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

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course completes the mathematical education of physics students. It particularly focuses 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 learning unit

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

Prerequisite knowledge and skills

Mathematical analysis
Linear algebra

Planned learning activities and teaching methods

The TP classes associated with this course are devoted to the solution of exercises related to the course. For certain exercises the students are invited to present their solutions on the blackboard. Regular interrogations are organized in the framework of the TP classes in order to permit each student to check his/her level of knowledge.

Mode of delivery (face to face, distance learning, hybrid learning)

The course will be given face-to-face "ex cathedra" on the blackboard.

Course materials and 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)

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions )


Additional information:

Evaluation will be done by
- a written exam (90% of the total grade) and
- the homework exercises (10% of the total grade).

Work placement(s)

Organisational remarks and main changes to the course

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

Association of one or more MOOCs

Items online