Multiple integrals: concepts and applications

Les intégrales multiples : concepts et applications

IN BRIEF Definition of multiple integrals: integration of functions of several real variables. Types of integrals: double integrals and triple integrals. Applications: calculation of surfaces and volumes of irregular shapes, evaluation of the mass of objects with variable density. Use in mechanics: calculation of moments of inertia by analogy with double integrals. Techniques: importance of … Read more

The interactive digital tools to visualize mathematical concepts

Les outils numériques interactifs pour visualiser les concepts mathématiques

IN BRIEF Digital tools for the virtual manipulation of mathematical concepts Interactive applications to visualize and explore mathematical concepts Digital charts (0-99 and 1-100) for cycles 1 and 2 Use of Cabri Express for interactive activities Mathies: tools to manipulate mathematical objects Customized activity paths with Mathia for students Collaborative problem bank for problem-solving Playful … Read more

Understand the concepts of topology for beginners

Comprendre les concepts de topologie pour débutants

IN BRIEF Definition of topology: study of properties invariant under continuous deformation. Introduction to topological spaces and the notion of neighborhood. Importance of limits and separation between sets. Basic concepts: normality, open and closed. Practical applications in various disciplines. Resources: recommended books and exercises for learning. Topology is a fascinating branch of mathematics that looks … Read more