This course covers all the fundamental aspects of Newtonian mechanics, taught during the first semester of the university curriculum (ST and SM tracks), in accordance with the official LMD program. Special attention has been given to the presentation style, favoring a simple presentation of various concepts supplemented with illustrations, remarks, additional information, and application examples as needed.
• The first chapter provides mathematical review on dimensional analysis, errors and uncertainties, as well as vector algebra. The concepts acquired in secondary education, presented more rigorously with appropriate notations in this chapter, are essential for understanding the subsequent material.
• The second chapter deals with the kinematics of material points and change of reference frames. Concepts of reference frames, coordinate systems, and coordinate transformations are clearly explained and applied to different types of translational motion, characterized by position, velocity, and acceleration vectors.
• In the third chapter, the fundamental laws of Newtonian mechanics are presented. The dynamics of material points is addressed through the description of common forces encountered in mechanics problems. The concept of angular momentum is also introduced.
• In the fourth and final chapter, the concepts of energy and work, as well as the kinetic and mechanical energy theorems, are presented as alternatives to studying material point dynamics by directly linking forces to the mass and velocity of the material point.
- Enseignant: leyla amel hadj kaddour