Teaching Contents and Syllabus：The following topics to be covered in this course:1. Vectors and tensor. Scalar, vector and tensor products. Second order tensors.2. Coordinate systems. Differential geometry of curves, surfaces and three dimensionalmappings.3. Basis principles of dynamics. Newton’s laws for particles and systems of particles.4. The geometric description of rotations. Euler angles. Time and spatial derivatives.5. Kinematics of rigid bodies.6. Kinetics of rigid bodies.7. Variational and energy principles in dynamics.

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Grading：10 Homework Assignments 40%4 Quizzes 40%1 Final exam 20%TOTAL 100%

• 参考文献：References：[1] H. Baruh. Analytical Dynamics. McGraw-Hill Book Company, New-York, 1999.[2] E.J. Haug. Intermediate Dynamics. Prentice Hall, Inc., Englewood Cliffs, New Jersey,1992.[3] J.H. Ginsberg. Advanced Engineering Dynamics. Cambridge University Press, Cam-bridge, second edition, 1998.[4] R.B. Bhat and R.V. Dukkipati. Advanced Dynamics. Narosa Publishing House, NewDelhi, 2001.[5] H. Josephs and R.L. Huston. Dynamics of Mechanical Systems. CRC Press, BocaRaton, 2002.[6] C. Lanczos. The Variational Principles of Mechanics. Dover Publications, Inc., NewYork, 1970.[7] L. Meirovitch. Methods of Analytical Dynamics. McGraw-Hill Book Company, NewYork, 1970.[8] T.R. Kane. Dynamics. Holt, Rinehart and Winston, Inc, New York, 1968.[9] D.T. Greenwood. Classical Dynamics. Dover Publications, Inc., New York, 1977.[10] M. G′eradin and A. Cardona. Flexible Multibody System: A Finite Element Approach.John Wiley & Sons, New York, 2001.[11] F.M.L. Amirouche. Computational Methods in Multibody Dynamics. Prentice-Hall,nglewood Cliffs, New Jersey, 1992