MA 401 - Applied Differential Equations II
Fall 2005
COURSE OUTLINE
SECTION |
TOPIC |
Introduction |
|
1.1 |
Basic Definitions and examples |
1.2 |
Method of solution |
ODE
Review |
|
A.1 |
Linear ODEs |
A.2 |
Constant Coefficients |
A.3 |
Reduction of order and Euler Equations |
Orthogonality and Fourier Series |
|
6.1-6.2 |
Sturm-Liouville Theory |
2.1-2.4 |
Fourier Series |
2.8-2.10 |
Convergence |
| TEST #1 (date to be announced) | |
| PDEs in in Rectangular Coordinates | |
3.1-3.2 |
Introduction and examples |
3.3 |
Separation of variables |
3.3-3.4 |
Wave Equation |
3.5-3.6 |
Heat Equation |
3.7-3.9 |
Higher dimensional equations and Laplace's Equation |
TEST
#2 (date to be announced) |
|
Series Methods for ODEs |
|
A.4-A.5 |
Power series |
A.6 |
Frobenius Series |
PDEs in Polar Coordinates |
|
4.1-4.6 |
Applications |
4.7-4.9 |
Bessel Functions |
| PDEs in Spherical Coordinates | |
5.1-5.4 |
Applications |
5.5-5.7 |
Legendre polynomials |