Lectures related to One-Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Path Integral Representation of Propagators

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

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

Canonical Transformations: Hamilton-Jacobi Equation

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Forced Harmonic Oscillator: Resonance

Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.

Law of Hooke Applications: Spring Problems

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

Hamiltonian Formalism: Conservation Laws

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Circular Motion and Harmonic Oscillator

Explores circular motion, harmonic oscillators, and double springs, elucidating the physics principles behind them.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Harmonic Oscillators: Equations, Damping, and Resonance

Explores harmonic oscillators, damping effects, forced oscillations, and resonance phenomena in various systems.

Ordinary Differential Equations: Second Order

Explores the resolution of second-order linear ODEs with constant coefficients and various source terms.

Differential Equations in Motion

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

Harmonic Oscillator and Hooke's Law

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.

Vertical Oscillator Equations and Energy Potentials

Explores vertical oscillator equations, energy potentials, simple pendulum behavior, and the Foucault pendulum.

Ordinary Differential Equations: Second Order Linear Inhomogeneous

Covers the resolution of second-order linear ordinary differential equations with constant coefficients and a source term.

Ordinary Differential Equations

Covers ordinary linear homogeneous differential equations of the second order with constant coefficients.