. Sept. 8: 12.4.4, 12.3.6
2. Wed. Sept. 15: 2.3.1(b), 2.3.2(d), 2.3.3(a,c), 2.3.6
3. Wed. Sept. 22: 3.2.2(b,f), 3.3.1, 3.3.3(c), 3.3.14, 3.3.16
4. Fri. Oct. 1: 2.4.1(a,b), 2.4.2, 2.2.3, 2.5.1(a,d), 2.5.2
5. Wed. Oct. 6: 7.3.1(d), 7.3.4(b), 7.4.1(b,c), 10.2.2, 10.3.3, 10.3.6
6. Wed. Oct. 13: 10.3.5, 10.3.13, 10.4.8, 10.4.10 [Solve 10.4.10 by Fourier's method, not d'Alembert's; then show that your solution agrees with d'Alembert's solution by regrouping your formula into left-moving and right-moving terms.], 10.5.16, 10.6.13
7. Wed. Oct. 20: 9.3.5 [Omit 9.3.5(b); instead, insert 9.3.6(a) and use it to solve 9.3.5(c).], 10.4.3, 10.6.10, and these:
1. Fill in the details on p. 58 of the class notes:
1. Show that convolution is commutative: f1 * f2 = f2 * f1.
2. Prove the convolution formula for the inverse Fourier transform of a product ("Convolution Theorem").
2. Do the exercise on p. 65 of notes:
1. Solve the heat equation by separation of variables (or, equivalently, by Fourier-transforming the equation and initial condition).
2. Express the solution in terms of the Green function H(x-z).
3. Do the exercise on p. 59 of notes ("check that (*) is correct").