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Taylor and Maclaurin Series (BC Calculus - Unit 10)

Jean Adams
Grade Levels
11th - 12th, Higher Education
Formats Included
  • Zip
9 + 13 Slides
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Jean Adams

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  1. Infinite Sequences & Series CALCULUS BC MEGA Bundle:This Calculus BC-MEGA Bundle of guided notes, homework, daily content quizzes, mid-unit and end-unit assessments, AP-Style assessments, review assignments, and cooperative activities covers the topics for INFINITE SEQUENCES & SERIES. The un
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Taylor and Maclaurin Series Lesson:
Your AP Calculus BC students will differentiate and integrate a Taylor or Maclaurin Series and construct a power series using series operations.

What is included in this resource?

⭐ Guided Student Notes

Fully-editable SMART Board® Slides

⭐ Homework/Practice assignment

⭐ Content quiz

⭐ Full solution set

Lesson Objective:

★ Differentiate and integrate a Taylor or Maclaurin series

★ Find a geometric power series that represents a function

★ Construct a power series using series operations


NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder .


College Board® Topics:

Topic 10.14: Finding Taylor or Maclaurin Series for a Function

College Board® Learning Objectives:

LIM-8.E: Represent a Taylor series or a Maclaurin series. (BC Only)

LIM-8.E.1: A Taylor polynomial for f(x) is a partial sum of the Taylor series for f(x). (BC Only)

LIM-8.F: Interpret Taylor series and Maclaurin series. (BC Only)

LIM-8.F.2: The Maclaurin series for sin⁡ x, cos x and e^x provides the foundation for constructing the Maclaurin series for other functions. (BC Only)

The unit includes the following topics:

1. Series and Convergence

2. The Integral Test and p-Series

3. Comparison of Series

4. Alternating Series

5. Ratio and Root Tests

6. Taylor Polynomials and Approximations

7. Lagrange Error Bound and Accuracy

8. Power Series and Interval of Convergence

9. Taylor and Maclaurin Series

10. Representing Functions by Power Series

Click HERE to SAVE 20% by buying all INFINITE SEQUENCES & SERIES products, including cooperative activities, in the UNIT 10 MEGA BUNDLE.

You may also be interested in:

Sequences & Series Essentials

Sequences & Series Assessments

Sequences & Series Homework

AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.



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Jean Adams

Total Pages
9 + 13 Slides
Answer Key
Teaching Duration
Lifelong tool
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