Mathematical methods for physicists
Summary
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.
Content
The course consists of a series of problems that illustrate the use of several mathematical methods (mostly taught in other courses): linear algebra, real and complex analysis, vector calculus, differential equations, Sturm-Liouville theory, special functions, Fourier series, Fourier transforms, theory of distributions, variational calculus, elements of group theory, probability and statistics.
Learning Prerequisites
Required courses
Analyse I, II and III. Linear algebra I and II Physics I, II, and III.
Recommended courses
Linear Algebra I and II.
Analysis I, II, III and IV.
Probability and Statistics.
Analytical Mechanics.
Learning Outcomes
By the end of the course, the student must be able to:
- Solve Physics and Mathematical problems using an appropriate method taught during the first two years of Bachelor.
Transversal skills
- Demonstrate the capacity for critical thinking
Teaching methods
Ex cathedra lecture and assisted exercises in the classroom
Assessment methods
written exam
Supervision
Assistants | Yes |
Resources
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
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Mathematical methods for physicists
- Lecture: 1 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: mandatory
Reference week
Mo | Tu | We | Th | Fr | |
8-9 | |||||
9-10 | |||||
10-11 | |||||
11-12 | |||||
12-13 | |||||
13-14 | |||||
14-15 | |||||
15-16 | |||||
16-17 | |||||
17-18 | |||||
18-19 | |||||
19-20 | |||||
20-21 | |||||
21-22 |
Légendes:
Lecture
Exercise, TP
Project, labs, other