Lectures related to Multilinear Regression: Basics and Applications

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explains how to solve linear equations using the least squares method to minimize errors in the system.

Explores springs under forces using differential equations and mechanics examples.

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.

Introduces General Physics I, focusing on Newtonian mechanics and the course format with pre-recorded lectures and live quizzes.

Explores projectile motion with friction effects and dynamics of polar expeditions.

Explores the physics of a point particle sliding on a curved surface without friction, focusing on differential equations, forces, and dynamics.

Covers auto-encoders, linear systems modeling, system identification, and recursive least squares.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

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

Explores the mechanics of a helix under gravity, studying equilibrium shapes and solving differential equations for helix components.

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

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

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

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

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Covers the basics of Maxwell's equations, describing the behavior of electric and magnetic fields.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.