Course syllabus

Analytisk mekanik
Analytical Mechanics

FMEN15, 7,5 credits, A (Second Cycle)

Valid for: 2015/16
Decided by: Education Board E
Date of Decision: 2015-04-13

General Information

Elective for: F4, F4-tf
Language of instruction: The course will be given in English


Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must


Lagrange’s method: mechanical systems, degrees of freedom, generalized coordinates, the Lagrangian, variational principles, Euler-Lagrange’s equations, cyclic coordinates, constants of motion, Noether’s theorem. Hamilton’s method: canonical momenta, Legendre transformation, phase space, the Hamiltonian, Hamiltonian dynamics, Liouville’s theorem, canonical transformations, the Poisson bracket, integral invariants, transformation theory, integrable systems, action-angle variables. Hanilton-Jacobi’s method: Hamilton-Jacobi and the Schrödinger equation. Periodic and chaotic motions. Somewhat on analytical mechanics and its relation to classical statistical mechanics and quantum mechanics.

Examination details

Grading scale: TH
Assessment: Hand in exercises and written exam.


Required prior knowledge: Basic courses in Engineering Mechanics, Linear Algebra and Calculus.
The number of participants is limited to: No

Reading list

Contact and other information

Course coordinator: Univ. lekt. Per Lidström,
Course homepage: