Multilinear Regression: Basics and Applications

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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.