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Chapter 11 - Contents
Section 11.1 - Sequences
Notes Topics
Section 11.1 Slides Sequences
  Finding Sequence Limits
  Sequence Examples - 1
  Sequence Examples - 2
Section 11.2 - Series
Notes Topics
Section 11.2 Infinite Series
  Connection with Improper Integrals
  Basic Questions About Series
  Geometric Series - 1
  Geometric Series - 2
  Examples - Geometric Series
  Example - Repeating Decimals
Section 11.3 - The Integral Test and Estimates of Sum
Notes Topics
Section 11.3 - Slides The Integral Test
  Example 1 - Integral Test
  Example 2 - Integral Test
  Example 3 - p-series
  Estimating the Sum of a Series
Section 11.4 - Polar Coordinates
Notes Topics
Section 11.4 - Notes Comparison Tests
  Series to Compare With
  Examples - Limit Comparison - 1
  Examples - Limit Comparison - 2
  Examples - Ordinary Comparison
Section 11.5 - Areas and Lengths in Polar Coordinates
Notes Topics
Section 11.5 - Notes Alternating Series
  Convergence Picture and Remainder Estimate
  Examples - Alternating Series
  Example - Alternating Series
  Example - Remainder (Error) Estimate
Section 11.6 - Absolute Convergence and the Ratio and Root Tests
Notes Topics
Section 11.6 - Notes Absolute and Conditional Convergence - 1
  Absolute and Conditional Convergence - 2
  The Ratio Test and the Root Test
  Examples - Ratio and Root Tests - 1
  Examples - Ratio and Root Tests - 2
  Examples - Ratio and Root Tests - 3
  Examples - Ratio and Root Tests - 4
Section 11.8 - Power Series
Notes Topics
Section 11.8 - Notes Power Series
  Interval of Convergence
  Examples - Power Series - 1
  Examples - Power Series - 2
  Examples - Power Series - 2 (concluded)
  Examples - Power Series - 3
  Examples - Power Series - 4
Section 11.9 - Representations of Functions as Power Series
Notes Topics
Section 11.9 - Notes Power Series Representations
  Example 1
  11.9 #3 Omitted
  Differentiation or Integration of Power Series
  Example
  Evaluating Integrals Using Power Series
Section 11.10 - Taylor and Maclaurin Series
Notes Topics
Section 11.10 - Notes (Slides 1 - 3) Taylor and Maclaurin Series
  Taylor Polynomial and Remainder Estimate
  Example - Maclaurin Series for ex
Section 11.10 - Notes (Slides 4 - 9) Example - Maclaurin Series for cosx
  Example - a Taylor Series
  Maclaurin Series to Know
  Examples - More Maclaurin Series
  Example - Series Approximation of Definite Integral
  Example - Series Approximation of Definite Integral (concluded)
Section 11.11 - The Binomial Series
Notes Topics
Section 11.11 - Notes The Binomial Series
  Example 1
  Example 2
  Example 3
  Example 3 (concluded)
Section 11.12 - Applications of Taylor Polynomials
Notes Topics
Section 11.12 - Notes Taylor Polynomials
  Approximation by Taylor Polynomials
  Example 1
  Example 1 - continued
  Example 1 (concluded)
Special thanks to the students in Dr. Piech's MWF 9:00 MTH142 class for ducking every time you walked past the camera, for reporting errors on this site, and for all the great feedback. Good luck on your finals, and have a great summer!

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