FR
EN
Mathématiques 4.1Sciences de base 4 (STPI)
8ECTS (EU)
3Coefficient
50:40Hours
Séquencement
Learning objectives
- Bringing students knowledge of linear and bilinear algebra adapted to the future engineer,
- This teaching is a prerequisite for certain basic and applied science teachings.
Prerequisites
| Module | Teaching unit | Semester |
|---|---|---|
| Mathematics 1.1 | Basic Sciences 1 | S1 |
| Mathematics 1.2 | Basic Sciences 1 | S1 |
| Mathematics 2.1 | Basic Sciences 2 | S2 |
| Mathematics 2.2 | Basic Sciences 2 | S2 |
Program
- Reduction of endomorphisms and examples of applications,
- Euclidian spaces, orthogonal projectors,
- Quadratic forms and applications in search of local extrema and study of conicals,
- Standard vector spaces, topology concepts and applications in search of extreme on a compact.
References
- C. Deschamps, F. Moulin, A. Warusfel "All-in-One Mathematics" DUNOD.
- B. Beck, I. According to "Algebra and geometry 2nd year PC-PC*-PSI-PSI*HACHETTE.
Skills
4| Ref. | Verb | Description | Level |
|---|---|---|---|
| C_1_1 | implement | reduction of endomorphism | 2 |
| C_1_1 | identify | quadratic forms | 2 |
| C_1_1 | define | orthogonal projector in Euclidian space | 2 |
| C_1_4 | calculate | extruda multivariate functions | 1 |