Below is a full set of notes to "Classical Mechanics" by Taylor, the books with the same title by Morin and Goldstein, and "Integrable Systems" by Babelon.
Full Notes (By Sections of the Textbook)
The main source of these notes is Taylor's "Classical Mechanics" with the main goal of being an introduction to the basic theory of classical mechanics.
Lesson 1: Space, Time, Mass, and Force
We discuss here a brief historical timeline of classical mechanics as well as the four fundamental concepts which underly Newton's amazing theory of mechanics. We discuss the algebraic and differential aspects of vectors in three dimensional Euclidean space as well as the many different notations which are typical in the subject. We briefly discuss the key assumptions of classical mechanics, such as a universal time for all inertial reference frames, and how to think about the ideas of mass and force.