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MATHEMATICS FOR MECHANICAL ENGINEERING

Code Cours
2324-Icam-I1S2-GM-1MA
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Establishment
Icam
Teaching content
Mechanical engineering
Training officer(s)
A.HUBERT
Stakeholder(s)
A.HUBERT
Level
Diplôme d'ingénieur
Program year
1
Period
S2

Présentation

Prerequisite
Linear algebra, differential equations
Knowledge of operators : gradient, divergence, rotation, Laplacian
Goal
Students are to understand the concepts behind the tensorial method and its practical use in mechanical calculation. Moreover, the courses aim at making them more familiar with problems related to numerical analysis.
Presentation
Course :
- Application of tensors, matrix calculation (solving of linear systems) of eigenvalues and eigenvectors to the solving of mechanical problems
- Formulas of vector analysis with operators (flux, circulation)
- Numerical integration of differential equations (Euler method)
- use of a scientific calculation software (decomposition, LU-Factorization, solving of differential equations of an oscillating system’s motion )

Modalités

Organization
Type Amount of time Comment
Face to face
Lecture 8,00
Independent study
Estimated personal study time 9,00
Overall student workload 17,00
Evaluation
- Lecture
- Practical work

- Written test mark
- Practical work average mark

Ressources

Bibliography
Analyse harmonique : mathématiques pratiques. Paris : Ellipses, 1997, coll. Technosup - - B. Rossetto.
Analyse numérique matricielle appliquée à l’art de l’ingénieur, tomes 1 et 2. Paris - - P. Lascaux, R. Theodor.Dunod, 2004, coll. Sciences Sup