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:

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

incomplete bibliography :

Evaluation (3 ECTS)

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