Chapter 10

Section 10.1

  • Lesson: Intro to Sequences

  • Lesson: Intro to Convergence of Sequences

  • Lesson: Commonly Occurring Limits of Sequences

  • Lesson: Bounded and Monotonic Sequences

  • Examples: Determining the Convergence of Sequences

  • Examples: Determining the Convergence of Recursively Defined Sequences

Section 10.2

Section 10.3

  • Lesson: The Integral Test for Series

  • Examples: Using the Integral Test for Series

Section 10.4

Section 10.5

Section 10.6

  • Lesson: The Alternating Series Test

  • Lesson: Conditional Convergence

  • Lesson: A Quick Summary of All the Tests So Far

  • Examples: Using the Alternating Series Test

  • Examples: Absolute Convergence vs Conditional Convergence (5 examples!!)

Section 10.7

Section 10.8

  • Lesson: Intro to Taylor and Maclaurin Series and Polynomials

  • Examples: Finding Taylor Polynomials of Degrees 0, 1, 2, 3

  • Examples: Finding Taylor Series at a=0 (aka Maclaurin Series)

  • Examples: Finding Taylor Series at other values of a

  • Examples: Taylor Series and Determining Intervals of Convergence

Section 10.9

  • Lesson: Convergence of Taylor Series

  • Lesson: Common Taylor Series

  • Examples: Using Substitution with Taylor Series

  • Examples: Using Power Series Operations with Taylor Series

Section 10.10