This course complements the Analysis and Linear Algebra courses by providing further mathematical background and practice required for 3rd year physics courses, in particular electrodynamics and quantum mechanics.
Review of essential linear algebra concepts and their application to function spaces. Solving Ordinary Differential Equations (ODEs), in particular linear 2nd order: Frobenius method, boundary value problems, Sturm-Liouville problems. Fourier analysis: Fourier Series and Fourier Transforms. Special functions. Methods for solving Partial Differential Equations (PDEs).
Analyse I, II and III. Linear algebra I and II Physics I, II, and III.
Computational Physics I.
Important concepts to start the course
- Linear algebra: Vector spaces, inner product spaces, linear operators, eigenvalue problems, matrix diagonalisation.
- Analysis: basic theory of ODEs, vector calculus. Complex algebra and towards the end of the course, complex analysis.
By the end of the course, the student must be able to:
- Apply the methods presented in the course for solving (differential) equations met in various fields of physics.
Ex cathedra lecture and assisted exercises in the classroom
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
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Mathematical methods for physicists
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks