Taylor and Maclaurin Series (BC Calculus - Unit 10)
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AP Calculus BC 2nd Semester MEGA Bundle:This resource is a complete set of Guided Notes, homework, daily content quizzes and editable assessments for your AP Calculus BC students. There are five units aligned to AP College Board© CED Binder that cover the content with the rigor needed to prepare youPrice $315.00Original Price $347.97Save $32.97
Infinite Sequences & Series CALCULUS BC MEGA Bundle:This Calculus BC-MEGA Bundle of guided notes and lesson videos, homework, daily content quizzes, mid-unit and end-unit assessments, AP-Style assessments, review assignments, and cooperative activities covers the topics for INFINITE SEQUENCES &aPrice $64.35Original Price $71.50Save $7.15
AP Calculus BC Mega Bundle Curriculum:This bundle is designed for teachers that teach AP Calculus BC in a full-year setting. The resource is a complete set of Guided Notes plus lesson videos, editable SMART Board presentation slides, homework, daily content quizzes, cooperative activities, review aPrice $550.00Original Price $698.71Save $148.71
Description
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
⭐ Video Lesson Link for Distance Learning - Flipped Classroom models
⭐ 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
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NOTE: This lesson has been updated to reflect the changes in the AP Calculus CED Binder .
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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:
2. The Integral Test and p-Series
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
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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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