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Lecture 1 Introduction,Kinematics 1

Lecture 2 Various Coordinate Systems,Coordinate Transformation 8

Lecture 3 Newton's Laws of Motion 15

Lecture 4 Work and Energy,Conservative Force Field 20

Lecture 5 Inertial and Non-Inertial Reference System,Galileo Principle of Relativity 26

Lecture 6 Integration of Equations of Motion(Ⅰ) 31

Lecture 7 Integration of Equations of Motion(Ⅱ):Velocity-Dependent Force 37

Lecture 8 Integration of Equation of Motion(Ⅲ):Position-Dependent Force 45

Lecture 9 Analytical Mechanics 52

Lecture 10 Lagrangian Equation 59

Lecture 11 Variational Principles of Mechanics 66

Lecture 12 Symmetry and Conservation Law 72

Lecture 13 Lagrangian Undetermined Multipliers 78

Lecture 14 Hamiltonian Equations of Motion 85

Lecture 15 Canonical Transformation,Hamilton-Jacobi Equation 91

Lecture 16 Poisson Bracket,Phase Space and Liouville's Theorem 97

Lecture 17 Motion in Central Force Field 103

Lecture 18 Effective Potential and General Solutions 109

Lecture 19 Inverse Square Law of Force 115

Lecture 20 Stability of Orbits and Perturbations 121

Lecture 21 Applications of Central Force Motion 128

Lecture 22 Scattering Problem 134

Lecture 23 Force Law and Scattering Cross Section 140

Lecture 24 Motion in Non-Inertial System 147

Lecture 25 Applications of Non-Inertial System 153

Lecture 26 Free Harmonic Oscillation 161

Lecture 27 Damped Harmonic Oscillation 167

Lecture 28 Forced Oscillation 175

Lecture 29 Harmonic Oscillators in Two and Three Dimensions 182

Lecture 30 Generalizations and Applications of Linear Oscillation Theory 189

Lecture 31 Concept of Nonlinear Oscillation 195

Lecture 32 Solutions of Nonlinear Oscillation(Ⅰ) 202

Lecture 33 Solutions of Nonlinear Oscillation(Ⅱ) 209

Lecture 34 Chaotic Oscillations 215

Lecture 35 Two Coupled Oscillators and Their Normal Coordinates 221

Lecture 36 General Theory of Small Oscillation(Ⅰ) 227

Lecture 37 General Theory of Small Oscillation(Ⅱ) 233

Lecture 38 Vibration of Molecule,Energy Dissipation and Absorption 240

Lecture 39 Vibration in Continuous Medium:Wave 246

Lecture 40 Propagation and Energy of Wave,Longitudinal Wave 253

Lecture 41 Description of Rigid Body Motion 259

Lecture 42 Principal Axes Transformation and Inertia Ellipsoid 266

Lecture 43 Euler's Equation of Motion,Symmetrical Top 273

Lecture 44 Fluid 282