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Partial Differential Equations of
MT2003 Applied Mathematics: Partial Differential Equations
Professor Alan Hood Room 304
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Partial Differential Equations of First Order
Introduction
Revision of Partial Differentiation
Verification of Solutions to PDEs
Method of Characteristics
Initial-value Problems
Initial-boundary-value Problems
Method of Characteristics : Other Examples
Partial Differential Equations of Second Order
Definitions of Partial Differential Equations
Modelling: Derivation of the wave equation
D'Alembert's solution of the Wave Equation
Separation of Variables
Fourier Series
Half-Range Expansions
The Method of Separation of Variables
Modelling: Derivation of the heat equation
Solution of the heat equation: separation of variables
About this document ...
Prof. Alan Hood
2000-10-30