1.
Here is a nice parametric surface plotter 1 .Play around with it for a few different parametric plots, and try to build some intuition for how changes to the description change the surface
Section 5.1 Describing Surfaces Explicitly, Implicitly and Parametrically
Let's begin by just seeing the three ways to describe a surface: explicitly, implicitly, and parametrically. Some surfaces like the cone we will see in this video can be reasonably described in multiple ways. In others, the surface is more naturally described using use one of the methods, and specifically when parameterizing a surface we are often trying to look for natural symmetries to exploit in our description.
Learning Objectives:
- Describe a surface implicitly, explicitly, and parametrically
- Convert between a graphical representation of a surface and an algebraic one
Post-Video Activities Post-Video Activities
www.geogebra.org/m/BjV7cNwb
