Trapezoid Rule Theory & Intuition | Numerical Methods

In this comprehensive video, we delve into the fundamental concepts of the Trapezoid Rule – a crucial technique in Numerical Methods. The trapezoid rule (sometimes called the trapezoidal rule) is another numerical integration method that we will explore. The Trapezoid Rule is more than just a numerical technique – it's a gateway to grasping the broader concept of approximating definite integrals. By mastering this fundamental method, you'll pave the way for a deeper comprehension of advanced numerical techniques and their real-world applications.

This timeline is meant to help you better understand how to use the trapezoid rule: 0:00 Introduction 0:23 Introduction to the trapezoid rule. 1:30 Reminder of how to find a trapezoid’s area. 2:20 Developing Trapezoid Rule Equations. 5:08 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 #numericalmethod ... https://www.youtube.com/watch?v=XMjlr_7IUl0