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