UNIT 10
Infinite Sequences and Series
Infinite Series Overview (from Collegeboard)
Below is a review AND overview of sequences and series. The powerpoint includes tests for convergence and La Grange error analysis. Thank you to Susan E. Cantey from Walnut Hills High School who posted this presentation on the internet.
Power series for Exponentials
HW Answers
Power Series
Below a look what a power series is, when it converges, findinding the radius of convergence, as well as finding and using power series. Thank you to Mika Seppala from Florida State University for posting this presentation on the internet.
Need help calculating when the partial sum is within a certain decimal value of the original function? Click here.
Integrating Power Series |
Differentiating Power Series |
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Class Notes - Embedded section: Series
Even answers to Power Series HW
Steps to Calculating Error for a Partial Sum
Taylor & Maclaurin Series
Have you ever wondered how a calculator is able to give a value for sine at ANY value, while you are stuck memorizing only the important ones? That is a major use for Taylor and/or Maclaurin series. Specifically programming in a partial series to quickly calculate an approximation accurate to twelve decimal places! These guys were ahead of their time!
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Tests for Convergence or Divergence
Tests for convergence is a powerpoint that details how to test the endpoints, once the radius of convergence is found. It is courtesy of Greg Kelly from Hanford High School in Richland, Virginia. Thanks for posting it on the internet.
Error Analysis
Need some additional help with Taylor Errors? Click here. Below is the powerpoint that was shown in class.