Course Details for A.Y. 2014/2015

The information on this page refer to the academic year 2014/2015. 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:

2014/2015

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):

Immacolata Merola

Propaedeutics:

Mathematical Analysis A
Mathematical Analysis I
Geometry A

Course Objectives

The course presents the Newtonian Mechanic as an axiomatic-deductive theory formulated in a precise mathematical language. The learning objectives of this presentation are 1) to clarify the connection between the description of physical phenomena and their mathematical formalization, 2) to accustom the student to use different mathematical tools (analysis, geometry, etc) to solve a specific problem 3) to develop the ability describe concrete phenomenological situations formalizing them into mathematical models simple, but rigorous that allow predictions controllable. 4) Stimulate a critical understanding of the arguments developed and a the use of a mathematical language. Exercises are essential to achieve these goals.

Course Content

Space-time reference point material and Newton's laws.
One-dimensional systems.
Central forces, two-body problem, Kepler's laws.
Constrained systems and Lagrange equations.
Variational principles.
Rigid bodies
Equilibrium, stability and small oscillatuions
Formulation of the equations of Hamilton
Integrable systems
Action-angles variables.
Perturbation theory

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

on classical mechanics and mathematical tools.
and developpping skill in facing different novel problems with similar mathematical formalization.
on the suitability of models and approximations
the results of their studies in the course.
autonomously. on related fields and topics

Prerequisites and Learning Activities

A good background in Analysis and Geometry contained in the examas of Analysis 1 and Geoemtry 1 is essential and also is would be good a good backgroud in Physic I and Algebra 1

Assessment Methods and Criteria

Oral and written (exercises) exam.

Textbooks

E. Presutti, Appunti di Meccanica Analitica 2012. disponibile sul sito tra il materiale on-line https:
docs.google.com/viewer?a=v&pid=sites&srcid=bWF0LXVuaXZhcS5jb218bXJ8Z3g6NjRjYzEzMzdkZGJiZmJlN
A. Teta, APPUNTI DI MECCANICA RAZIONALE disponibile sul sito tra il materiale on-line https:
docs.google.com/viewer?a=v&pid=sites&srcid=bWF0LXVuaXZhcS5jb218bXJ8Z3g6NGUyMGU0M2Q2Mjc4MWQ3O
R. Esposito, Meccanica Razionale , ed. Aracne. 1998. disponibile sul sito tra il materiale on-line

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: 11 marzo 2015, 15:16