Approximating the Square Root of 5 Using Newton's Method | Single Variable Calculus | Project Ulim

Applying Newton’s Method to approximate the square root of 5, we find out how accurate of an approximation Newton’s Method gives. The paper referenced at the end of the video is by Richard D. Neidinger of Davidson College and may be found here: https://www.neidinger.net/NewtonsMethod.pdf Project Ulim aims to deliver a world-class computer science education for free. The content is adapted from the free, amazing, content put together by the MIT staff and can be found for free at https://ocw.mit.edu/. Additionally, the Single Variable Calculus content is meant to seamlessly pair with Khan Academy’s Calculus BC playlist, which can be accessed for free along with all other Khan Academy content at khanacademy.org. Project Ulim is not affiliated with MIT or Khan Academy in any capacity. This content is licensed under a Creative Commons License which is detailed down below. The following video links are links to the Khan Academy content where this video would sequence in their Calculus BC content. Watch the next lesson (Project Ulim): Approximating the roots of a cubic function using Newton’s Method Watch the previous lesson (Project Ulim): https://youtu.be/BerkmacsPJ0 Creative Commons License: https://creativecommons.org/licenses/by-nc-sa/4.0/ The content in this video was adapted from the content of Lecture 10 delivered by David Jerison and the accompanying notes in session 33 of Single Variable Calculus. The link to which may be found here: https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-1-introduction-to-newtons-method/