Lecture 1 Play Video 
Sequence: Convergence and Divergence (Part 1)

Lecture 2 Play Video 
Sequences: Converging or Diverging (Part 2)

Lecture 3 Play Video 
Series: Geometric Series and the Test for Divergence

Lecture 4 Play Video 
Geometric Series: Fraction Representation
In this video lesson, Patrck teaches how to find the Fraction Representation of a Rational Number Written as a Decimal.

Lecture 5 Play Video 
Examples of Geometric Series and the Test for Divergence (Part 1)

Lecture 6 Play Video 
Examples of Geometric Series and the Test for Divergence (Part 2)

Lecture 7 Play Video 
Telescoping Series

Lecture 8 Play Video 
Series Diverges: Using Partial Sums

Lecture 9 Play Video 
Integral Test for Series

Lecture 10 Play Video 
Using the Integral Test for Series: Example 1

Lecture 11 Play Video 
Using the Integral Test for Series: Example 2

Lecture 12 Play Video 
Using the Integral Test for Series: Example 3

Lecture 13 Play Video 
Series: Limit and Direct Comparison Test

Lecture 14 Play Video 
Series: Limit and Direct Comparison Test Examples

Lecture 15 Play Video 
Series: Limit and Direct Comparison Test Examples (cont.)

Lecture 16 Play Video 
Alternating Series (Part 1)

Lecture 17 Play Video 
Alternating Series (Part 2)

Lecture 18 Play Video 
Alternating Series Estimation Theorem

Lecture 19 Play Video 
Ratio Test to Determine if a Series Converges (Ex. 1)

Lecture 20 Play Video 
Ratio Test to Determine if a Series Converges (Ex. 2)

Lecture 21 Play Video 
Root Test for Series

Lecture 22 Play Video 
Power Series Representation of Functions
In this video, Patrick manipulates the Power Series Representation of 1/(1x) to derive Power Series Representations of other Functions.

Lecture 22 Play Video 
Power Series: Interval of Convergence

Lecture 23 Play Video 
Differentiating and Integrating Power Series
In this video, Patrick teaches how to Differentiate and Integrate Power Series to Derive New Power Series Expressions.

Lecture 24 Play Video 
Power Series: Multiplying and Dividing

Lecture 25 Play Video 
Taylor and MacLaurin Series (Ex. 1)

Lecture 26 Play Video 
Taylor and MacLaurin Series (Ex. 2)

Lecture 27 Play Video 
Taylor's Remainder Theorem or Taylor's Inequality

Lecture 28 Play Video 
The Binomial Series (Ex. 1)

Lecture 29 Play Video 
The Binomial Series (Ex. 2)
In this video lesson, Patrick shows how to use Binomial Series to find a Maclaurin series representation for arcsin(x).
* There is a small mistake at the end: The power should be (2n+1).
