# Course Details for A.Y. 2018/2019

#### Name:

**Meccanica Razionale / Rational Mechanics**

### Basic information

##### Credits:

*:* Bachelor Degree in Mathematics 9 CFU (b)

##### Degree(s):

Bachelor Degree in Mathematics 2^{nd} anno curriculum Generale Compulsory

##### Language:

Italian

### 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.
- More about hamiltonian systems.

### 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
* *
- A. Teta, Appunti di Meccanica Razionale http://univaq.it/~serva/teaching/teaching.html
* *
- E. Olivieri, Appunti di Meccanica Razionale , UniTor. 1990.
* *
- 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
* *

### 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: 02 ottobre 2018, 13:40*