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Fiches de cours 2017-2018
Mathematical methods for physicists
PHYS-216
Enseignant(s) :
Brunner StephanGraves Jonathan
Langue:
English
Summary
This course complements the Analysis and Linear Algebra courses in providing further mathematical background required for 3rd year physics courses, in particular electrodynamics and quantum mechanics.Content
Introduction to Hilbert spaces. Solving linear 2nd order Ordinary Differential Equations (ODEs): Frobenius method, boundary value problems, Sturm-Liouville problems. Fourier analysis: Fourier Series and Fourier Transforms. Special functions. Methods for solving Partial Differential Equations (PDEs).Learning Prerequisites
Required courses
Analyse I, II and III. Linear algebra I and II Physics I, II, and III.
Recommended courses
Computational Physics I.
Important concepts to start the course
Analysis: basic theory of ODEs, vector calculus. Linear algebra: Vector spaces, inner product spaces, linear operators, eigenvalue problems, matrix diagonalisation. Complex algebra.
Learning Outcomes
By the end of the course, the student must be able to:- Apply the methods presented in the course for solving physical equations.
Teaching methods
Ex cathedra lecture and exercises in the classroomAssessment methods
Written examResources
Bibliography
The main reference for the course is the book by Arfken:
G. B. Arfken, H. J. Weber, and F. E. Harris
"Mathematical Methods for Physicists, A Comprehensive Guide"
7th edition, Academic Press 2013.
Hard copies and electronic version available through EPFL library.
Ressources en bibliothèque
Moodle Link
Dans les plans d'études
- SemestrePrintemps
- Forme de l'examenEcrit
- Crédits
4 - Matière examinée
Mathematical methods for physicists - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
2 Heure(s) hebdo x 14 semaines
- Semestre
Semaine de référence
Lu | Ma | Me | Je | Ve | |
---|---|---|---|---|---|
8-9 | |||||
9-10 | |||||
10-11 | |||||
11-12 | |||||
12-13 | |||||
13-14 | |||||
14-15 | CE1 | ||||
15-16 | |||||
16-17 | CE1106 | ||||
17-18 | |||||
18-19 | |||||
19-20 | |||||
20-21 | |||||
21-22 |
Cours
Exercice, TP
Projet, autre
légende
- Semestre d'automne
- Session d'hiver
- Semestre de printemps
- Session d'été
- Cours en français
- Cours en anglais
- Cours en allemand