 | | |
| PHYS0089-1 | Mathematical tools of physics
|
|
| Duration : | 30h Th, 30h Pr |
|
| Number of credits : |
|
|
| Lecturer : | Peter Schlagheck |
|
Language(s) of instruction :
|
| French language |
|
Organisation and examination :
|
| Teaching in the second semester |
|
Course contents :
|
| This course completes the mathematical education of physics students. It particularly focuses on complex analysis, on the solution of differential equations, as well as on the mathematical complements of quantum mechanics.
Topics of the course in detail:
- complex analysis and the residue theorem
- Fourier and Laplace transforms
- ordinary differential equations
- Hilbert space and orthogonal polynomials
- Sturm-Liouville equation and spectral theory |
|
Learning outcomes of the course :
|
| Prinicpal objectives of the course:
- to complete the instruction on mathematical tools used by physicists
- to train the students on the practical solution of mathematical problems in physics
- to develop the mathematical notions that form the basis of quantum mechanics |
|
Prerequisites and co-requisites/ Recommended optional programme components :
|
| Mathematical analysis
Linear algebra |
|
Planned learning activities and teaching methods :
|
| Regular homework (once per week) with exercises in relation to the course will have to be submitted. The exercises will be corrected, graded, and discussed in the TP classes. The students will be invited there to present their solutions on the blackboard. |
|
Mode of delivery (face-to-face ; distance-learning) :
|
| The course will be given face-to-face "ex cathedra" on the blackboard. |
|
Recommended or required readings :
|
| Recommended literature:
- W. Appel: "Mathématique pour la physique et les physiciens" (H&K Editions, 2002)
- G.B. Arfken & H.J. Weber: "Mathematical Methods for Physicists" (Academic Press, 1995)
- R. Courant & D; Hilbert: "Methods of Mathematical Physics / volume I" (Interscience Publishers, 1953)
- M.R. Spiegel: "Complex Variables" (Schaum, 1964) |
|
Assessment methods and criteria :
|
| Evaluation will be done by
- a written exam (3 hours, 90% of the total grade) and
- the homework exercises (10% of the total grade). |
|
Work placement(s) :
|
| |
|
Organizational remarks :
|
| |
|
Contacts :
|
| Peter Schlagheck
Département de Physique
Université de Liège
IPNAS, building B15, office 0/125
Sart Tilman
4000 Liège
Phone: 04 366 9043
Email: Peter.Schlagheck@ulg.ac.be
http://www.pqs.ulg.ac.be |
|
|
| Items online : |
|
| lecture notes |
| lecture notes |
|
|
