Lectures related to Hamiltonian Formalism: Harmonic Oscillator

Explains the Gauss-Jordan reduction method for solving linear equations using augmented matrices.

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Explores solutions of the Schrodinger Equation for different systems and discusses wave-particle duality, energy states, and quantum effects.

Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.