You are browsing the curriculum of a past academic year (2022–2023).
Do you want to change to the ongoing academic year?
Course unit, curriculum year 2022–2023
FYS.422
Analytical Mechanics, 5 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 1 (1.8.2022–23.10.2022)
Active in period 2 (24.10.2022–31.12.2022)
Active in period 3 (1.1.2023–5.3.2023)
Active in period 4 (6.3.2023–31.5.2023)
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
Studies that include this course
Completion option 1
Completion of all options is required.
Participation in teaching
30.08.2022 – 11.12.2022
Active in period 1 (1.8.2022–23.10.2022)
Active in period 2 (24.10.2022–31.12.2022)