Lectures related to Untitled | EPFL Graph Search

Explores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.

Covers the symmetries in space-time and dynamical equations, with examples from Newtonian dynamics.

Explores work in mechanics, kinetic and potential energy, conservative forces, and the conservation of mechanical energy.

Covers variational methods to find the shortest time path for a particle under gravity.

Explores the conservation of energy using a simple pendulum example and discusses various forms of energy.

Explains how total mechanical energy remains constant over time despite forces, using mathematical equations and examples.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Explores energy conservation through practical examples, demonstrating how forces affect potential and kinetic energy transformations.

Explores central motion in a 1/r² field, focusing on trajectory determination and types of trajectories based on energy constants.

Explores work, kinetic energy, forces, and energy conservation in mechanical systems.

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

Explores momentum, impulse, work, energy, and angular momentum in advanced physics.

Explores potential energy, mechanical energy, and resonance in mechanical systems, including equilibrium, stability, and energy transformation.

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

Explores conservative forces, work, and potential energy calculations.

Explores Hamiltonian formulation and its equivalence with Euler-Lagrange equations, illustrated through examples.

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Explores gyroscopes, harmonic motion, energy of oscillation, and differential equations for oscillatory systems.

Explores quantities of movement, impulse, work, energy, and momentum, including Newton's laws and technical equation solutions.

Explores mechanical energy conservation, potential and kinetic energy relationship, laws of motion, and harmonic oscillator.