In this video we're going to unravel the fascinating concept of Simpson’s 1/3 Rule, an essential technique in numerical integration, along with its derivation. Whether you're a student, an enthusiast, or a curious mind seeking to enhance your mathematical understanding, this video is tailored just for you.
Key Points Covered:
- Gain an intuitive grasp of how this rule approximates definite integrals through the division of intervals and quadratic polynomials.
- Dive deep into the derivation process, breaking down the mathematical steps and logic behind Simpson’s 1/3 Rule.
- Receive practical tips and insights for effectively implementing Simpson’s 1/3 Rule in your own numerical integration tasks.
This timeline is meant to help you better understand Simpson’s 1/3 Rule Theory & Derivation:
0:00 Introduction
0:23 Introduction to the Simpson’s 1/3 rule.
2:07 General Definite Integral Of 2nd Order Polynomials
6:06 Developing Simpson’s 1/3 rule.
7:44 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..
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