Newton's Method
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Lesson Summary:
In this lesson, you will learn about Newton's Method, an algorithm for computing increasingly accurate approximations to a root of a function. The lesson takes several examples to help you understand the method better. You'll see how to use it to solve for the square root of 3, find points of intersection of two graphs, find the radius of a circular arc, and more. You'll also learn about the Newton's method theorem and quadratic convergence.
Lesson Description:
Learn about Newton's Method and how to use it.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Additional Resources:
- Differentials - Practice with Differentials.
- Newton-Raphson Approximations - Practice with Newton's Method.
Questions answered by this video:
- What is Newton's Method?
- How can you approximate the root of a function?
- How does Newton's Method work?
- What is the formula for Newton's Method?
- How do you use Newton's Method on a calculator?
- How can you use Newton's Method to find intersection points between curves?
- How do you find the radius of a circular arc between two points?
- How do you use Newton's Method to find the minimum value of a polynomial?
- What is the Newton's Method Theorem?
- How accurate is each step of Newton's Method?
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Staff Review
This topic of this video is Newtonâs Method. It explains how the method works and how to actually use it to approximate the root of a function. Several very different applications of Newtonâs Method are shown and explained as well. The method of actually using Newtonâs Method on the calculator is shown, and you can see how accurate this method is along with what constraints come with it. -
