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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.
★ 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:
3. Power Series and Interval of Convergence
The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* Through the SMART Notebook Express ®
* Promethean Boards©
* Other APPS available for Tablets
If you have any questions or comments
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