Math 81: Partial Differential Equations Syllabus (Spring
2002)
| Date |
Topic |
| Jan. 21- Jan. 25 |
Introduction, background (Ch. 1) |
| Jan. 28 - Feb. 1 |
Types of equations (more Ch. 1), waves (Ch. 2) |
| Feb. 4 - Feb. 8 |
Waves and diffusions (more Ch. 2) |
| Feb. 11 - Feb. 15 |
More waves and diffusions (Ch. 2 still), boundary problems (Ch. 4) |
| Feb. 18 - Feb. 22 |
Fourier analysis (Ch. 5) |
| Feb. 25 - Mar. 1 |
More Fourier analysis (Ch. 5 + supp. material) |
| Mar. 4 - Mar. 8 |
More Fourier analysis, EXAM |
| Mar. 11 - Mar. 15 |
BREAK |
| Mar. 18 - Mar. 22 |
Laplace's equation (Ch. 6) |
| Mar. 25 - Mar. 29 |
Green's functions (Ch. 7) |
| Apr. 1 - Apr. 5 |
Numerical methods (Ch. 8), energy (Ch. 11) |
| Apr. 8 - Apr. 12 |
Distributions and transforms (Ch. 12) |
| Apr. 15 - Apr. 19 |
More distributions and transforms (still Ch. 12), calculus of variations
(Sec. 14.3), EXAM |
| Apr. 22 - Apr. 26 |
Mathematics and music (Ch. 10 + supp. material) |
| Apr. 29 - May 3 |
More mathematics and music (supp. material), review |