Multilinear Regression: Basics and Applications

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

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

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.

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

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

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

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Introduces Ordinary Differential Equations (ODEs) and their applications in physics, covering basics, initial value problems, and linear ODEs.

Covers multilinear regression using least square fit method and the importance of standardizing variables.

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

Explores springs under forces using differential equations and mechanics examples.

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

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 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.

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