Forward Difference Method Theory | Numerical Methods

In this video, we dive into the theory behind the Forward Difference Method. Whether you're a student or professional, this tutorial provides a quick and clear overview of this powerful numerical analysis technique. Join us as we explore the fundamental concepts, applications, and error analysis associated with the Forward Difference Method. Enhance your understanding and sharpen your problem-solving skills with this insightful tutorial.

This timeline is meant to help you better understand Forward Difference Method Theory in this Numerical Analysis Course:
0:00 Introduction
0:18 What is Numerical Differentiation?
1:18 Review of Derivatives & Relationship with Numerical Differentiation
2:47 Review of Taylor Series Approximations
3:30 Taylor Series of e^x centered at 1
5:06 Developing Forward Difference Method
6:54 Why is the error in the forward difference method proportional to step size?
7:53 Outro

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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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