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 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 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

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, hybrid learning)

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

Organisational adjustments related to the current health context

The course will be given by videoconference. The organisational details will be communicated by email to the students enroled in the course.

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

Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.

Any session :

- In-person

written exam ( open-ended questions )

- Remote

written exam ( open-ended questions )

- If evaluation in "hybrid"

preferred in-person


Additional information:

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