This Calculus 3 video explains quadric surfaces: equations, examples, traces, and pictures of these surfaces. We show the general form for a quadric surface and then describe in detail how to think about ellipsoids, cones, paraboloids, hyperbolic paraboloids, hyperboloid of 1 sheet, and hyperboloid of 2 sheets.
0:00 Introduction & General Form
1:43 Ellipsoids
4:52 Cones
7:30 Paraboloids
9:43 Hyperbolic Paraboloids
12:02 Hyperboloid of 1 Sheet
14:02 Hyperboloid of 2 Sheets
Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8
Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep
