Course unit, curriculum year 2023–2024
FYS.422
Analytical Mechanics, 5 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 1 (1.8.2023–22.10.2023)
Active in period 2 (23.10.2023–31.12.2023)
Active in period 3 (1.1.2024–3.3.2024)
Active in period 4 (4.3.2024–31.5.2024)
Course code
FYS.422Language of instruction
EnglishAcademic years
2021–2022, 2022–2023, 2023–2024Level of study
Advanced studiesGrading scale
General scale, 0-5Persons responsible
Responsible teacher:
Jouko NieminenResponsible organisation
Faculty of Engineering and Natural Sciences 100 %
Core content
- Equations of motion and conservation laws. The two complementary approaches in mechanics: direct solution of time dependencies and first integrals from conserving quantities.
- Lagrangian and Hamiltonian methods in physics and variational approaches.
- Nonlinearity and chaos. Attractors, limit cycles, Hopf Bifurcations.
- Numerical solutions of equations of motion derived using Lagrangian and Hamiltonian methods. Molecular dynamics method.
Complementary knowledge
- Formulation and solution of field equations using variational methods. Correspondencies between classical and quantum mechanics.
- Stability considerations. Numerical solution of chaotic systems and Poincare maps.
Learning outcomes
Further information
Learning material
Kokonaisuudet, joihin opintojakso kuuluu
Completion option 1
Completion of all options is required.
Participation in teaching
29.08.2023 – 11.12.2023
Active in period 1 (1.8.2023–22.10.2023)
Active in period 2 (23.10.2023–31.12.2023)