Lectures related to Hamiltonian Formalism: Harmonic Oscillator

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Numerical Analysis: Stability in ODEs

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

Material Point Model: Basics

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

Principle of Least Action

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Fourier Transform: Concepts and Applications

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Derivatives and Differential Equations

Covers trigonometric functions, derivatives, differential equations, and vector properties.