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Course unit, curriculum year 2020–2021
FYS-4406

Analytical Mechanics, 5 cr

Tampere University
Teaching periods
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)
Active in period 3 (1.1.2021–7.3.2021)
Active in period 4 (8.3.2021–31.5.2021)
Course code
FYS-4406
Language of instruction
English
Academic year
2020–2021
Level of study
Advanced studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Jouko Nieminen
Responsible 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

24.08.2020 01.12.2020
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)

Exam

16.12.2020 16.12.2020
Active in period 2 (19.10.2020–31.12.2020)
09.02.2021 09.02.2021
Active in period 3 (1.1.2021–7.3.2021)
15.04.2021 15.04.2021
Active in period 4 (8.3.2021–31.5.2021)