Learning objectives
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Mathematical approach to classical mechanics from basic principles.<br />
Mathematical methods for understanding, modelling and solving mechanical problems.
Prerequisites
First and second year mathematical tools.
Course unit content
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Vectors and tensors. Kinematics. Rigid motion. Fundamental principles of dynamics. First integrals, virtual work, equilibria. D'Alèmbert principle, Lagrange's equations. Rigid bodies and tensor of inertia. Stability and Dirichlet principle.
Full programme
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Bibliography
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M. Fabrizio, La meccanica razionale e i suoi metodi matematici, Zanichelli, Bologna. <br />
A. Fasano, S. Marmi, Meccanica analitica, Boringhieri, Torino. <br />
H. Goldstein, Meccanica classica, Zanichelli, Bologna.
Teaching methods
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Assessment methods and criteria
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Other information
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