Geometry: Solving Equations and Topological Transformations

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Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Introduces the EPFL project based learning approach for optimizing energy systems through theory, project tasks, and tools.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Explores the radiation impedance of a piston on a screen using COMSOL Multiphysics, focusing on resistance, mass, and impedance expressions.

Explores orthogonal projection on straight lines in analytic geometry, focusing on projection matrices and symmetrical properties.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores methods for solving linear systems and building solutions step by step.

Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Covers first-order differential equations, including linear equations and applications in physics.

Explores operations and applications of linear algebra in solving equations and transformations.