FR
EN
Mathématiques 3.1Sciences de base 3 (STPI)
8ECTS (EU)
2Coefficient
49:20Hours
Séquencement
Learning objectives
- Develop skills in reasoning and argumentation, calculation and modelling,
- Further study of the mathematical analysis indispensable to engineering sciences by valuing links with other disciplines.
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
- Inadequate integrals,
- Digital series,
- Suites and function series,
- Series of Fourier,
- Whole series,
- Transformed from Laplace.
Assessment
2 continuous 2-hour checks
References
- C. Deschamps, F. Moulin, A. Warusfel, et al., "Mathematics in a MP*", Dunod.
- F. Butin, M. Picq, J. Pousin, "Mathematics, courses and corrected exercises – 2nd year of integrated preparatory classes", Ellipses.
Skills
5| Ref. | Verb | Description | Level |
|---|---|---|---|
| C_1_1 | analyze | Analyze the nature of an improper integral or digital series | 3 |
| C_1_1 | calculate | Calculate the Laplace transformation of a function and use the Laplace transform to solve equations | 2 |
| C_1_1 | calculate | Calculate the Fourier series of a function | 2 |
| C_1_1 | demonstrate | Demonstrate the nature of the convergence of a sequence or series of functions | 3 |
| C_1_1 | calculate | Conduct whole series study and mobilise this tool for the resolution of linear differential equations | 2 |