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* 21/09 Lagrange multipliers and functional integration | * 21/09 Lagrange multipliers and functional integration | ||
* 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 | * 05/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf tutorial] | ||
* 12/10 Principal value -- Kramers-Krönig relations | * 12/10 Principal value -- Kramers-Krönig relations | ||
* 19/10 Gaussian integrals | * 19/10 Gaussian integrals | ||
Revision as of 22:22, 16 October 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 -- Kramers-Krönig relations
- 19/10 Gaussian integrals
- 26/10 Steepest descent + 30min test on 4.5.6.7
- 02/11 Linear algebra
- 16/11 Landau-Zener formula
- 23/11 Orthogonal polynomials
- 30/11 Green's function
- 07/12 Differential geometry
- during the week of 08/01 3h Exam on everything
incomplete bibliography :
- Physics and Mathematical Tools: Methods and Examples -- A. Alastuey, M. Clusel, M. Magro, P. Pujol.
- Mathematical Methods for Physicists -- T. L. Chow (free pdf).
- MATHEMATICAL METHODS FOR PHYSICISTS, George B. Arfken & H. J. Weber
- Mathematics for Physics -- M. Stone & P. Goldbart (free pdf)
- Group Theory in a Nutshell for Physicists -- Anthony Zee.
Evaluation (3 ECTS)
- continuous assessment
- final exam : 3 hours, written exam