Hamiltonian mechanics
Faculteit | Science and Engineering |
Jaar | 2020/21 |
Vakcode | WMMA019-05 |
Vaknaam | Hamiltonian mechanics |
Niveau(s) | master |
Voertaal | Engels |
Periode | semester II a |
ECTS | 5 |
Rooster | rooster.rug.nl |
Uitgebreide vaknaam | Hamiltonian mechanics | ||||||||||||||||||||||||
Leerdoelen | At the end of the course, the student is able to: 1. understand classical mechanics from the Newtonian, the Lagrangian and Hamiltonian point of view in terms calculus on manifolds 2. understand symplectic geometry and how it relates to the description of mechanical systems 3. understand the concept of integrable system and its centrality in perturbation theory 4. deal with concrete mechanical examples in this way, from modelling to describing the geometry of the solutions 5. deepen and broad the mathematical background |
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Omschrijving | Mathematical aspects of classical mechanics will be developed via Newtonian and Lagrangian systems to the world of Hamiltonian systems, which most naturally live on symplectic manifolds. The entire theory, including the benefits of the symplectic formalism is illustrated with many examples, eventually touching on current research. | ||||||||||||||||||||||||
Uren per week | |||||||||||||||||||||||||
Onderwijsvorm | Hoorcollege (LC), Opdracht (ASM) | ||||||||||||||||||||||||
Toetsvorm |
Opdracht (AST), Schriftelijk tentamen (WE)
(The final grade (FG) is computed as: FG = 0.6 * FE + 0.3 * HW + IP where IP: 1 point from active participation and work on class assignments HW: average grade (0-10) of the handed-in assignments FE: take-home exam grade (0-10) To pass the course FG needs to be higher than 5.5) |
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Vaksoort | master | ||||||||||||||||||||||||
Coördinator | dr. M. Seri | ||||||||||||||||||||||||
Docent(en) | dr. M. Seri | ||||||||||||||||||||||||
Verplichte literatuur |
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Entreevoorwaarden | Knowledge assumed: good knowledge of ordinary differential equations and being acquainted with analysis on manifolds, against a general bachelor background in mathematics. Mechanics is not required, but is of course useful. | ||||||||||||||||||||||||
Opmerkingen | This course was registered last year with course code WIYHM-12 | ||||||||||||||||||||||||
Opgenomen in |
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