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.

Approximate Schedule for the 13 courses:

  • 07/09 Functionals derivatives I -- tutorial
  • 14/09 Functionals derivatives II
  • 21/09 Lagrange multipliers and functional integration
  • 28/09 Complex analysis + 30min test on 1.2.3 -- tutorial
  • 05/10 Fourier transform -- tutorial
  • 12/10 Principal value -- tutorial
  • 19/10 Kramers-Krönig relations
  • 26/10 Gaussian integrals + 60min test on 4.5.6.7
  • 02/11 Wick's theorem -- tutorial
  • 16/11 Saddle points methods
  • 23/11 Linear algebra -- tutorial
  • 30/11 Green's function: static case -- tutorial
  • 07/12 Green's function: causality and propagation
  • 10/01 Final Exam (3h) on everything

incomplete bibliography :

Evaluation (3 ECTS)

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