School of Mathematics
MA342H - Partial differential equations (methods and
applications)
2011-12 (JS & SS Mathematics
SS Theoretical Physics
SS Two-Subject Moderatorship
)
Lecturer: Prof. P. Karageorgis
Requirements/prerequisites: MA2326 (Ordinary differential equations)
Duration: Hilary Term, 11 weeks
Number of lectures per week: 3.
Assessment: Homework counting 10% towards the final result (90% for the
final exam).
ECTS credits: 5
End-of-year Examination: 2-hour examination in Trinity Term
Description:
- I.
- Solution techniques.
Separation of variables, method of characteristics.
- II.
- Classical equations.
Derivation of transport, heat, wave and beam equations.
- III.
- Boundary value problems.
Dirichlet and Neumann conditions, Fourier series.
- IV.
- Eigenvalue problems.
Rayleigh quotient, properties of eigenvalues, completeness.
- V.
- Calculus of variations.
Critical points, Euler-Lagrange equations, first and second variation,
Legendre's condition, Noether's theorem.
Textbooks:
- Partial differential equations, an introduction,
by Walter Strauss.
- Calculus of variations,
by Gelfand and Fomin.
Jan 19, 2012
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On 19 Jan 2012, 16:57.