Lectures related to One-Dimensional Harmonic Oscillator

Covers ordinary linear homogeneous differential equations, focusing on the harmonic oscillator equation and its solutions.

Hamiltonian Formalism: Harmonic Oscillator

Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.

Vibratory Mechanics: Continuous Systems

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.