Math 81: Partial Differential Equations Syllabus (Spring2002)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 |