| Weeks | Topics |
| 1 |
Introduction, Newton’s Laws, The Equation of Motion for a Particle.
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| 2 |
Oscillations, Simple Harmonic Oscillators, Harmonic Oscillations in Two Dimensions, Phase Diagrams.
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| 3 |
Damped Oscillations, Sinusoidal Driving Forces, Physical System, Principle of Superposition
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| 4 |
Lagrangian Dynamics, Hamilton’s Principle, Generalized Coordinates.
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| 5 |
Lagrange’s Equations of Motions in Generalized Coordinates.
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| 6 |
Lagrange Equations with Undetermined Multipliers. Equivalence of Lagrange’s and Newton’s Equations.
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| 7 |
Essence of Lagrangian Dynamics, A Theorem Concerning the Kinetic Energy, Conservation Theorems Revised, Problems.
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| 8 |
Canonical Equations of Motion.
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| 9 |
Midterm Exam
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| 10 |
Central Force Motion, Reduced Mass, Conservations Theorems-First Integrals of the Motion,
Equations of Motions.
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| 11 |
Orbits in a Central Field, Centrifugal Energy and the Effective Potential.
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| 12 |
Planetary Motion-Kepler’s Problem, Orbital Dynamics, stability of Circular Orbits.
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| 13 |
Dynamics of Rigid Bodies, Simple Planar Motion, Inertia Tensor, Angular Momentum.
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| 14 |
General Problem of Coupled Oscillations, Normal Coordinates, Molecular Vibrations.
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