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This is the fourth 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.
★ Differentiate and integrate a power series
★ Find a geometric power series that represents a function
★ Construct a power series using series operations
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 4.2B: Write a power series representing a given function
★ EK 4.2B2: The Maclaurin series for sin(x), cos (x), and e^x provide the foundation for constructing the Maclaurin series for other functions
★ EK 4.2B5: A power series for a given function can be derived by various methods
★ EK 4.2B3: The Maclaurin series for 1/(1-x) is a geometric series
★ EK 4.2B4: A Taylor polynomial for f(x) is a partial sum of the Taylor series for f(x).
The unit includes the following topics:
4. Representing Functions by Power Series
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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