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'''Syllabus''': Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on. | '''Syllabus''': Course built on miscellaneous small chapters, based on examples. The goal is to recall and/or introduce useful mathematical tools with hands on. | ||
''' | '''Location''': University Paris-Saclay, hbar 625 building, amphi A3/A4/A5, mostly 14:30--16:30,[https://physics-complex-systems.fr/documents.html see website] | ||
* | |||
* | '''2021-2022''': Approximate Schedule for the 13 courses: | ||
* | * 09/09 Functionals derivatives I -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDvariation.pdf tutorial] ('''beware first lecture @11:15''' at the slot of biophysics lecture!!) | ||
<!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDvariation_all.pdf correction] --> | |||
* | * 09/09 Functionals derivatives II | ||
* 16/09 Complex analysis -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDcomplex.pdf notes & tutorial] -- <!--[http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDcomplexAnalysis.pdf correction]--> | |||
* 23/09 Fourier transform -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDFourier.pdf notes & tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanFourier.pdf correction] --> | |||
* | * 30/09 Principal value, Kramers-Krönig relations -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDkramers.pdf tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDkramers.pdf correction] --> | ||
* 07/10 Gaussian integrals and Wick's theorem [http://lptms.u-psud.fr/membres/groux/enseignements/Math/GaussianAsymptotics.pdf notes & tutorial] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDsteepest.pdf tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDgaussiennes.pdf correction] --> | |||
* 21/10 Saddle points methods '''+ 1h test (total 3h)''' => 17:30 <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanLaplaceMethod.pdf Laplace method] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDsteepest.pdf correction] --> | |||
* | * 25/11 Linear algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDlinearAlgebra.pdf tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDLinearAlgebra.pdf correction] --> | ||
* | * 02/12 Green's function: static case '''(3h)''' => 17:30 -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDGreenFunction.pdf tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/ScanTDGreen.pdf correction] --> | ||
* | * 09/12 Green's function: causality and propagation '''(3h)''' => 17:30 <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanGreen3Dwaves.pdf notes on 3D waves] --> | ||
* | * 16/12 Orthogonal polynomials and Special functions -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/OrthogonalPolynomials.pdf notes & tutorial] '''(3h)''' => 17:30 <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/RodriguesFormula.pdf Rodrigues formula] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanPolynomials.pdf correction] --> | ||
* Extra: Continuous groups and Lie algebra -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TDgroup.pdf notes & tutorial] <!-- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/groupMorphism.pdf last page] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/scanTDgroup.pdf correction] --> | |||
* Week of 20/01 '''Final Exam (3h)''' 9:00-12:00, on everything | |||
'''incomplete bibliography''' : | '''incomplete bibliography''' : | ||
| Line 40: | Line 42: | ||
* 2017--2018 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TestComplex2017.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/CorrigeTestComplex2017.pdf correction] (some typos in modulus squares in the correction...) | * 2017--2018 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TestComplex2017.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/CorrigeTestComplex2017.pdf correction] (some typos in modulus squares in the correction...) | ||
* 2018--2019 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TestComplex2018.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/CorrigeTestComplex2018.pdf correction] | * 2018--2019 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/TestComplex2018.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/CorrigeTestComplex2018.pdf correction] | ||
* 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2019.pdf Test on variational calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2019_corrige.pdf correction] | <!-- * 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2019.pdf Test on variational calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2019_corrige.pdf correction] --> | ||
* 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_complex2019.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_complex2019_corrige.pdf correction] | * 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_complex2019.pdf Test on complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_complex2019_corrige.pdf correction] | ||
* 2021--2022 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2021.pdf Test on variational and complex calculus] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/test_variations2021_corrige.pdf correction] | |||
'''Previous final exams''' | '''Previous final exams''' | ||
| Line 47: | Line 50: | ||
* 2018--2019 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2018.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2018_correction.pdf correction] | * 2018--2019 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2018.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2018_correction.pdf correction] | ||
* 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2019.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2019_correction.pdf correction] | * 2019--2020 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2019.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2019_correction.pdf correction] | ||
* 2020--2021 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2020.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2020_correction.pdf correction] (partial correction, too long...) | |||
* 2021--2022 : [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2021.pdf subject] -- [http://lptms.u-psud.fr/membres/groux/enseignements/Math/Exam2021_correction.pdf correction] | |||
Latest revision as of 19:13, 13 February 2022
Bessel function for the drums
Master : an option of the Master 2 Physics of complex system
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.
Location: University Paris-Saclay, hbar 625 building, amphi A3/A4/A5, mostly 14:30--16:30,see website
2021-2022: Approximate Schedule for the 13 courses:
- 09/09 Functionals derivatives I -- tutorial (beware first lecture @11:15 at the slot of biophysics lecture!!)
- 09/09 Functionals derivatives II
- 16/09 Complex analysis -- notes & tutorial --
- 23/09 Fourier transform -- notes & tutorial
- 30/09 Principal value, Kramers-Krönig relations -- tutorial
- 07/10 Gaussian integrals and Wick's theorem notes & tutorial -- tutorial
- 21/10 Saddle points methods + 1h test (total 3h) => 17:30
- 25/11 Linear algebra -- tutorial
- 02/12 Green's function: static case (3h) => 17:30 -- tutorial
- 09/12 Green's function: causality and propagation (3h) => 17:30
- 16/12 Orthogonal polynomials and Special functions -- notes & tutorial (3h) => 17:30
- Extra: Continuous groups and Lie algebra -- notes & tutorial
- Week of 20/01 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): each assessment is graded over 10, this makes a grade over 20. The average grade of the class is typically 14/20.
- final exam : 3 hours, written exam (2/3 of the final grade)
- you are allowed to bring your notes and the distributed documents at the tests and exam, but nothing else.
Previous test
- 2017--2018 : Test on complex calculus -- correction (some typos in modulus squares in the correction...)
- 2018--2019 : Test on complex calculus -- correction
- 2019--2020 : Test on complex calculus -- correction
- 2021--2022 : Test on variational and complex calculus -- correction
Previous final exams
- 2017--2018 : subject -- correction
- 2018--2019 : subject -- correction
- 2019--2020 : subject -- correction
- 2020--2021 : subject -- correction (partial correction, too long...)
- 2021--2022 : subject -- correction