Code |
Course Name |
Language |
Type |
MAT 331E |
Partial Differential Equations |
English |
Compulsory |
Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
4 |
6.5 |
4 |
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
|
Class Restriction |
None |
Course Description |
The single first order equations; general solutions of linear and quasi-linear equations and Cauchy problem, nonlinear
equations. Second order linear equations in two independent variables; Cauchy problem and classification, canonical forms.
One dimensional wave equation; Cauchy problem, D’Alembert’s solution, Inhomogeneous wave equation. Elliptic equations;
Laplace equation, max-min principle, boundary value problems and Green’s functions. Parabolic equations; initial and
boundary value problems, fundamental solutions and Green's functions. Analytical methods of solution; separation of variables
and integral transform techniques. |
|