Parametrizing Surfaces
In this video, I discuss parametrization of surfaces, how to visualize them and how to find their parametrization given a rectangular or spherical description of the surface. 00:00 - Introduction 01:21 - Notating a Parametric surface 01:59 - Domain of a surface 04:06 - Grid curves example- cylinder 1 06:48 - Visualizing a surface- cylinder 2 10:24 - Visualizing a surface- paraballoid 16:38 - Visualizing a surface- Cone 21:56 - Finding a parametrization example 1 25:06 - Finding a parametrization- spheres 28:17 - Example 3-Parametrizing a plane 29:45 - Finding a parametrization- inverted cone
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The Divergence Theorem
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Stokes' Theorem and Green's Theorem
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Parametric surfaces
![Section 16.6: Parametric Surfaces and Surface Area [Full Lecture]](https://i.ytimg.com/vi/3ORRp0moVSs/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYZSBlKGUwDw==&rs=AOn4CLBaMdoq-MeQDcKGPeMmRrKQlIowfw)
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Section 16.6: Parametric Surfaces and Surface Area [Full Lecture]
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Session 1: What do you mean Parametrization of a Surface and Grid curves? Examples using GeoGebra
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Why is pi here? And why is it squared? A geometric answer to the Basel problem
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