Calculus 3, Geometry of space and vectors review (Fall 2019)

Vimeo (ad-free) link to same video: https://vimeo.com/658566909 Course site: https://www.calc3.org Instructor: Steve Butler (https://www.stevebutler.org) 0:00 Introduction 2:22 1 - Finding plane geometrically 9:01 2 - Parametric curve; midpoint 14:02 3 - Cumulative arc length 25:17 4 - Surfaces in cylindrical/spherical 35:09 5 - Tangent line to parametric curve 42:22 6 - Area of parallelogram 49:30 7 - Osculating plane to a curve 54:15 8 - Closest point on line 1:00:50 9 - Curvature 1:07:29 10 - Projection of parametric curve 1:14:41 11 - Decomposing acceleration 1:22:26 12 - Finding spheres geometrically 1:37:23 13 - Finding position from velocity 1:40:44 14 - Angle between intersecting curves 1:49:17 15 - Identifying quadric surfaces