Department of Mathematics
Stony Brook University
office: Math Tower 4-110
phone: (631) 632-8269
e-mail: michael.anderson@stonybrook.edu
| Date | Topic | Section | Assignments | Due date |
| Jan 29 | Periodic functions and Fourier series | 1.1 | 1.1: 1abc, 2ad, 7b, 8 |
Due Feb 5 |
| Jan 31 | Even & odd extensions, Fourier sine & cosine series. | 1.2 | 1.2: 1ab, 7ab, 10bc, 11bc | |
| Feb 5 | Convergence of Fourier Series | 1.3 | 1.3: 1abd, 2ad, 5, 6 |
Due Feb 12 |
| Feb 7 | Uniform convergence, Operations on Fourier Series | 1.4, 1.5 | 1.4: 1aef, 2, 3d, 4, 5bc | |
| Feb 12 | Operations on Fourier Series. Fourier Integral | 1.5, 1.9 | 1.5: 2, 5, 7, 8 |
Due Feb 19 |
| Feb 14 | Heat Equation | 2.1 | 2.1: 2 , 2.2:1 | |
| Feb 19 | Fixed end temperatures | 2.3 | 2.2: 6b, 7, 2.3: 6, 7, 8 | Due Feb 26 |
| Feb 21 | Insulated bar | 2.4 | 2.4: 4, 5 | |
| Feb 26 | Convection | 2.6 | 2.6: 3, 7. | Do NOT hand in. One problem on Midterm. |
| Feb 28 | Sturm-Liouville Problems | 2.7 | 2.7: 3a, 3d, 5a, 11. | |
| Mar 5 | Review | --- | -- | |
| Mar 7 | Midterm I | In Class | Covers 1.1 - 1.5, 2.1 - 2.7. | |
| Mar 12 | Midterm Discussion | --- | -- | |
| Mar 15 | Semi-infinite and infinite rod | 2.10 & 2.11 | -- | |
| Mar 19 | Spring Break | --- | -- | |
| Mar 21 | Spring Break | -- | -- | |
| Mar 26 | Wave equation | 3.2 | 3.2: 1, 2, 3, 4, 5, 9. | Due Apr 2 |
| Mar 28 | D'Alembert solution | 3.3 | ||
| Apr 2 | D'Alembert solution | 3.3 | 3.3: 1, 2, 5. | Due Apr 9 |
| Apr 4 | Potential equation | 4.1 | 4.1: 1, 8, 9cd, 10. | |
| Apr 9 | Potential equation in rectangle | 4.2 | 4.2: 5, 6. | Do NOT hand in. One problem on Midterm |
| Apr 11 | Potential equation in disc | 4.5 | 4.5: 3, 6, 7, 9. | |
| Apr 16 | Midterm Review | -- | -- | -- |
| Apr 18 | Midterm II | -- | -- | |
| Apr 23 | 2-d heat equation in rectangle | 5.3 | 5.3: 5, 6, 10 | Due Apr 30 |
| Apr 25 | 2-d equations in polar coords | 5.4 | 5.4: 1, 3 | |
| Apr 30 | Heat and wave equations in polar coords | 5.4, 5.5 | 5.4: 5, 7. | Due May 7 |
| May 2 | More heat and wave equations | 5.6, 5.7, 5.9 | 5.6: 3 | |
| May 7 | Legendre Polynomials and applications | 5.9, 5.10 | --- | |
| May 9 | Class review | --- | --- | |