A parametric surface is a surface in the Euclidean space which is defined by a parametric equation with two parameters . Parametric representation is a very general way to specify a surface, as well as implicit representation. Surfaces that occur in two of the main theorems of vector calculus, Stokes' theorem and the divergence theorem, are frequently given in a parametric form. The curvature and arc length of curves on the surface, surface area, differential geometric invariants such as the first and second fundamental forms, Gaussian, mean, and principal curvatures can all be computed from a given parametrization. (Wikipedia).
Parametric Surfaces In this video, I give 5 examples of how to parametrize surfaces. This is similar to parametrizing a curve, except that this time you need two variables. This is an important tool for surface integrals, which is a way of integrating a function on a surface. Parametriza
From playlist Vector Calculus
From playlist Surface integrals
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Math 032 Multivariable Calculus 24 112414: Integrals of Functions on Parametrized Surfaces
Surface area of a parametrized surface; integral of a function on a parametrized surface
From playlist Course 4: Multivariable Calculus (Fall 2014)
Parametric surface from parameter space
From playlist 3d graphs
Ex 1: Surface Area of Revolution in Parametric Form
This video provides an example of how to find the surface area when a curve given by parametric equations is rotated about the y-axis. Site: http://mathispower4u.com
From playlist Parametric Equations
Multivariable Calculus | The orientation of a parametric surface with examples.
We define the notion of orientation for a parametric surface and give a few examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Ga
From playlist Multivariable Calculus | Surface Integrals
3D Graphing, 3D Camera Movement, 3D Parametric Curves & Surfaces2D | Mastering Manim Chapter 5
"The key to growth is the introduction of *higher dimensions* of consciousness into our awareness." - Lao Tzu In this video, we learn how to graph 3D Functions in Manim with Text, 3D Parametric Curves, and Parametric Surfaces TIMESTAMPS: 0:00 - Understanding Spherical Coordinates 0:51
From playlist Getting Started with Manim Cairo
Parameterizing Surfaces and Computing Surface Normal Vectors
In this video we discuss parameterizing a surface. We use two approaches, a simple approach which models a surface using a level surface as well as a robust parameterization using two independent variables. We show how both formulations can be used to compute normal vectors to the surfac
From playlist Calculus
Math 032 Multivariable Calculus 23 112114: Two Forms of Green's Theorem; Parametrized Surfaces
Explanation of the two forms of Green's theorem (proof of the flux-divergence form using the circulation-curl form). Parametrized surfaces. Grid lines. Finding tangent planes to parametrized surfaces.
From playlist Course 4: Multivariable Calculus (Fall 2014)
Multivariable calculus lecture focusing on Parameterizing Surfaces
From playlist Multivariable Derivatives
Worldwide Calculus: Parameterizing Surfaces
Lecture on 'Parameterizing Surfaces' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Multivariable Calculus
Calculus 16.6 Parametric Surfaces and Their Areas
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
23: Scalar and Vector Field Surface Integrals - Valuable Vector Calculus
Video on scalar field line integrals: https://youtu.be/WVQgEeZY_l0 Vector field line integrals: https://youtu.be/0TC4QEE56oc Video on double integrals: https://youtu.be/9AHXnRpF0n8 An explanation of how to calculate surface integrals in scalar and vector fields. We go over where the form
From playlist Valuable Vector Calculus
Surface Integral In this video, I give an example of how to calculate a surface integral, which is a way of calculating the integral under a function, but over a surface. The key to this is to parametrize the surface and turn this integral into an ordinary double integral. Lots of beautif
From playlist Vector Calculus
Calculus 2: Parametric Equations (1 of 20) What is a Parametric Equation?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a parametric equation. A parametric equation is an equation that expresses each variable of an equation in terms of another variable. Next video in the series can be seen at: https://
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Ex: Surface Area of a Parametric Surface (Surface Integral)
This video explains how to find the surface area of a parametric surface. http://mathispower4u.com
From playlist Surface Integrals
Online-Vortrag "Rund ist besser als eckig: das isoperimetrische Problem" (Livestream)
Der Vortrag beginnt bei Minute 09:03! Aufzeichnung des Livestreams.Teil der Vortragsreihe "Brücken in der Mathematik" des Exzellenzclusters Mathematik Münster, diesmal mit Prof. Dr. Anna Siffert. Darum geht es: Warum sind Pinguine in der Antarktis größer als ihre Artgenossen auf den Gala
From playlist Brücken in der Mathematik