Mathematical tools

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Bessel function for the drums

Master : an option of the Master 2 Physics of complex system

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.

Location: University Paris-Saclay, hbar 625 building, amphi A3/A4/A5, mostly 14:30--16:30,see website

2021-2022: Approximate Schedule for the 13 courses:

  • 09/09 Functionals derivatives I -- tutorial (beware first lecture @11:15 at the slot of biophysics lecture!!)
  • 09/09 Functionals derivatives II
  • 16/09 Complex analysis -- notes & tutorial --
  • 23/09 Fourier transform -- notes & tutorial
  • 30/09 Principal value, Kramers-Krönig relations -- tutorial
  • 07/10 Gaussian integrals and Wick's theorem notes & tutorial -- tutorial
  • 21/10 Saddle points methods + 1h test (total 3h) => 17:30
  • 25/11 Linear algebra -- tutorial
  • 02/12 Green's function: static case (3h) => 17:30 -- tutorial
  • 09/12 Green's function: causality and propagation (3h) => 17:30
  • 16/12 Orthogonal polynomials and Special functions -- notes & tutorial (3h) => 17:30
  • Extra: Continuous groups and Lie algebra -- notes & tutorial
  • Week of 20/01 Final Exam (3h) 9:00-12:00, on everything

incomplete bibliography :

Evaluation (3 ECTS)

  • continuous assessment (1/3 of the final grade): each assessment is graded over 10, this makes a grade over 20. The average grade of the class is typically 14/20.
  • final exam : 3 hours, written exam (2/3 of the final grade)
  • you are allowed to bring your notes and the distributed documents at the tests and exam, but nothing else.

Previous test

Previous final exams