This module introduces the concept of partial differential equations, the concept of solution to partial differential equations, with initial and initial boundary value problems for evolution PDE, and steady state boundary value problems for steady state PDE. First order PDE and systems of first order PDE’s are considered (both linear and nonlinear) and solution methods are developed, with specific examples relating to linear and nonlinear simple wave PDE’s.
Learning Outcomes
By the end of the module students should be able to:
By the end of the module, students should be able to appreciate PDE problems and understand the concept of classical solution to PDE problems.
Students should be able to effectively employ the method of characteristics to construct solutions to strictly hyperbolic PDE problems which are linear and nonlinear.
Students should also appreciate how to apply these methods to more general linear evolution PDE
Assessment
28367-01 : Raw Module Mark : Coursework (100%)
Assessment Methods & Exceptions
1.5 hour Written Unseen Examination (80%); In-course Assessment (20%).