List of Videos in the ISM

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  1. Introduction to Infinite Sequences and Series
    1. Videos on Infinite Sequences
      • Patrick JMT: What is a Sequence? Basic Sequence Info
      • Patrick JMT: Sequences – Examples Showing Convergence or Divergence
      • Math Is Power 4U: Limits of a Sequence
      • Math Is Power 4U: Limits of a Sequence: The Squeeze Theorem
    2. Videos on Sigma Notation
      • Patrick JMT: What is a Series?
      • Math Is Power 4U: Introduction to Infinite Series
    3. Introduction to Infinite Series Videos
      • Kahn Academy: Sequences and Series Part II
      • Kahn Academy: Series Sum Example
      • Patrick JMT: Geometric Series: Expressing a Decimal as a Rational Number
      • Math Is Power 4U: Infinite Geometric Series
      • UBC Mathematics Department: Geometric Interpretation of the Geometric Series
    4. Properties of Convergent Infinite Series
    5. Videos on Telescoping and Harmonic Series
      • MIT Opencourseware: Limit of a Series
      • Patrick JMT: Showing a Series Diverges Using its Partial Sums
  2. Convergence Tests for Infinite Series
    1. Videos on The Divergence Test
      • Patrick JMT: Showing a Series Diverges Using its Partial Sums
      • Patrick JMT: Geometric Series and the Test for Divergence (Part 1)
      • Patrick JMT: Geometric Series and the Test for Divergence (Part 2)
    2. Videos on The Integral Test
      • Math Is Power 4U: The Integral Test
      • Math Is Power 4U: The p-Series Test
      • Patrick JMT: Using the Integral Test for Series
    3. Alternating Series Test Videos
      • Math Is Power 4U: The Alternating Series Test
      • Patrick JMT: Alternating Series
      • Patrick JMT: More Alternating Series Examples
    4. Videos on The Ratio Test
      • Patrick JMT: Using the Ratio Test to Determine if a Series Converges #1
      • Patrick JMT: Using the Ratio Test to Determine if a Series Converges #2
    5. Review of Convergence Test Videos
      • Patrick JMT: Convergence Test Videos
  3. Power Series
    1. Power Series
      • MIT Opencourseware: Ratio Test – Radius of Convergence
      • Math Is Power 4U: Power Series – Part 1
      • Math Is Power 4U: Power Series – Part 2
    2. Taylor and MacLaurin Series

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