Course Details for A.Y. 2015/2016
Name:
Meccanica Razionale / Rational Mechanics
Basic information
Credits:
: Bachelor Degree in Mathematics 9 CFU (b)
Degree(s):
Bachelor Degree in Mathematics 2nd 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.
- 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
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