These Lectures have for goal to introduce the first part of Newtonian Mechanics course (Physics I) taught to first year students enrolled in the Department of MI, in Mouloud Mammeri University of Tizi ouzou,. In order to familiarize students with the use of several basic mathematical tools, such as vectors, differential operators and differential equations, it first presents the elements of vector analysis that are needed in the subsequent chapters (kinematics, dynamics, work and energy).