# Teaching

Differential calculus: I have given 30 hours of tutorials about differential calculus to students in their third years of bachelor in mathematics. I have teached the calculus rules about the differential of a vectorial function, the unconstrained optimization.

Probability: I have given 30 hours of tutorials about the probability theory to students in their third years of bachelor in mathematics. I have teached the transfert, the theorem of Fubini, the change of variable which permits to obtain the law of $$\varphi(X)$$ when $$\varphi$$ is a $$C^1$$-diffeomorphism and $$X$$ a random vector of $$\mathbb{R}^n$$ which law is known. We have also teached the independance between random variables, and the diferent notions of convergence of the random variables. The objective of this curse was to provide students whith the theorical tools about probability to help them to prepare a master in probabilities or in statistics.

Nonlinear differential systems : I have given 30 hours of tutorials about the probability theory to students in their second year in bachelor in biologics. I have teached about the stability of a differential system around an equilibrium point. For some differential systems like Lotka-Volterra equation, we have done a study more precise than the stability. For example we have shown the periodicity of the solution of this differential system. The main objective of this curse was to provide students in Biology the tools to study the population dynamicals.