Series: Calculus: Sequences & Series
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What is a Sequence? Basic Sequence Info -
More Convergent Sequence Examples -
What is a Series? -
Telescoping Series -
Using Partial Sums to Show a Series Diverges -
Geometric Series -
Geometric Series, Part 2 -
Geometric Series - More Examples -
Geometric Series: Repeating Decimal as Fraction -
Integral Test for Series -
Remainder Estimate for the Integral Test -
Limit and Direct Comparison Tests – Pt 1 -
Limit and Direct Comparison Tests – Pt 2 -
Alternating Series -
Alternating Series - Another Example -
The Alternating Series Estimation Theorem -
The Ratio Test and Absolute Convergence Part 1 -
The Ratio Test and Absolute Convergence Part 2 -
Strategy for Testing Series - An Overview -
Power Series - Finding the Interval of Convergence -
Power Series Representations: PSR for 1/(1 - x) -
Power Series - Multiplying and Dividing -
Differentiating and Integrating Power Series -
Find a Maclaurin Series -
Finding a Taylor Series Expansion -
Taylor's Inequality -
Using Series to Evaluate Limits -
Maclaurin/Taylor to Approximate Definite Integrals -
The Binomial Series - Ex 1 -
The Binomial Series - Ex 2
About this Series
- Lessons: 30
- Total Time: 4h 14m
- Use: Watch Online & Download
- Access Period: Unlimited
- Created At: 09/30/2010
- Last Updated At: 09/30/2010
This 30-video second-semester calculus series looks at sequences and series. You'll learn the basics of both by going through some sample problems that cover the material and will help you to master fundamentals of calculus that involves both sequences and series. You'll learn what these are, how to recognize them, what notation to use to indicate them, how they are alike and different, how specific types of sequences and series can be recognized, how specific types of series and sequences behave, etc.
These videos are available to be viewed online for free on PatrickJMT
About this Author
-
- patrickjmt
- 987 lessons
- Joined:
08/17/2010
Many of the videos for sale are also available on my website: http://PatrickJMT.com or you can also do a search and check out my popular 'math channel' on YouTube (PatrickJMT). You can watch all of them there for FREE!
Masters degree in Mathematics; former math instructor at a top 20 university!
Lessons Included
- What is a Sequence? Basic Sequence Info
- More Convergent Sequence Examples
- What is a Series?
- Telescoping Series
- Using Partial Sums to Show a Series Diverges
- Geometric Series
- Geometric Series, Part 2
- Geometric Series - More Examples
- Geometric Series: Repeating Decimal as Fraction
- Integral Test for Series
- Remainder Estimate for the Integral Test
- Limit and Direct Comparison Tests – Pt 1
- Limit and Direct Comparison Tests – Pt 2
- Alternating Series
- Alternating Series - Another Example
- The Alternating Series Estimation Theorem
- The Ratio Test and Absolute Convergence Part 1
- The Ratio Test and Absolute Convergence Part 2
- Strategy for Testing Series - An Overview
- Power Series - Finding the Interval of Convergence
- Power Series Representations: PSR for 1/(1 - x)
- Power Series - Multiplying and Dividing
- Differentiating and Integrating Power Series
- Find a Maclaurin Series
- Finding a Taylor Series Expansion
- Taylor's Inequality
- Using Series to Evaluate Limits
- Maclaurin/Taylor to Approximate Definite Integrals
- The Binomial Series - Ex 1
- The Binomial Series - Ex 2
None of the lesson in this series have been reviewed.
Below are the descriptions for each of the lessons included in the series:
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What is a Sequence? Basic Sequence Info
What is a Sequence? Basic Sequence Info. In this video, I discuss what a sequence is, what it means for a sequence to converge or diverge, and do some examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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More Convergent Sequence Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
What is a Series?
What is a Series - I try to give a basic idea of what a series is. I also briefly discuss geometric series and the test for divergence.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Telescoping Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Using Partial Sums to Show a Series Diverges
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Geometric Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Geometric Series, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Geometric Series - More Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Geometric Series: Repeating Decimal as Fraction
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Integral Test for Series
Using the Integral Test for Series - One complete example. I justify EVERYTHING!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Remainder Estimate for the Integral Test
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Limit and Direct Comparison Tests – Pt 1
Using the Limit Comparison Test to Determine if a series converges or diverges.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Limit and Direct Comparison Tests – Pt 2
Limit Comparison Test and Direct Comparison Test - Using the Limit Comparison and Direct Comparison Test to Determine if a Series Converges or Diverges.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Alternating Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Alternating Series - Another Example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Alternating Series Estimation Theorem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Ratio Test and Absolute Convergence Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Ratio Test and Absolute Convergence Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Strategy for Testing Series - An Overview
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Power Series - Finding the Interval of Convergence
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Power Series Representations: PSR for 1/(1 - x)
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Power Series - Multiplying and Dividing
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Differentiating and Integrating Power Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Find a Maclaurin Series
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Finding a Taylor Series Expansion
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Taylor's Inequality
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Using Series to Evaluate Limits
Using Series to Evaluate Limits - In this example I show how one can use a series expansion and a bit of algebra to calculate a limit.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Maclaurin/Taylor to Approximate Definite Integrals
Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy.
In this video, I use Maclaurin/Taylor series and the Alternating Series Estimation Theorem to approximate a definite integral to within a desired accuracy.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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The Binomial Series - Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Binomial Series - Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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