| Code |
Course Name |
Language |
Type |
| MAT 234 |
Partial Differential Equations |
Turkish |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 201 MIN DD
or MAT 201E MIN DD
or MAT 232 MIN DD
or MAT 232E MIN DD
or MAT 210 MIN DD
or MAT 210E MIN DD
or BIO 210E MIN DD
or BLG 210E MIN DD
or CEV 210 MIN DD
or CEV 210E MIN DD
or DEN 210E MIN DD
or EEE 210E MIN DD
or EEF 210 MIN DD
or EEF 210E MIN DD
or FIZ 210 MIN DD
or GEM 210E MIN DD
or GEO 220 MIN DD
or GEO 220E MIN DD
or INS 210 MIN DD
or INS 210E MIN DD
or KIM 271 MIN DD
or MAK 210E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Partial Differential Equations-Introductory concepts, First-order linear equations, Ideas on derivations of the fundamental PDEs,
Types of PDE problems, Classification of second-order linear equations. Initial value problem for the wave and the heat/diffusion
equations on the whole line, energy methods and maximum principle for uniqueness. The homogeneous heat/diffusion equation
on the half-line, the homogeneous wave equation on the half-line and on a finite interval by the method of reflections. The
inhomogeneous wave and heat/diffusion equations on the whole line. The wave and heat/diffusion equations under initial and
boundary conditions by the method of separation of variables. Harmonic Functions: Laplace's equation: Maximum principle,
uniqueness, invariance, Poisson's formula. Green's Identities and Green's Functions. |
|
