Course Details for A.Y. 2015/2016

The information on this page refer to the academic year 2015/2016. Therefore, several links are not available and data may be incomplete. To read the current information on the course, if it is still available, go to the university course catalogue . To read information relating other academic years, use the list at the bottom of this page.

A. Year:

2015/2016

Name:

Meccanica Razionale / Rational Mechanics

Type:

Course

Basic information

Code:

F0503

Sector:

MAT/07

Credits:

: Bachelor Degree in Mathematics 9 CFU (b)

Term:

2^nd semester

Degree(s):

Bachelor Degree in Mathematics 2^nd anno curriculum Generale Compulsory

Language:

Italian

Teacher(s):

Maurizio Serva

Propaedeutics:

Mathematical Analysis A
Mathematical Analysis I
Geometry A

Course Objectives

This course aims to enable the students to understand Classical and Analytical Mechanics and to handle the most important related mathematical tools.

Course Content

Principles and mathematical formulation.
One-dimensional systems.
Motion under central forces.
N-points systems.
Constrained systems.
Lagrange equations.
Hamiltonian systems.
Canonical transformations.
Small oscillations of Lagrangian systems.
Variational principles.
Hamilton-Jacobi equations and action-angle variables.

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

have acquired the basic notions of Classical and Analytical Mechanics,
be able to handle the related mathematical tools,
have acquired the ability of reading and understanding more advanced topics in Mechanics,
be able to face subsequent topics in Physics as Quantum and Statistical Mechanics,
be able to recognize when the acquired notions are useful for the comprehension of other topics,
be able to face novel problems with a similar mathematical modeling.

Prerequisites and Learning Activities

Differential Equations, Elementary Linear Algebra.

Assessment Methods and Criteria

Written and, if necessary, oral examination.

Textbooks

A. Celletti, Esercizi e complementi di Meccanica Razionale , Aracne. 2003.
R. Esposito, Appunti dalle lezioni di Meccanica Razionale , Aracne. 1998. http://univaq.it/~serva/teaching/teaching.html
E. Olivieri, Appunti di Meccanica Razionale , UniTor. 1990.
A. Teta, Appunti di Meccanica Razionale http://univaq.it/~serva/teaching/teaching.html
V. I. Arnold, Mathematical Methods of Classical Mechanics , Springer-Verlag. 1989.
L. Benfatto, R. Raimondi, E. Scoppola, Meccanica Hamiltoniana 2006-2007. http://univaq.it/~serva/teaching/teaching.html

Internet Resources

Homepage:

http://univaq.it/~serva/teaching/teaching.html

Teaching material:

Teaching material available on the external website http://univaq.it/~serva/teaching/teaching.html.

Course page updates

This course page is available (with possible updates) also for the following academic years:

To read the current information on this course, if it is still available, go to the university course catalogue .

Course information last updated on: 15 giugno 2016, 17:20