1 Definition of Multibody System -- 2 Fundamental Concepts in Multibody Dynamics -- 3 Global and Local Coordinates -- 4 Euler Angles, Bryant Angles and Euler Parameters -- 5 Angular Velocity and Acceleration -- 6 Vector of Coordinates, Velocities and Accelerations -- 7 Kinematic Constraint Equations -- 8 Basic Constraints between Two Vectors -- 9 Kinematic Joints Constraints -- 10 Equations of Motion for Constrained Systems -- 11 Force Elements and Reaction Forces -- 12 Methods to Solve the Equations of Motion -- 13 Integration Methods in Dynamic Analysis -- 14 Correction of the Initial Conditions -- 15 Demonstrative Example of Application.