Probability
Fundamental probability course
A fundamental probability course I taught during my P.h.D. at the École normale Supérieure de Rennes for the third-year undergraduate students in mechatronics, and during my postdoctoral position in Luxembourg to first-year master's students in data science. The notes, with exercises, can be found here (in English), ou ici (en français).
Complement of probability
A supplementary course I taught during my postdoctoral position in Luxembourg to third-year undergraduate mathematics students, covering various fundamental probabilistic concepts and models (such as random walks, stopping times, Wald identities, Galton-Watson processes, etc.). These notes will be put online once I have made them more readable.
Analysis
Complement on Fourier transform
A complement on Fourier transform I taught during my P.h.D. at the École normale Supérieure de Rennes. The notes (in French), with exercises, can be found here (coming soon). I also wrote some complementary notes on function spaces and topological vector spaces, primarly to present the duality of the Fourier transform and the topology on the Schwartz space.
Algebra
Linear algebra
I wrote some complementary notes (in French) during my postdoctoral position in Luxembourg, while I was teaching linear algebra tutorials. These notes explain how to perform Gaussian elimination, in order to compute the image and the kernel of a matrix, and also the sum and intersection of two vector spaces.