This lecture introduces the study of mechanics, covering its structure, chapters, history, objectives, limits, and experiments. It explores differential and integral calculus, vector calculus, and key historical figures like Aristotle, Galileo, Kepler, and Newton. The lecture also delves into the importance of experiments in understanding physical phenomena, the development of mathematical models, and the limitations of theories. Additionally, it discusses the acceleration, composition of functions, and provides physical examples such as the harmonic oscillator and kinetic energy derivatives.