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

Solution techniques. Separation of variables, method of characteristics.
Classical equations. Derivation of transport, heat, wave and beam equations.
Boundary value problems. Dirichlet and Neumann conditions, Fourier series.
Eigenvalue problems. Rayleigh quotient, properties of eigenvalues, completeness.
Calculus of variations. Critical points, Euler-Lagrange equations, first and second variation, Legendre's condition, Noether's theorem.
  1. Partial differential equations, an introduction, by Walter Strauss.
  2. Calculus of variations, by Gelfand and Fomin.
Jan 19, 2012

File translated from TEX by TTH, version 3.89.
On 19 Jan 2012, 16:57.