Osculating curve

Multivariable Calculus | The Normal and Osculating Planes

We give the example of the normal and osculating planes of a given curve and calculate a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

11_6_1 Contours and Tangents to Contours Part 1

A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.

From playlist Advanced Calculus / Multivariable Calculus

A Visual Intro to Curves and the Frenet Frame

Our submission for the Summer of Math Exposition 2 #some2. Topics: An introduction to the Mathematics of differential geometry of plane and space curves, leading up to the Frenet Frame, and Frenet-Serret Formulas and the Fundamental Theorem of Space Curves. Content: 0:00 Introduction, Mot

From playlist Summer of Math Exposition 2 videos

Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an

From playlist Maths Topics

Tangent Line of Curve Parallel to A Line Calculus 1 AB

I work through an example to explain how to find tangent lines to a function that are parallel to a given line. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channe

From playlist Calculus

The Beauty of Bézier Curves

Bézier curves - how do they do? They're used for animation, text rendering, and all sorts of curved shapes! But how do they actually work? well, like, that's what the video is about, so, watch it to find out etc!! • Lots of love to 💛 Jazz "queenjazz" Mickle for making the music ❱ https:

From playlist Summer of Math Exposition Youtube Videos

Daniel T. Wise - 4/6 CAT(o) Cube Complexes

From playlist Summer School 2019: Aspects of Geometric Group Theory

Why there are no perfect maps (and why we eat pizza the way we do)

Have you ever wondered why you've never seen a perfect map? Or why bending the side of your pizza keeps the toppings from falling off? Surprisingly, these two everyday phenomena can be explained by one abstract mathematical theorem: Gauss' amazing Theorema Egregium. This video is a submi

From playlist Summer of Math Exposition 2 videos

Intuition for Curvature | Nathan Dalaklis

Today's video is a bit shorter than others. There is a lot going on, so I wanted to give a bit of intuition for a topic I find interesting; Curvature. In this video, we will go through a few formulas of curvature and compute curvature for a couple of examples, and I'll briefly mention diff

From playlist The First CHALKboard

Geometric and algebraic aspects of space curves | Differential Geometry 20 | NJ Wildberger

A space curve has associated to it various interesting lines and planes at each point on it. The tangent vector determines a line, normal to that is the normal plane, while the span of adjacent normals (or equivalently the velocity and acceleration) is the osculating plane. In this lectur

From playlist Differential Geometry

Differential Geometry | Math History | NJ Wildberger

Differential geometry arises from applying calculus and analytic geometry to curves and surfaces. This video begins with a discussion of planar curves and the work of C. Huygens on involutes and evolutes, and the related notions of curvature and osculating circle. We discuss involutes of t

From playlist MathHistory: A course in the History of Mathematics

Exponential derivative visual

A visual of the derivative of f(x)=e^x. We show how to think about the derivative of a function visually. #manim #calculus #derivatives #derivative #tangentline #slope #parabola #mathvideo #mathshorts #math #visualmath #graph #exponential #linearapproximation

From playlist MathShorts

Tangent to curve of vector function example

Free ebook http://tinyurl.com/EngMathYT A tutorial on how to calculate the (unit) tangent vector to a curve of a vector function of one variable.

From playlist Engineering Mathematics

The Equation of a Tangent Plane to a Surface (Relating to Tangent Line)

This video introduced how to determine the equation of a tangent plane to a surface. http://mathispower4u.com

From playlist Normal Vectors and Tangent Planes to Functions of Two Variables

Marvels of Space-Time | Episode 705 | Closer To Truth

Einstein showed that space and time are essentially the same thing-a single entity, space-time. But space and time seem so radically different. How could space and time be literally the same thing? Featuring interviews with Max Tegmark, J. Gott, Juan Maldacena, Fotini Markopoulou, and Joh

From playlist Closer To Truth | Season 7

Logistic Growth Function and Differential Equations

This calculus video tutorial explains the concept behind the logistic growth model function which describes the limits of population growth. This shows you how to derive the general solution or logistic growth formula starting from a differential equation which describes the population gr

From playlist New Precalculus Video Playlist

Part II: Vector Calculus, Lec 2 | MIT Calculus Revisited: Multivariable Calculus

Part II: Vector Calculus, Lecture 2: Tangential and Normal Vectors Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Multivariable Calculus

Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers

We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www

From playlist Vector Calculus for Engineers