Mathematical tools: Difference between revisions

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Approximate Schedule for the 13 courses:
Approximate Schedule for the 13 courses:
* ??/09 Functionals derivatives I -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDvariation.pdf tutorial]
* 06/09 Functionals derivatives I -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDvariation.pdf tutorial]
* ??/09 Functionals derivatives II
* 13/09 Functionals derivatives II
* ??/09 Lagrange multipliers and functional integration
* 20/09 Symmetries and Lie algebra
* ??/09 Complex analysis + '''30min test on 1.2.3''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf tutorial]
* 27/09 Complex analysis + '''30min test on 1.2.3''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf tutorial]
* ??/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]
* 04/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]
* ??/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]
* 11/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]
* ??/10 Kramers-Krönig relations  
* 18/10 Kramers-Krönig relations  
* ??/10 Gaussian integrals + '''60min test on 4.5.6.7'''
* 25/10 Gaussian integrals and Wick's theorem + '''60min test on 4.5.6.7'''
* ??/11 Wick's theorem -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial]
* 08/11 Saddle points methods -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial]  
* ??/11 Saddle points methods
* 15/11 Linear algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDlinearAlgebra.pdf tutorial]
* ??/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]
* ??/11 Green's function: static case -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial]
* 29/11 Green's function: causality and propagation
* ??/12 Green's function: causality and propagation  
* 06/12 Orthogonal polynomials and Special functions
* ??/01 '''Final Exam (3h)''' on everything
* ??/01 '''Final Exam (3h)''' on everything



Revision as of 23:09, 30 August 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.

Approximate Schedule for the 13 courses:

  • 06/09 Functionals derivatives I -- tutorial
  • 13/09 Functionals derivatives II
  • 20/09 Symmetries and Lie algebra
  • 27/09 Complex analysis + 30min test on 1.2.3 -- tutorial
  • 04/10 Fourier transform -- tutorial
  • 11/10 Principal value -- tutorial
  • 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 -- tutorial
  • 15/11 Linear algebra -- tutorial
  • 22/11 Green's function: static case -- tutorial
  • 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