Rational Mechanics

Duration

20h Th, 30h Pr

Number of credits

Lecturer

Eric Delhez

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The course provides an introduction to the basic concepts (kinematics, forces,...) and to the fundamental laws of Newtonian dynamics.
The concepts are illustrated by means of applications to the movement of the material point (electromagnetic field, open systems, central forces, guided movements) and solid body (plan and three-dimensional movements).

Learning outcomes of the learning unit

At the end of the course, the students will be able to understand and use the fundamental concepts of Newtonian dynamics for the description of simple mechanical systems. The students will be able to apply the tools of calculus to the mathematical modelling of mechanical systems and their analysis.

Prerequisite knowledge and skills

Calculus (functions of real variables, ODE, vector calculus) and geometry (coordinate systems, Frenet local coordinate system)

Planned learning activities and teaching methods

The course includes both ex-cathedra lectures (20 h) and exercise sessions (30 h).
A the end of the main parts of the course, interactive exercice sessions are organized at which students solve problems by themselves with the help of instructors.
A forum is open on e-Campus to ease the interaction between the students and the instructors.  Questions can be asked at any time about both the theoretical aspects and the applications. In particular, students are encouraged to share their problems, solutions and approaches of the applications that are suggested to them every week.

Mode of delivery (face-to-face ; distance-learning)

Face-to-face learning

Recommended or required readings

Mécanique Rationnelle - Modèle mathématique de Newton, by Eric J.M. Delhez, 2019 (ISBN 978-2-8052-0494-4).

Assessment methods and criteria

Written tests in January and August/September (retake).

The exams will test the ability of the students to solve problems similar to those addressed during the exercice sessions and the knowledge of the basic concepts and results discussed in the lectures.

Work placement(s)

Organizational remarks

The course takes place during the first quadrimester at the rate of one half day per week.

The schedule and organization details are available at http://www.mmm.ulg.ac.be.
 

Contacts

Prof. Eric J.M. DELHEZ Institut de Mathématique, B37 Tél. 04/366.94.19 E.Delhez@uliege.be
List of assistants and their contact details available at http://www.mmm.ulg.ac.be/.

Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session

Teaching methods implemented : distance-learning

Assessment subjects

Assessment methods

Contacts

Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session

Assessment subjects

The exam will be about all the topics covered during the theoretical and practical/exercice sessions.
A list of topics presented in the course notes but excluded from the evaluation is published on the dedicated web pages (Cf list of sections of the course notes not covered).
The exam does not include any memory question. The students must be able to solve problems using the methods and concepts introduced in the course, to justify theoretically the methods used, to define the theoretical concepts and to apply abstract reasoning similar to that followed during the ex-cathedra sessions.

Assessment methods

The assessment is organized by means of a single open book written test.
The examination will be carried out distantly. The questionnaire will be sent by email on the date and time provided for in the examination schedule. Students will respond in writing to the various questions and submit their scanned copies via eCampus within the set deadlines.

Contacts

Prof. Eric J.M. DELHEZ Institut de Mathématique, B37 Tél. 04/366.94.19 E.Delhez@uliege.be
List of assistants and their contact details available at http://www.mmm.uliege.be/.