Difference between revisions of "Mathematical tools"

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* 28/09 Complex analysis + '''30min test on 1.2.3''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf tutorial]
 
* 28/09 Complex analysis + '''30min test on 1.2.3''' -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf tutorial]
 
* 05/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]
 
* 05/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial]
* 12/10 Principal value - Kramers-Krönig relations -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]
+
* 12/10 Principal value -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial]
* 19/10 Gaussian integrals -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial]
+
* 19/10 Kramers-Krönig relations
* 26/10 Steepest descent + '''30min test on 4.5.6.7'''
+
* 26/10 Gaussian integrals + '''60min test on 4.5.6.7'''-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial]
* 02/11 Linear algebra
+
* 02/11 Wick's theorem
* 16/11 Landau-Zener formula
+
* 16/11 Saddle points methods
* 23/11 Orthogonal polynomials
+
* 23/11 Linear algebra
* 30/11 Green's function
+
* 30/11 Orthogonal polynomials
* 07/12 Differential geometry
+
* 07/12 Green's function
 
* during the week of 08/01 '''3h Exam''' on everything
 
* during the week of 08/01 '''3h Exam''' on everything
  

Revision as of 18:19, 14 November 2017

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-- tutorial
  • 02/11 Wick's theorem
  • 16/11 Saddle points methods
  • 23/11 Linear algebra
  • 30/11 Orthogonal polynomials
  • 07/12 Green's function
  • during the week of 08/01 3h Exam on everything

incomplete bibliography :

Evaluation (3 ECTS)

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