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Lecture
Vector Operations: Planes and Lines
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Analytical Geometry: Mixed Product and Determinant
Covers the analytical expression of the mixed product and its applications.
Vector Equations and Normal Equations
Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.
Surface Normals: Vector Analysis
Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.
Analytical Geometry: Lines Study
Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Analytical Study of Lines in the Plane
Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.
Analytical Study of Plan: Points, Lines
Covers the analytical study of the plan, focusing on points and lines.
Analytical Geometry: Midpoint, Equations, Projections
Explores midpoint, equations, angles, and projections in analytical geometry.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.