Prof. Anna Vainchtein
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| Friday, January. 18 | HW1: p.32, #5, 8, 14, 15, 18 |
| Friday, February 8 | HW2: Click here for this assignment |
| Friday, February 22 | HW3: Ch. 2: #12, 13, 14, 18, 22 and Ch. 3 #3, 5, 12, 15, 17 |
| Friday, March 7 | HW4: Ch. 4, #2, 3, 5, 8, 11 (in the last problem, just derive the equation for geodesics - don't need to show that a surface of revolution is a Liouville surface). |
| Friday, March 28 | HW5: Ch. 5, #7, 8, 10, 11, 12, 13 (explain!) |
| Friday, April 11 | HW6: Ch. 6, #1, 3, 5, 7, 8. Hint: In #1, to solve the Euler-Lagrange equation, use substitution x=exp(z); then you should obtain a linear ODE with const coefficients for y(z). |
| Monday, April 21 | HW7:
1) Ch. 7, #1, 2. 2) Use the Fourier method (separation of variables) to solve the problem of small vibrations of a string with free ends (ux vanishes at the ends). Your final answer should be in the form of a sum, each term of which contains two unknown constants, which could be determined from initial conditions. 3) Ch. 8, #2, 4, 5. |