Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.

Concepts

taylor series, polynomial functions, trigonometric functions, exponential functions

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Additional Tags

math

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Instructional Ideas

• Give scholars some example problems to work on after viewing the video

Classroom Considerations

• Learners should be able to differentiate trigonometric and exponential functions
• Pupils must understand factorials

• This video is hosted on YouTube

Pros

• Animation on graphs aids in visualizing Taylor series approximations
• Provides a real-world example where Taylor series is useful

Cons

• None