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Università degli Studi di Parma Università degli Studi di Parma
University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

ANALYTICAL MECHANICS
cod. 00686

Academic year 2007/08
2° year of course - First semester
Professor
Academic discipline
Fisica matematica (MAT/07)
Field
Discipline matematiche
Type of training activity
Basic
32 hours
of face-to-face activities
4 credits
hub:
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

Classical mechanics topics are presented following the hypothetical-deductive method typical of mathematics. The course also introduces the Lagrangian and Hamiltonian formulations of motion problems in mechanical systems.

Prerequisites

Students are required to be familiar with the main topics of the 1st year Mathematical Analysis (Calculus) and Geometry courses.

Course unit content

<br />Review of vector calculus and kinematics. Central motions. Classification of orbits. Constrained systems. Lagrangian coordinates. Degrees of freedom. Cardinal theorems. First integrals of motion. Lagrange’s equations. Hamilton’s equations. Stability of motion and equilibrium. Small motions about a stable equilibrium configuration. Normal coordinates and normal modes. 

Full programme

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Bibliography

A.FASANO - S.MARMI, Meccanica analitica, Bollati-Boringhieri. <br />
<br />
H.GOLDSTEIN, Meccanica classica, Zanichelli. <br />
<br />
L.D.LANDAU - E.M.LIFSCHITZ, Meccanica, Ed. Riuniti

Teaching methods

Classroom lectures, with exercises. Oral exam, preceded by discussion of a proposed exercise. <br />

Assessment methods and criteria

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Other information

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