For doctoral and postgraduate students majoring in Mechanical Engineering, this course mainly includes the basic concepts and principles of Analytical Mechanics, covering both Analytical Statics and Analytical Dynamics. As a less-study course, the emphasis of this course is on complete constraint systems, while non-holonomic constraint systems will be mentioned briefly. The purpose of this course is to enable students to understand and master the basic principles and methods of Analytical Mechanics to solve related mechanical problems in science and engineering, and to improve the basic mechanical literacy of students in this major.