Duration
12h Th, 15h Pr
Number of credits
| Bachelor in mathematics | 3 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The Lagrangian formulation of mechanics is intimately connected to the introduction of generalized coordinates which are used to describe the motion of a system of particles (including the solids) by elimination of possible constraints restricting their motions. We first introduce the Lagrange's equations and apply this formalism to several different problems (e.g. study of the symmetric top, known as the Lagrange-Poisson problem). Then, we consider the symmetries of a problem and determine the associated conserved quantities. The Hamilton variational principle is also discussed.
Learning outcomes of the learning unit
At the end of the course, the students will have understood the physical concepts and principles of lagrangian mechanics. They will also be able to solve problems related to this subject.
Prerequisite knowledge and skills
It is assumed that the course Analytical Mechanics I is familiar to the students.
Planned learning activities and teaching methods
The theoretical part of the course is presented as lectures. Practical work sessions are also devoted to solving problems and making exercices.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Additional information:
Face-to-face teaching (except in the case of problems related to the pandemic).
Recommended or required readings
Notes and slides (in French) can be downloaded from eCampus. A printed version of the notes can also be provided on demand.
Exam(s) in session
Any session
- In-person
written exam
Additional information:
Written exam.
Work placement(s)
None
Organisational remarks and main changes to the course
Practical details will be provided on eCampus.
Contacts
- Pierre C. DAUBY, Professeur
Institut de Physique (local 2/57), Bât. B5a, Allée du 6 août 19, B-4000 Liège
Tel.: 04/366.23.57
E-mail: PC.Dauby@uliege.be - Guillaume SICORELLO, research and teaching assistant,,
email: guillaume.sicorello@uliege.be