Vibratory Mechanics: 2 Degrees of Freedom

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Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.

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Canonical Transformations in Analytical Mechanics

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Rectilinear Motion: Concepts and Examples

Covers rectilinear motion concepts, including acceleration and differential equations, with examples of uniform motion.

Path Integral Representation of Propagators

Covers the path integral representation of propagators for free particles and harmonic oscillators.

Equations of Motion and Stability

Explores equations of motion resolution, equilibrium points, and stability analysis through small perturbations in a mechanical system.

Differential Equations Solutions

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Second Order Equations

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Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Oscillations libres, ressort

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.