Mathematical tools

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Bessel function for the drums

Lecturer : Guillame Roux

Syllabus: Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on.

2018-2019: Approximate Schedule for the 13 courses:

  • 06/09 Functionals derivatives I
  • 13/09 Functionals derivatives II
  • 20/09 Symmetries and Lie algebra
  • 27/09 Complex analysis + 30min test on 1.2.3
  • 04/10 Fourier transform
  • 11/10 Principal value
  • 18/10 Kramers-Krönig relations
  • 25/10 Gaussian integrals and Wick's theorem + 60min test on 4.5.6.7
  • 08/11 Saddle points methods
  • 15/11 Linear algebra
  • 22/11 Green's function: static case
  • 29/11 Green's function: causality and propagation
  • 06/12 Orthogonal polynomials and Special functions
  • ??/01 Final Exam (3h) on everything

incomplete bibliography :

Evaluation (3 ECTS)

  • continuous assessment
  • final exam : 3 hours, written exam