This course is an in-depth exploration of differential equations and systems of ODEs. Fundamental concepts such as vector norms, subspaces, bases, and open and closed balls will be thoroughly detailed. Then, the students will explore the notions of convergence and equivalence between norms. The course also covers Topology by introducing fundamental concepts such as open and closed sets, adherent points, interior and boundary points. Then, a significant portion of the course is devoted to studying functions of several variables to explore concepts such as extrema and implicit functions. Finally, students learn how to calculate double and triple integrals using various methods such as Cartesian, polar, and cylindrical coordinates. The concepts and techniques studied in this course are essential for developing advanced analytical skills and solving complex mathematical problems.

Temps présentiel : 45 heures

Charge de travail étudiant : 105 heures

Méthode(s) d'évaluation : Appréciation de stage, Examen final, Examen partiel, Participation et assiduité, Travaux pratiques contrôlés