  This article presents some technical and pedagogical considerations about a
series of videos made by the authors to teach elementary theory of differential
equations. Intended to be a pedagogical support for undergraduate students of
scientific curricula, these videos provide rigorous mathematical contents in a
form that takes into account the specificities of the tool. Videos for teaching
mathematics should be seen as a specific way for providing rigorous scientific
content to learners, and should not be reduced to oral manuals or standard
classroom lessons. Research Contribution: Arij Bouzelmate and Beno{\^i}t
Rittaud are searcher and teacher in mathematics. Arij Bouzelmate is a
specialist in partial differential equations and director of LaR2A. Beno{\^i}t
Rittaud is a specialist in discrete mathematics and is involved in
popularization of mathematics.
