Calculus: Power Series and Interval of Convergence

Calculus: Power Series and Interval of Convergence
Calculus: Power Series and Interval of Convergence
Calculus: Power Series and Interval of Convergence
Calculus: Power Series and Interval of Convergence
Calculus: Power Series and Interval of Convergence
Calculus: Power Series and Interval of Convergence
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  1. This is the bundled unit for UNIT 10: MORE ON SERIES for AP Calculus BC topics.Each lesson provides:✎ A set of Guided Notes which is a full-sheet skeleton format of the lesson,✎ Teachers have a fully-editable SMART Board® presentation that matches set of Guided Notes.The bundle includes:★ Bonus: Sum
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  2. This is an AP CALCULUS BC CURRICULUM for students enrolled in AP CALCULUS BC, or CALCULUS 2. The lessons and presentations are aligned to College Board® AP Standards. The lessons cover only the topics specific to AP Calculus BC.What is included in each unit lesson:✎ A set of Guided Notes which is a
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Product Description

This is the third lesson in a six-lesson unit on More on Series for students enrolled in AP Calculus BC, Calculus 2. There is also a BONUS Intro to Taylor Polynomials Exploration.

Lesson Objective:

★ Understand the definition of a power series

★ Find the radius and interval of convergence of a power series

★ Determine the endpoint convergence of a power series

Every lesson includes:

✎ A set of Guided Student Notes

✎ A daily homework assignment

✎ Two forms of a daily homework quiz or exit ticket

✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

College Board® Learning Objectives:

★ LO 4.2C: Determine the radius and interval of convergence of a power series.

★ EK 4.2C1: If a power series converges, it either converges at a single point or has an interval of convergence

★ EK 4.2C2: The ratio test can be used to determine the radius of convergence of a power series

★ EK 4.2C3: If a power series has a positive radius of convergence, then the power series is the Taylor series of the function to which it converges over the open interval.

The unit includes the following topics:

1. The Ratio and Root Tests

2. Taylor Polynomials and Approximations

3. Power Series and Interval of Convergence

4. Representing Functions by Power Series

5. Taylor and Maclaurin Series

6. The Lagrange Error Bound and Accuracy

The SMART Board lesson can be used in many ways.

Teachers can display the presentation using the following:

* SMART Board®

* Airliner Wireless Slate

* SMART Notebook for IPAD App

* Through the SMART Notebook Express ®

* Promethean Boards©

* Other APPS available for Tablets

If you have any questions or comments

please contact me by email at: jean@flamingomath.com

Thanks for shopping in my store!

Total Pages
8 pages
Answer Key
Included
Teaching Duration
50 minutes
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