Lattice Systems: Resolution and Equilibrium

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Modeling Structures: Arches and Cables

Covers the modeling and analysis of arches and cables in structures.

Mediatrix and Bisector

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Multiple Integration: Open Bounded Domains in R²

Explores double integrals over open bounded domains in R², including convergence, limits, areas, and key inequalities.

Cables: Stabilization and Loads

Covers the construction and stabilization of cables under different loads and strategies.

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Pythagorean Theorem

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Elementary Operations in Geometry

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Ray Tracing: Fundamentals

Covers the basics of ray tracing, including ray generation, intersection with geometric shapes, and distance calculations to planes, setting the foundation for implementing a ray tracer.

Introduction to Conic Sections in Space

Covers the introduction to conic sections in space, focusing on ellipses and their properties.