# List of Videos in the ISM

Previous: Proof of the Ratio Test

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

Previous: Proof of the Ratio Test