| Course label : | Mathematics for fluid dynamics |
|---|---|
| Teaching departement : | CMA / |
| Teaching manager : | Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND |
| Education language : | |
| Potential ects : | 2 |
| Results grid : | |
| Code and label (hp) : | MR_TUR_CMA_MFD - Mathematics for fluid dynamics |
Education team
Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers
Summary
The aim of this course is to ensure that students master the fundamental mathematical notions used in fluid mechanics and expend as much as possible their knowledge in mathematics. Ideally, they should also acquire notions that will be used in numerical analysis, signal processing and machine learning. The topics covered are as followed: - Analysis (Integration, derivation, Fourier transform and series, in link with linear algebra) - Linear algebra (vector space and Euclidean vector space), linear mapping (matrices, inversion and diagonalization) - Complex number analysis -Differential equations (ordinary and elliptic problems) - Vector calculus and tensorial notations
Educational goals
At the end of the course, the student will be able to -perform the classical calculations appearing in fluid mechanics with an emphasis on understanding rather than application of recipes. -Understand the notions behind numerical analysis.
Sustainable development goals
Knowledge control procedures
Final Exam
Comments: The evaluation will be done by a terminal exam.
Online resources
Lecture notes, lecture slides, textbooks available in the master library
Pedagogy
Flipped classroom, lectures and tutorials.
Sequencing / learning methods
| Number of hours - Lectures : | 20 |
|---|---|
| Number of hours - Tutorial : | 10 |
| Number of hours - Practical work : | 0 |
| Number of hours - Seminar : | 0 |
| Number of hours - Half-group seminar : | 0 |
| Number of student hours in TEA (Autonomous learning) : | 0 |
| Number of student hours in TNE (Non-supervised activities) : | 0 |
| Number of hours in CB (Fixed exams) : | 0 |
| Number of student hours in PER (Personal work) : | 0 |
| Number of hours - Projects : | 0 |
Prerequisites
Undergraduate mathematics and mechanics