| Course label : | Symbolic and matrix calculations: application to Z-transform and matrix pseudo-inverse |
|---|---|
| Teaching departement : | MIN / Applied Mathematics and General Computing |
| Teaching manager : | Mister CHRISTOPHE SUEUR |
| Education language : | French |
| Potential ects : | 0 |
| Results grid : | |
| Code and label (hp) : | LE3_5_MA_MIN_CSM - Calculs symboliques et matric. |
Education team
Teachers : Mister CHRISTOPHE SUEUR
External contributors (business, research, secondary education): various temporary teachers
Summary
This course presents a deepening of the mathematical tools used in the sciences of the engineer. The goal is to know how to represent complex systems and solve problems with suitable tools
Educational goals
At the end of the course, the student will be able to: - Understand the modeling of systems: define variables, choose mathematical representations adapted (differential equations, recurrence equations ...) - Solve complex mathematical problems (large dimension) represented by equations algebraic, differential or recurrence Contribution of the course to the competency framework; At the end of the course, the student will have progressed in: - To understand a technical problem - Analyze and put in place a scientific approach of problem solving - Bring a solution to a problem - Analyze and implement a scientific approach to solving complex projects Knowledge worked: Recall: Laplace transforms Reverse transform-transform calculations: application of the residual theorem Study of transforms in Z Study of matrix functions Pseudo-inverse matrix concept Applications - case study Skills developed: - To understand a technical problem - Analyze and put in place a scientific approach of problem solving
Sustainable development goals
Knowledge control procedures
Continuous Assessment / Fixed Exam
Comments:
Online resources
Pedagogy
Teaching mainly in the classroom, in the form of TD courses.
Sequencing / learning methods
| Number of hours - Lectures : | 12 |
|---|---|
| Number of hours - Tutorial : | 12 |
| 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
- Linear algebra: Matrix calculus (determinant, characteristic polynomial) - Decomposition into simple elements - Laplace transforms