Introduction to model category structures, ETH Zurich
2018 - 2020
Abstract: The goal of this seminar is to get an introduction to model structures through different examples
such as topological spaces, simplicial sets or chain complexes. To get further into this theory, we develop
the notion of derived functors with applications to homotopy limits and colimits. This seminar is destined
to master students and takes the form of a working group. The participants have to give didactic
Mathematics for engineers, Exercise sessions (12 hours), Paris 13
2015 - 2016
Abstract: This course is destined for students in telecommunication with alternating practical periods in
a company. The goal is to introduce basic notions of arithmetic progressions, series, function series, power
series as well as the theory of integration. At the end of this course, students are expected to be familiar
with Fourier series and their applications to signal processing.
Analysis, Lectures/Exercise sessions (72 hours), Paris 13
2015 - 2016
Abstract: This course is split into three parts. First, we remind the students of the notions of complex
numbers and roots of unity. Then we introduce abstract notions of functions as graphs and the study of
usual functions (exponential, logarithm, trigonometric functions...). Finally, the last part is devoted to the
theory of integration and differential linear equations of rank 1.
Formal language, Lectures/Exercise sessions (42 hours), IUT of Villetaneuse
2012 - 2015
Abstract: This course is split into three parts. The first one consists in introducing some basic notions
of logic (such as propositions, quantifiers, predicates...). The purpose is to get the students accustomed
to the mathematical language. Thereafter, we introduce different ways to proof statements (by induction,
reduction to absurdity, case-based reasoning...). The last part is devoted to the notions of partial/total
orders, equivalence relations and a short introduction to graph theory.
Graphs and languages, Lectures/Exercise sessions (42 hours), IUT of Villetaneuse
2013 - 2015
Abstract: This course follows up the previous one about the formal language. The purpose is to get
the students in computer science accustomed to algorithms used in graph theory such as the four color
algorithm. The students are expected to be able to program basic algorithms in C++ and to program
automata that recognizes strings containing some patterns.
Linear algebra, Exercise sessions (36 hours), IUT of Villetaneuse
2012 - 2013
Abstract: This course is destined for students in computer science. The purpose is to get the students to
accustomed to algorithms such as Gaussian elimination, linear regression... First, we give the definitions of
vector spaces and linear maps. Then, we introduce the notions of systems of linear equations and matrices
using the geometrical point of view (intersections of hyperplanes). We also introduce the determinant,
rank-nullity theorem and basis completion theorem.