Calculus Chapter 11

Ch 11  Sequences

 

Ch 11.1 Sequences

 

Geometric Sequences
http://www.youtube.com/watch?v=XHyeLKZYb2w&feature=relmfu
http://www.youtube.com/watch?v=C7tE26CDI2M&feature=relmfu

 

Limits of a Sequence
http://www.youtube.com/watch?v=hc64LUtPjP0
http://www.youtube.com/watch?v=Kxh7yJC9Jr0&feature=relmfu
http://www.youtube.com/watch?v=9K1xx6wfN-U&feature=player_embedded

 

Limits of a Sequence: The Squeeze Theorem
http://www.youtube.com/watch?v=TpbxFJphGyg&feature=relmfu

 

Ch 11.2 Series

 

Limits of Series
http://www.youtube.com/watch?v=haK3oC0L_a8

 

Showing a Series Diverges Using Partial Sums
http://www.youtube.com/watch?v=MDYb5DnRH2c&feature=player_embedded

 

Geometric Series and the Test for Divergence
http://www.youtube.com/watch?v=pFcJZnxqzNc&list=PL6066BA9D7C1ED297&index=5&feature=plpp_video
http://www.youtube.com/watch?v=xjmy5hkZccY&feature=relmfu
http://www.youtube.com/watch?v=C8piSCOdo1Y&feature=player_embedded

 

Geometric Series – Expressing a Decimal as a Rational Number
http://www.youtube.com/watch?v=7tDK_UjdWOs&feature=player_embedded

Telescoping Series Example
http://www.youtube.com/watch?v=UpauFx8fJ24&feature=player_embedded
http://www.youtube.com/watch?v=6LfoMmCckFY&list=PL6066BA9D7C1ED297&index=4&feature=plpp_video

 

Ch 11.3 The Integral Test and Estimates of Sums

 

Integral Test
http://www.youtube.com/watch?v=qQlnPrpwKY8&list=PL6066BA9D7C1ED297&index=3&feature=plpp_video
http://www.youtube.com/watch?v=ojztrQMqLgE&feature=player_embedded

 

The p-Series Test
http://www.youtube.com/watch?v=gB43EA9659c&list=PL6066BA9D7C1ED297&index=2&feature=plpp_video

 

Remainder Estimate for the Integral Test
http://www.youtube.com/watch?v=sVQdVA-icGA

 

Ch 11.4 The Comparison Tests

 

The Comparison Test
http://www.youtube.com/watch?v=2J9vhLkA1Xo&feature=relmfu

 

The Limit Comparison Test
http://www.youtube.com/watch?v=LQ_ktobTEp0&list=PL6066BA9D7C1ED297&index=12&feature=plpp_video
http://www.youtube.com/watch?v=xesQnFWw8f8&feature=player_embedded
http://www.youtube.com/watch?v=8eCFY82HkRA&feature=player_embedded

 

Ch 11.5 Alternating Series

 

The Alternating Series Test
http://www.youtube.com/watch?v=8qhVGeCkgGg&list=PL6066BA9D7C1ED297&index=14&feature=plpp_video
http://www.youtube.com/watch?v=-K9Qt6YUIrI&feature=player_embedded
http://www.youtube.com/watch?v=zgTRNpKcenE&feature=player_embedded

 

Alternating Series Estimation Theorem
http://www.youtube.com/watch?v=ilRkVcAxdCo&feature=player_embedded

 

Ch 11.6 Absolute Convergence and the Ratio and Root Tests

 

Absolutely and Conditionally Convergent Series
http://www.youtube.com/watch?v=rEyeRKd3TWo&list=PL6066BA9D7C1ED297&index=15&feature=plpp_video
http://www.youtube.com/watch?v=6hOeqjoQvNw&feature=player_embedded

 

The Ratio Test
http://www.youtube.com/watch?v=76BzmM9zDIA&list=PL6066BA9D7C1ED297&index=11&feature=plpp_video
http://www.youtube.com/watch?v=iy8mhbZTY7g&feature=player_embedded
http://www.youtube.com/watch?v=gay5CEXnkhA&feature=player_embedded

 

The Root Test
http://www.youtube.com/watch?v=ZE5Pj7s9PWg&list=PL6066BA9D7C1ED297&index=10&feature=plpp_video
http://www.youtube.com/watch?v=vDdDLfIya0I

 

Ch 11.7 Strategy for Testing Series

 

Strategy for Testing Series – Series Practice Problems
http://www.youtube.com/watch?v=DvadVYHf3pM&feature=player_embedded

 

Ch 11.8 Power Series

 

Power Series – Finding the Interval of Convergence
http://www.youtube.com/watch?v=01LzAU__J-0&feature=player_embedded
http://www.youtube.com/watch?v=A9JIdi0fQHs&list=PL6066BA9D7C1ED297&index=22&feature=plpp_video
http://www.youtube.com/watch?v=B-5o0JdUWTo&list=PL6066BA9D7C1ED297&index=23&feature=plpp_video

 

Ch 11.9 Representation of Functions as Power Series

 

Power Series Representation of Functions
http://www.youtube.com/watch?v=XWGPjZK0Yzw&feature=player_embedded
http://www.youtube.com/watch?v=Sw7PcBTgE0A&list=PL6066BA9D7C1ED297&index=21&feature=plpp_video
http://www.youtube.com/watch?v=DyJetBjvT4M&list=PL6066BA9D7C1ED297&index=20&feature=plpp_video

 

Differentiation and Integration Using Power Series
http://www.youtube.com/watch?v=zCQuEN7TFNE&list=PL6066BA9D7C1ED297&index=16&feature=plpp_video
http://www.youtube.com/watch?v=qPl9nr8my2Q&feature=player_embedded

 

Ch 11.10 Taylor and Maclaurin Series

 

Taylor and Maclaurin Series
http://www.youtube.com/watch?v=cwpJxfHkR1o&list=PL6066BA9D7C1ED297&index=19&feature=plpp_video
http://www.youtube.com/watch?v=cjPoEZ0I5wQ&feature=player_embedded
http://www.youtube.com/watch?v=Os8OtXFBLkY&list=PLD371506BCA23A437&index=137&feature=plpp_video

 

Multiplication and Division of Power Series
http://www.youtube.com/watch?v=_L2VcGjp670&list=PLD371506BCA23A437&index=135&feature=plpp_video

 

The Binomial Series – Example 1
http://www.youtube.com/watch?v=ocNLs4hmNtI&list=PLD371506BCA23A437&index=142&feature=plpp_video
http://www.youtube.com/watch?v=Jgy-MLHlzO0&list=PLD371506BCA23A437&index=143&feature=plpp_video

 

Using Taylor Polynomials to Approximate Functions
http://www.youtube.com/watch?v=lShzrGyiueg&feature=relmfu

 

Taylor’s Theorem with Remainder
http://www.youtube.com/watch?v=DP_pGQaNGdw&list=PL6066BA9D7C1ED297&index=24&feature=plpp_video

 

Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy
http://www.youtube.com/watch?v=3ZOS69YTxQ8&list=PLD371506BCA23A437&index=140&feature=plpp_video