Mathematical engineering techniques 1

The aim is to present the mathematical calculation methods that are essential for electronic engineers and that students will need to master. These methods will be reinvested in other disciplines such as electronics, signal mathematics, physics, etc.
Chap1. Functions for modeling.
Chap 2. Laplace transform
Chap 3. Fourier series
Chap 4. Fourier transform

1st cycle mathematics (Prep, L1 L2)

Chap1. Functions for modelling.

Heaviside, sinc...
Special functions: Gamma, Beta, Erf...
Dirac impulse
Function spaces
Convolution
Applications, including signal and system modeling.

Chap 2. Laplace transform

Definitions, TL properties of functions (Laplace variable p is real).
Applications, including solving differential equations and transients.

Chap 3. Fourier series

Definitions, properties.
Applications, including solving differential equations.

Chap 4. Fourier transform

Definitions and properties of the TF of L1 and L2 functions.
TF of the Dirac impulse and the comb
Applications, including indirect convolution calculation, solving differential equations.

Course and TD handouts. Recommended books:

"Exercices et problèmes de mathématiques pour l'ingénieur" Y. Leroyer and P. Tesson, Ed. Dunod.
"Fourier analysis. Théorie et applications pour l'ingénieur et la phycisien" P.Struillou, Ed. Ellipses.
"Eléments de mathématique du signal" H. Reinhard, Ed. Dunod.