Skip to content
Skip to main menu
#
Chapter 10 – Taylor Polynomials and Power Series

# Lesson 1 – Taylor Polynomials

# Lesson 1 – Taylor Polynomials (Part 2)

# Lesson 2 – Lagrange and Alternating Series Error

# Lesson 3 – Power Series & Interval of Convergence

# Lesson 3 – Power Series & Interval of Convergence (Part 2)

# Lesson 4 – Derivatives and Integrals of Power Series

# Lesson 4 – Derivatives and Integrals of Power Series (Part 2)

# Lesson 5 – Generating Power Series from Geometric Series

# Lesson 5 – Generating Power Series from Geometric Series (Part 2)

# Lesson 6 – BC Exam Practice Problems

# Lesson 6 – BC Exam Practice Problems (Part 2)

This chapter starts rocking with a comprehensive study of Taylor polynomials that will make you see the beauty and simplicity of Taylor! From there you will learn about Taylor’s Theorem, the Lagrange Error Bound, and Alternating Series Error. Next, it is off to master power series, interval of convergence, and radius of convergence. Then you will learn how to differentiate and integrate power series by understanding you are simply working with polynomials! The second to last stop on this adventure will have you building power series using the sum formula for a geometric series. The chapter finishes off smoothly with every free-response question type on series you could ever want and oodles of excellent original multiple choice question practice! Time to feel great about Taylor polynomials and power series!!

Not a member yet? Click here to check out a bunch of free videos!