| Lecture | Date | Topic
|
| 1 | Tue 1/30 | Introduction to PDE's,
Review of ODE's
|
| 2 | Thu 2/1 | Review of ODE's
|
| 3 | Tue 2/6 | Introduction to Fourier
series
|
| 4 | Thu 2/8 | Fourier series of
periodic functions
|
| 5 | Tue 2/13 | Half-range expansions
|
| - | Thu 2/15 | No class
(Monday schedule)
|
| 6 | Tue 2/20 | Convergence questions,
Gibbs phenomenon
|
| 7 | Thu 2/22 | Operations on Fourier
series
|
| 8 | Tue 2/27 | 1-dimensional heat
equation: Introduction
|
| 9 | Thu 3/1 | 1-dimensional heat
equation: Fixed end temperatures
|
| 10 | Tue 3/6 | 1-dimensional heat
equation: Insulated bars
|
| 11 | Thu 3/8 | 1-dimensional heat
equation: Mixed boundary conditions
|
| 12 | Tue 3/13 | 1-dimensional wave
equation: Introduction
|
| 13 | Thu 3/15 | 1-dimensional wave
equation: The vibrating string problem
|
| 14 | Tue 3/20 | 1-dimensional wave
equation: The D'Alembert solution
|
| - | Thu 3/22 | Midterm exam
|
| 15 | Tue 3/27 | Laplace equation:
Generalities
|
| 16 | Thu 3/29 | Laplace equation in
a rectangle
|
| - | Tue 4/3 | No class (Spring recess)
|
| - | Thu 4/5 | No class (Spring recess)
|
| - | Tue 4/10 | No class (Spring recess)
|
| 17 | Thu 4/12 | Laplace equation in a
disk
|
| 18 | Tue 4/17 | Poisson
integral formula, harmonic functions
|
| 19 | Thu 4/19 | More on harmonic
functions
|
| 20 | Tue 4/24 | Fourier integrals:
Introduction
|
| 21 | Thu 4/26 | Applications of Fourier
integrals
|
| 22 | Tue 5/1 | (Complex) Fourier
transform
|
| 23 | Thu 5/3 | Properties of Fourier
transform
|
| 24 | Tue 5/8 | Applications of Fourier
transform: Heat and wave equations
|
| 25 | Thu 5/10 | Application of Fourier
transform: Laplace equation in a half-plane
|
| 26 | Tue 5/15 | Review
|
| 27 | Thu 5/17 | Review
|