Introduction To Numerical Differentiation | Numerical Methods

Welcome to the newest section of our numerical analysis course. In this video we will be walking through an Introduction To Numerical Differentiation. Numerical differentiation allows us to approximate the derivative of a function using the numerical methods that we’ve been learning throughout this course. Essentially, we'll be using the power of computers and algorithms to estimate derivatives where solving it by hand analytically was impossible or not ideal. In this video we will introduce the idea of finite difference methods, however, the theory and example for these methods will be given in future videos.

This timeline is meant to help you better understand an Introduction To Numerical Differentiation: 0:00 Introduction 0:25 What is Numerical Differentiation? 0:58 How to apply Numerical Differentiation? 1:57 What to do with noisy data in Numerical Numerical Differentiation 2:47 Outro

Relevant Numerical Methods Playlists: Numerical Methods Playlist: https://www.youtube.com/watch?v=F2NWYEOHIkc&list=PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52 Numerical Methods Examples Playlist: https://www.youtube.com/watch?v=UA7bzwCwHMI&list=PLDea8VeK4MUTxZGOTG-VNnW4T3TYwlEc9

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. #studysession #numericalanalysis #numericaldifferentiation ... https://www.youtube.com/watch?v=-3MwUJCDjts