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Module PARTIAL DIFFERENTIAL EQUATIONS

Module code: MT401S
Credits: 5
Semester: 1
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

Module Objective:
To introduce students to PDE’s and Modelling.

First order constant coefficient PDEs, Cauchy data. More general first order linear PDEs, characteristic curves. Classification of second order PDEs as elliptic, parabolic, or hyperbolic. The one-dimensional wave equation, d'Alembert's solution. Fourier series. The one-dimensional heat equation, series solutions. Time permitting: brief treatment of the two-dimensional Laplace equation.

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