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Lecture
Sphere, Cone, and Cylinder: Descriptive Geometry
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Conic Sections: Ellipse, Hyperbola, Parabola
Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.
Descriptive Geometry: Cones and Cylinders
Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.
Intrinsic Geometry of Regular Surfaces
Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.
Surfaces in Geometry
Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Conic Synthesis in the Plane
Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Sphere, Cone, and Paraboloid
Explores the intersection of a sphere, cone, and paraboloid in 3D space.
Surface Integrals: Regular Parametrization
Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.