Mathematical tools: Difference between revisions
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* 04/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf notes & tutorial] | * 04/10 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf notes & tutorial] | ||
* 11/10 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] | ||
* 18/10 Kramers-Krönig relations | * 18/10 Kramers-Krönig relations and Gaussian integrals | ||
* 25/10 | * 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]--> | ||
Revision as of 14:24, 18 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
- 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 :
- 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)
- Mathematical physics: a modern introduction to its foundations -- S. Hassani
- Mathematical Methods: For Students of Physics and Related Fields -- S. Hassani
- Physics and Mathematical Tools: Methods and Examples -- A. Alastuey, M. Clusel, M. Magro, P. Pujol.
- Group Theory in a Nutshell for Physicists -- Anthony Zee. (if you want to learn group theory)
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
- 2017--2018 : Test on complex calculus -- correction
Previous final exams
- 2017--2018 : subject