Lectures related to Variational Methods: Shortest Time Path Problem

Kinetic Energy of Rotating Discs and Bars

Covers kinetic energy, motion equations, and modeling of rotating discs and bars.

Variational Calculus and Least Action Principle

Covers the principle of least action and variational calculus in discovering equations of motion.

Multilinear Regression: Basics and Applications

Covers the basics of multilinear regression and its application in analyzing material properties.

Maximum Entropy Principle: Stochastic Differential Equations

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.

Dynamic Systems: Springs and Forces

Explores springs under forces using differential equations and mechanics examples.

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.

Lagrange Method

Covers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.

Conservation of Energy: Work and Potential Energy

Explores conservative forces, work, and potential energy calculations.