Document Actions
MATH334 (P1 W1)
|
|
Advanced Differential Equations |
|
|
16 |
|
|
|
|
|
To acquire knowledge of the underlying mathematical theory to solve advanced problems in differential equations. |
|
|
Phase plane and stability, Poincare-Bendixon theorem, limit cycles, Lyapunov functions. Basic PDE’s: the Laplace equation, the wave equation and the heat equation. Canonical forms of PDE’s. Methods of solutions: basic separation of variables, method of characteristics, Green’s function. Application to problems arising in mathematical physics. |
|
|
Class tests and/or assignments (33%), 3h exam (67%). |
|
|
30% Class mark, 80% attendance at lectures & tutorials. |
|
|
in Semester 1. |