Graphing a Parabolic Cylinder in 3D https://youtu.be/V4UIlFWkisk In this video I introduce cylinders and quadric surfaces and then do an example graphing out a parabolic cylinder. #math #calculus #science #STEM #Geometry

Intro to Quadric Surfaces and Recap on Conic Sections https://youtu.be/NdTilhAFsXw In this video I go over a quick introduction to 3D Quadric Surfaces and recap on their 2D counterparts, Conic Sections. #math #geometry #science #calculus #STEM

Graphing an Ellipsoid in 3D https://youtu.be/30yEp-lSwM0 In this video I graph the Ellipsoid quadric surface, whose vertical and horizontal traces are all ellipses. #math #STEM #Geometry #science #GeoGebra

Graphing an Elliptic Paraboloid in 3D https://youtu.be/qIsgOTZSwwY In this video I graph an elliptic paraboloid in 3D both manually as well as using the GeoGebra 3D graphing calculator. An elliptic paraboloid has vertical traces being parabolas and horizontal…

Graphing a Hyperbolic Paraboloid in 3D https://youtu.be/rDazyk-5fi8 In this video I graph a hyperbolic paraboloid, which is a surface that has vertical traces being parabolas, and horizontal traces being hyperbolas. The shape looks like a horse's saddle.…

Graphing a Hyperboloid of One Sheet in 3D https://youtu.be/a5SxZACKsoM In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. #math #geometry #GeoGebra #STEM #science

Table of Computer Drawn Quadric Surfaces https://youtu.be/IJ0rl3jt_f4 In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid…

Graphing a Hyperboloid of Two Sheets in 3D https://youtu.be/MCSeF52Kn20 In this video I sketch a hyperboloid of two sheets, which is a quadric surface with horizontal traces being hyperbolas while vertical traces are comprised of both hyperbolas and ellipses.…

Graphing a Shifted Elliptic Paraboloid in 3D https://youtu.be/d5FrR07zAHQ In this video I graph a shifted and horizontal elliptic paraboloid, which is a quadric surface that opens up along parabolic traces while the cross-section has elliptical traces. …

Applications of Quadric Surfaces: Telescopes, Car Headlights, Microphones, Nuclear Power Plants https://youtu.be/ceWkMHHr5gw In this video I go over a quick overview of some of the many applications of quadric surfaces. #math #geometry #GeoGebra #STEM #education

Modeling Earth as an Ellipsoid https://youtu.be/N2HEZAjE54s In this video I model the Earth as an ellipsoid as used by the World Geodetic System of 1984 (WGS-84) since it is a more accurate model than a sphere. #math #geometry #Earth #science #GeoGebra