| Lecture | Date | Topic
|
| 1 | Tue 1/28 | Introductory remarks, Review of ODE's
|
| 2 | Thu 1/30 | Review of ODE's
|
| 3 | Tue 2/4 | First order linear PDE's
|
| 4 | Thu 2/6 | Introduction to Fourier series
|
| 5 | Tue 2/11 | Fourier series of periodic functions
|
| 6 | Thu 2/13 | Half-range expansions
|
| 7 | Tue 2/18 | Convergence questions, Gibbs phenomenon
|
| 8 | Thu 2/20 | Operations on Fourier series
|
| 9 | Tue 2/25 | 1-dimensional heat equation: Fixed end temperatures
|
| 10 | Thu 2/27 | 1-dimensional heat equation: Insulated bars
|
| 11 | Tue 3/3 | 1-dimensional heat equation: Mixed boundary conditions
|
| 12 | Thu 3/5 | 1-dimensional wave equation: Introduction
|
| 13 | Tue 3/10 | 1-dimensional wave equation: The vibrating string problem
|
| --- | Thu 3/12 | canceled
|
| --- | Tue 3/17 | canceled
|
| 14 | Thu 3/19 | 1-dimensional wave equation: The d'Alembert solution
|
| 15 | Tue 3/24 | Laplace's equation: Generalities and the case of a rectangle
|
| 16 | Thu 3/26 | Laplace's equation in a disk
|
| 17 | Tue 3/31 | Poisson's integral formula
|
| 18 | Thu 4/2 | More on harmonic functions
|
| --- | Tue 4/7 | No class
|
| --- | Thu 4/9 | No class
|
| --- | Tue 4/14 | No class
|
| --- | Thu 4/16 | No class
|
| 19 | Tue 4/21 | Fourier integrals: Introduction
|
| 20 | Thu 4/23 | Applications of Fourier integrals
|
| 21 | Tue 4/28 | Complex Fourier transform
|
| 22 | Thu 4/30 | Properties of Fourier transform
|
| 23 | Tue 5/5 | Applications of Fourier transform: Heat and wave equations
|
| 24 | Thu 5/7 | Applications of Fourier transform: Laplace's equation in a half-plane
|
| 25 | Tue 5/12 | Review
|
| 26 | Thu 5/14 | Review
|