Just do the assigned problems.
"Review Problems"
are suggested problems for the TA to do in office hours. Sorry
for any confusion
| Week | Problem set | Problems (Unless noted, all problems are from Haberman 3rd Ed.) |
|---|---|---|
| 1 | 1 | 1.2.4, 1.4.1e, 1.4.2, 1.4.7b (Review 1.3.2, 1.4.1g,1.4.7a) |
| 2 | 2 | 2.2.3, 2.3.1a,c, 2.3.2a,c,e,f (Review 2.3.2e,g) |
| 3 | 3 | 2.3.6, 2.3.7, 2.3.11 also show the orthogonality of sin(n*Pi*x/L)cos(m*Pi*x/L) over -L<=x<=L for all n,m |
| 4 | 4 | 1.5.3, 2.5.6b, 2.5.10, 2.5.15c NOTE: this problem set has been slightly re-arranged, problems in chapter 3 have been moved to Prob. Set 5. problem 2.5.15c is now required. Due Feb 15. |
| 5 | 5 | 3.3.1c, 3.3.2a, 3.3.18, 3.4.4 (Review 3.4.6, 3.4.12) |
| 6 | 6 | 4.2.1, 4.4.1, 4.4.3, 4.4.7 |
| 7 | 7 | Sorry for the delay: these went up Wednesday morning 1 March@9am: 3.4.11 (page 122...good practice), 5.3.9 (a new twist: hint the substitution x=exp(y) will be handy), 5.4.4 (more practice...if you can't do the final integrals, just set the problem up), 5.5.1c,d. |
| 9 | 8 | 7.3.1c 7.3.4a, 7.3.6 (Review 7.3.1d,7.5.7) |
| 10 | 9 | 7.8.1a-e (Lot's-o-hints: a,c,e think Rayleigh quotient d frankly I don't know where he get's his answer from. You can do better using the asymptotic approximations for large z and sketching tan(z+pi/4) against tan(2*z+pi/4)...here's a picture, by this method I get (3pi/8)^2<=lambda1<=(7pi/8)^2 which works better. Explain how I got this. f this is extra credit but look at this matlab script, 7.9.1a,b, 7.9.4b (Hint: you might want to know that d/dz J_0(z)=-J_1(z)), 7.9.5 (Hint: see section 7.10) |
| 11 | 10 | Here we go: Put up on 6 Apr. 8.2.1a,d,e, 8.2.2a,b and either 8.2.4 or 8.2.5 ( Review...do the other one) |
| 12 | 11 | 12 Apr. 8.3.2, 8.3.3 (Hint #2: just assume c(x)\rho(x)=\sigma(x)), 8.3.7, 8.4.3. |
| 13 | 12 | Just a few Green's function problems 22 Apr: Apologies for the late posting, this one is due with problem set 13 (but if you can finish it by 27 Apr, that would be great) 9.3.5, 9.3.11 and derive the 2-D infinite-space Green's function for Poisson's equation |
| 14 | 13 | 25 Apr: THE END Just a few characteristics problems for you. 12.2.4 (but look at 12.2.2 and 12.2.3 for some more specific problems to give you some idea). 12.2.5b,c, 12.6.6a (note a typo in this problem, I believe that u(rho) should be c(rho)). 12.6.7 and 12.6.19 (these are the same problem but with different initial conditions). hint: for the last 3 problems it is useful to sketch both the characteristics and rho vs x to visualize what is happening. (Review: 12.3.6, 12.6.9a, 12.6.19d) |
| Addendum: 2 May 2000: | ||
| Just hand in whatever you have for the last problem sets to Mike and start studying for your finals. Anything done on the last problem set will be extra credit. | ||
| Study Guide and Review coming shortly... | ||