Unit 10 Topics (College Board AP® Calculus BC): Revision Note

10.1

Defining Convergent and Divergent Infinite Series

• Convergent & Divergent Infinite Series

10.2

Working with Geometric Series

• Geometric Series

10.3

The nth Term Test for Divergence

• nth Term Test for Divergence

10.4

Integral Test for Convergence

• Integral Test for Convergence

10.5

Harmonic Series and p-Series

• Harmonic Series & p-series

10.6

Comparison Tests for Convergence

• Comparison Tests for Convergence

10.7

Alternating Series Test for Convergence

• Alternating Series Test for Convergence

10.8

Ratio Test for Convergence

• Ratio Test for Convergence

10.9

Determining Absolute or Conditional Convergence

• Absolute & Conditional Convergence

10.10

Alternating Series Error Bound

• Alternating Series Error Bound

10.11

Finding Taylor Polynomial Approximations of Functions

• Taylor Polynomial Approximation of a Function

10.12

Lagrange Error Bound

• Error Bounds for Power Series

10.13

Radius and Interval of Convergence of Power Series

• Radius & Interval of Convergence of Power Series

10.14

Finding Taylor or Maclaurin Series for a Function

• Taylor or Maclaurin Series for a Function

10.15

Representing Functions as Power Series

• Representing Functions as Power Series