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* 18/10 Kramers-Krönig relations and Gaussian integrals  
* 18/10 Kramers-Krönig relations and Gaussian integrals  
* 25/10 Wick's theorem + '''60min test on 4.5.6.7'''
* 25/10 Wick's theorem + '''60min test on 4.5.6.7'''
* 08/11 Saddle points methods, asymptotics expansions <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial] -->
* 08/11 Saddle points methods, asymptotics expansions -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial]
* 15/11 Linear algebra <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDlinearAlgebra.pdf tutorial]-->
* 15/11 Linear algebra <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDlinearAlgebra.pdf tutorial]-->
* 22/11 Green's function: static case <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial]-->
* 22/11 Green's function: static case <!-- -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial]-->

Revision as of 10:55, 29 October 2018

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 -- tutorial -- correction
  • 13/09 Functionals derivatives II
  • 20/09 Continuous groups and Lie algebra -- notes & tutorial
  • 27/09 Complex analysis + 30min test on 1.2 -- notes & tutorial
  • 04/10 Fourier transform -- notes & tutorial
  • 11/10 Principal value -- tutorial
  • 18/10 Kramers-Krönig relations and Gaussian integrals
  • 25/10 Wick's theorem + 60min test on 4.5.6.7
  • 08/11 Saddle points methods, asymptotics expansions -- tutorial
  • 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
  • 09/01 Final Exam (3h) 9:00-12:00, on everything

incomplete bibliography :

Evaluation (3 ECTS)

  • continuous assessment (1/3 of the final grade)
  • final exam : 3 hours, written exam (2/3 of the final grade)

Previous test

Previous final exams