Course Information

Course

Subject:	Mathematics
Topic:	Calculus
Views:	226,932

Educator

Name:	Patrick's Just Math Tutoring (Patrick JMT)
Type:	Individual

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Calculus Videos: Series and Sequences

Video Lectures

Displaying all 30 video lectures.

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/(1-x) 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).