Mathematics | University of Parma

Professor
Academic discipline: Fisica matematica (MAT/07)
Field: Formazione modellistico-applicativa
Type of training activity: Characterising

96 hours
of face-to-face activities

12 credits

hub:

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

Mathematical approach to classical mechanics from basic principles. Mathematical methods for understanding, modelling and solving mechanical problems

Prerequisites

First and second year mathematical tools

Course unit content

Vectors and tensors. Kinematics. Rigid motion. Fundamental principles of dynamics. First integrals, virtual work, equilibrium. D’Alèmbert principle, Lagrange’s equations. Central forces. Rigid bodies and tensor of e inertia. Stability and Dirichlet principle. Hamiltonian formulation of analytic mechanics.

Full programme

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Bibliography

C.CERCIGNANI, Spazio, tempo, movimento, introduzione alla meccanica razionale; ZANICHELLI, Bologna;
M.FABRIZIO, La meccanica razionale e i suoi metodi matematici, ZANICHELLI, Bologna;
A.FASANO, S. MARMI, Meccanica analitica, BORINGHIERI, Torino;
H.GOLDSTEIN, Meccanica classica, ZANICHELLI, Bologna;
D.GRAFFI, Esercizi di meccanica razionale, PATRON, Bologna;
J.R.TAYLOR, Meccanica classica, ZANICHELLI, Bologna.
Materiale didattico: M.IORI, G.SPIGA, Esercizi per il corso di Meccanica, Parma, Dipartimento di Matematica, Quaderno n. 489.

Teaching methods

Classroom lectures and tutorials

Assessment methods and criteria

Written examination and oral interview.

Other information