Unit RATIONAL MECHANICS I
- Course
- Mathematics
- Study-unit Code
- 55031206
- Curriculum
- In all curricula
- Teacher
- Maria Clara Nucci
- Teachers
-
- Maria Clara Nucci
- Hours
- 63 ore - Maria Clara Nucci
- CFU
- 9
- Course Regulation
- Coorte 2018
- Offered
- 2020/21
- Learning activities
- Caratterizzante
- Area
- Formazione modellistico-applicativa
- Academic discipline
- MAT/07
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Newtonian Mechanics: cinematics and dynamics of rigid bodies. Lagrangian Mechanics: constraints and generalized coordinates, Hamilton's principle, Lagrangian equations, stability, Lie's and Noether's symmetries. Hamiltonian Mechanics: Hamiltonian equations, Poisson brackets, canonical transformations, Hamilton-Jacobi theory.
- Reference texts
- H. GOLDSTEIN, C.P. POOLE, J.L. SAFKO, Classical Mechanics, III ed., Addison Wesley, 2001;
G. GRIOLI, Lezioni di Meccanica Razionale, Libreria Cortina, 2002;
V. I. ARNOLD, Mathematical Methods of Classical Mechanics, II ed., Springer-Verlag, 1989;
F. R. GANTMACHER, Lezioni di Meccanica Analitica, Editori Riuniti, 1980;
M. BRAUN, Differential Equations and their Applications, IV ed., Springer-Verlag, 1993.
The lecturer has put notes, and scientific articles in unistudium. - Educational objectives
- A basic knowledge of Analytical Mechanics.
- Prerequisites
- Basic knowledge of euclidean geometry, calculus, algebra and classical mechanics
- Teaching methods
- Lectures and office hours. Moreover, a certain number of extra hours of tutoring may be provided by a graduate student.
- Learning verification modality
- Oral exam that includes solving exercises. Oral exam is extremely important. It allows the student to demonstrate her/his comprehension of the syllabus and to dialogue with the professor by using the appropriate scientific terminology. Moreover, during the oral exam the student is able to correct a wrong statement by means of the interaction with the professor who stimulates her/him to reason. The length of the exam is directly proportional to the student's emotional feelings and inversely proportional to her/his knowledge of the syllabus.
- Extended program
- The detailed program can be seen here:
http://www.dmi.unipg.it/nucci/MRIprog17_18.pdf