Reading, assignments, and due dates for assignments are listed below.
Throughout, AWH refers to Arfken, Weber, and Harris, Mathematical methods for physicists, seventh edition (copyright Elsevier, 2013). ISBN: 978-0-12-384654-9. Amazon link
There will be 2 take home tests. For everything else, you are encouraged to work in groups, but for the take-home tests, you should work by yourselves.
Homework solutions should be emailed to me. I will return them with comments over email, along with solutions.
| Assignment | Due Date | Reading | Problems |
|---|---|---|---|
| 1 | Fri May 30 | AWH sections 1.1, 12.5, 13.1, 13.2 | These problems, plus AWH 1.1.5, 1.1.6, 12.5.3, 12.5.6, 13.1.4, 13.1.5, 13.1.16, 13.1.18, 13.2.8, 13.2.14 |
| 2 | Fri June 6 | This analytic continuation handout, plus AWH 12.1, 13.3, 13.6, 14.1 | All problems on the analytic continuation handout, plus AWH 13.3.1(a), 13.3.10, 13.6.1(a), 13.6.3(a), 13.6.9, 14.1.2, 14.1.7, 14.1.9 |
| 3 | Fri June 13 | AWH 12.6, 14.2, 14.3, 14.7 | AWH 14.1.12, 14.2.7, 12.6.5, 14.3.1, 14.3.4, plus this problem |
| 4 | Fri June 20 | AWH 12.2, 12.3, 12.6, 12.7, 14.6, 15.1-15.3, plus appendix D of my notes on asymptotic series expansions | These problems, plus AWH 12.3.1(a), 14.6.11, 13.4.6, 15.3.3, 15.1.8, 15.2.3, 15.2.7, 15.1.14, plus appendix D of my notes problems 1-2, 4, 6. |
| 5 | Fri June 27 | AWH 15.4, 18.1-18.6 | These problems, plus 15.4.3, 15.4.14, 15.4.20, 18.2.1, 18.2.3, 18.3.2, 18.5.3(ab), 18.5.8, 18.6.10(a), 18.6.11 |
| 6 | Thurs July 3 | Double series summation problems, Riemann surfaces | All problems on both handouts |
| T | Fri July 11 | Take home test 1 | |
| 7 | Fri July 18 | AWH 18.8, 19.1 handouts on Gegenbauer polynomials, Elliptic functions | 18.8.1, 18.8.2, 18.8.4 (two typos in text: last term in denominator of integrand should be + not -, plus an overall sign on second expression), 18.8.6(a), 19.1.2, 19.1.3, and all problems on the two handouts |
| 8 | Fri July 25 | AWH 19.2-19.3, 20.1-20.6; also read appendix C of my lecture notes (note that my conventions differ slightly from AWH) | 19.1.6, 19.2.13(a,b), 19.1.13(a,b), 19.2.17(a), 20.6.1, these problems, 11.7.12(a), 11.8.12(a), 20.3.2(a) (show for 1d analogue instead of 3d) |
| 9 | Fri Aug 1 | AWH 20.7-20.8 | 20.2.10(a,b) (typo in b: x2-a2 not x2+a2), 20.3.6, 20.4.5, these problems, 20.7.4(a), 20.7.5(a), 20.7.6(a), 20.8.11, 20.8.16 |
| 10 | Fri Aug 8 | AWH 20.9-20.10, 21.1-21.3 | 20.9.2, 20.10.4(b), 20.10.13(c), 21.1.1(a), 21.2.2(a), 21.2.5, 21.3.1(a), 21.2.11 |
| T | Fri Aug 15 | Take home test 2 |