Lectures related to Linear Equations and Matrices

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Explores elementary linear algebra concepts related to matrices, including invertible connections and matrix rank.

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Explores static objects, gravitational forces, and their effects on objects in physics.

Covers the basics of linear algebra and systems of equations with exercises and IT tools for support.

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.