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MATH-F204

Mécanique analytique

academic year
2021-2022

Course teacher(s)

Frank FERRARI (Coordinator) and Glenn BARNICH

ECTS credits

10

Language(s) of instruction

french

Course content

First semester: Calculus, elements of vector analysis; kinematics, kinetics and dynamics of systems of point particles and applications (two-body problem, central force, ...); kinematics of rigid bodies, application to non-inertial frames; kinetics and dynamics of rigid bodies.

Second semester: Lagrangian and Hamultonian formulations of mechanics; motion of charged particles in an electromagnetic field.

Objectives (and/or specific learning outcomes)

Introduction to vector analysis. Teaching of the foundations and methods of mechanics (Newtonian mechanics and analytical mechanics in the Lagrangian and Hamiltonian formalisms), the mathematical theory of the motion of material bodies and, more generally, of the temporal evolution of dynamical systems.

Prerequisites

Required courses

Teaching methods and learning activities

Q1: Lectures given online and exercices

Contribution to the teaching profile

Learn basic skills in a related domain: physics. Understand the role played by mathematics in this context.

References, bibliography, and recommended reading

second semester: lecture notes available on the web site "L'Université Virtuelle"

Course notes

  • Université virtuelle

Other information

Contacts

Frank Ferrari (frank.ferrari@ulb.ac.be)

Glenn Barnich (gbarnich@ulb.ac.be)

Campus

Plaine

Evaluation

Method(s) of evaluation

  • Other

Written tests on both theory and exercices

Mark calculation method (including weighting of intermediary marks)

For students following both semesters, the final mark is obtained by adding the marks of the first and second semesters with an equal weight. Partial notes higher than 10 are transferred between sessions.

Language(s) of evaluation

  • french

Programmes