This module introduces the basic notions of algebra and set theory.
Recommended prior knowledge: Basic algebra

 

The goal of this course is to present and deepen the notions concerning the different numbering systems as well as the representation of information, whether numeric or character-based. as well as the representation of information, whether numerical or character-based. The basics of Boolean algebra are also covered in depth

The objective of this module is to familiarize students with set theory vocabulary, to introduce various methods of convergence of real sequences, and the different aspects of the analysis of functions of a real variable.
Recommended prior knowledge: High school level.

The Mechanics of Material Point course for first-year undergraduate students in MI (Mathématics and Informatic) is designed to introduce fundamental principles of particle motion and the forces that govern it. This course, "Mechanics of Material Point," aims to:

  1. Understand and describe basic kinematic quantities such as position, displacement, velocity, and acceleration in various types of motion (linear, circular, and curvilinear).

  2. Study of motion in different systems (polar, cylindrical and spherical)
  3. Apply Newton’s laws of motion to solve problems related to the forces acting on a particle and predict the corresponding motion.

  4. Identify common forces such as gravity, normal forces, tension, and friction, and analyze their effects on a particle’s motion.

  5. Utilize the work-energy theorem to compute changes in kinetic energy resulting from the application of forces over a distance.

This course emphasizes building a strong foundation in understanding how forces cause changes in motion, setting the stage for more advanced studies in physics, engineering, and related fields.