| Lecture | Date | Topic
|
| 1 | Th 1/27 | Introduction to PDE's
|
| 2 | Tu 2/1 | Review of ODE's
|
| 3 | Th 2/3 | Review of ODE's
|
| 4 | Tu 2/8 | Introduction to Fourier series
|
| 5 | Th 2/10 | Fourier series of periodic functions
|
| 6 | Tu 2/15 | Half-range expansions
|
| 7 | Th 2/17 | Convergence questions, Gibbs phenomenon
|
| 8 | Tu 2/22 | Operations on Fourier series
|
| 9 | Th 2/24 | 1-dim'l heat equation: Introduction
|
| 10 | Tu 3/1 | 1-dim'l heat equation: Fixed end temperatures
|
| 11 | Th 3/3 | 1-dim'l heat equation: Insulated bars
|
| *** | Tu 3/8 | cancelled
|
| 12 | Th 3/10 | 1-dim'l heat equation: Mixed boundary conditions
|
| 13 | Tu 3/15 | 1-dim'l wave equation: Introduction
|
| 14 | Th 3/17 | 1-dim'l wave equation: The vibrating string problem
|
| 15 | Tu 3/22 | 1-dim'l wave equation: D'Alembert's solution
|
| *** | Th 3/31 | Midterm exam
|
| 16 | Tu 4/5 | Laplace equation: Generalities
|
| 17 | Th 4/7 | Laplace equation in a rectangle
|
| 18 | Tu 4/12 | Laplace equation in a disk
|
| 19 | Th 4/14 | Poisson Integral Formula; basic properties of harmonic functions
|
| *** | Tu 4/19 | cancelled
|
| 20 | Th 4/21 | Fourier integrals: Introduction
|
| 21 | Tu 5/3 | Applications of Fourier integrals
|
| 22 | Th 5/5 | (Complex) Fourier transform
|
| 23 | Tu 5/10 | Properties of Fourier transform
|
| 24 | Th 5/12 | Applications of Fourier transform in heat and wave equations
|
| 25 | Tu 5/17 | Bounded harmonic functions in the upper half-plane
|