Mathematics (Upgrade)

The aims of this mathematics course are: 1. to provide a refresher on the basics, essentially at bac+2 level 2. to introduce (or revisit) mathematical tools and concepts useful to the SEE engineer.
Contents:
- Basic mathematical tools: reminders of differential and integral calculus for a function with one and several variables. Calculations with complex numbers. Trigonometry. - Functions for modeling (gate, sinc step, etc.). Functions defined by integrals (Gamma, Beta, Erf, Si, etc.). Dirac impulse. Convolution calculations. - Function spaces for signal and system modeling. - Sequences and series: Review of numerical sequences and series. Sequences and series of functions. Integer series. - Fourier series. - Laplace transforms of functions. (Direct TL of elementary functions of class L. Properties. Inverse TL by dictionary. Applications).
Notes: Some aspects will be taken up and developed in module MA106 in S6. Use of Maple software

Mathematics from the level of IUT and BTS specializing in electronics, electrical engineering, physical measurements, licence 2

- Chap1: Basic mathematical tools: Reminders of differential and integral calculus for one-variable and multivariable functions. Complex numbers. Trigonometry. Matrix calculation (properties, determinant, eigenvalues and eigenvectors, diagonalization, etc.). - Chap2 : Functions for modeling (gate, sinc step...). Functions defined by integrals (Gamma, Beta, Erf, Si ...) Function spaces for signal and system modeling. Convolution. - Chap 3: Sequences and series: review of numerical sequences and series. Sequences and series of functions. Integer series. - Chap 4: Fourier series. - Chap 5 : Laplace transform of functions. (Direct TL of elementary functions of class L. Properties. Inverse TL by dictionary. Equa.dif applications).

A course handout.