Chapter 8
Sequences and Series
Embedded Files
Chapter 8 Video # 1: (Watch and Learn)What is a sequence? Basic Sequence Info(11:25)
Chapter 8 Video # 2: Sequences-Examples showing convergence or divergence(6:11)
Chapter 8 Video # 3: Finding the Limit of a Sequence, 3 more examples(3:23)
Chapter 8 Video # 4: Limits at Infinity: Basic Idea(8:50)
Chapter 8 Video # 5: Calculating a Limit at Infinity with a Radical(9:10)
Chapter 8 Video # 6: Finding e by Taking a Limit(4:31)
Chapter 8 Homework # 1 Worksheet
Chapter 8 Video # 7: (Watch and Learn) Introduction to Infinite Series(8:15)
Chapter 8 Video # 8: Calculating the first terms in a series of partial sums(KristaKingMath)(5:06)
Chapter 8 Video # 9: Infinite Series: Partial Sums Part Two(2:27)
Chapter 8 Video # 10: Geometric Sequences(8:05)
Chapter 8 Video # 8: Infinite Geometric Series(10:01)
Chapter 8 Video # 10: nth term divergence test|Series|AP Calculus BC|Khan Academy(7:55)
Chapter 8 Video # 11: Infinite Series: The Nth Term Divergent Test(6:18)
Chapter 8 Video # 12: Nth Term Test For Divergence(8:03)
Chapter 8 Homework # 2 Worksheet
Chapter 8 Video # 9: (Watch and Learn) Integral Test Intuition(8:45)
Chapter 8 Video # 10: (Watch and Learn) Integral Test for Series: How it Works(14:46)
Chapter 8 Video # 11: The Integral Test(9:40)
https://www.youtube.com/watch?v=u1UKIljUWuc
https://www.youtube.com/watch?v=ObiRjUFHJHo
https://www.youtube.com/watch?v=qQlnPrpwKY8
https://www.youtube.com/watch?v=Lla2xi6W8cQ
Chapter 8 Video # 12: Infinite Series: The Integral Test(5:30)
Chapter 8 Video # 14: P-series(11:07)
Chapter 8 Video # 15: The p-Series Test(3:53)
Chapter 8 Video # 16: (Watch and Learn) Famous proof that harmonic series diverges(6:32)
https://www.youtube.com/watch?v=4WChwIGKdaA
https://www.youtube.com/watch?v=x621rtIwb_4
https://www.youtube.com/watch?v=gB43EA9659c
https://www.youtube.com/watch?v=4yyLfrsSXQQ
Chapter 8 Homework # 3 Worksheet
Chapter 8 Video # 14:(Watch and Learn) Comparison Test(4:29)
Chapter 8 Video # 15: Comparison test show convergence(4:54)
Chapter 8 Video # 16: The(Direct) Comparison Test(10:36)
Chapter 8 Video # 17: (Watch and Learn) Limit comparison test(6:52)
Chapter 8 Video # 18: The Limit Comparison Test(9:48)
https://www.youtube.com/watch?v=AtbZZiSLemQ
https://youtu.be/xdAxwFrWxmM
https://youtu.be/Im_RbIlhG14
https://youtu.be/2RAsId8Yr-k
https://youtu.be/vqXTK1kGPo4
https://youtu.be/u4y3-8_5R4U
https://youtu.be/0BR1Co1-6t4
https://youtu.be/2gr7Y1bO8dI
https://youtu.be/G7GGgLFkB2A
https://youtu.be/TKu28rXQZVw
https://youtu.be/jLHqHIwA-ZM
Chapter 8 Homework # 4 Worksheet
Chapter 8 Video # 19: (Watch and Learn) Alternating Series Test(5:47)
Chapter 8 Video # 20: (StArT aT 2:35) The Alternating Series Test(5:46)
Chapter 8 Video # 21:(Watch and Learn) Condition and absolute convergence(5:00)
Chapter 8 Video # 22: Absolutely and Conditionally Convergent Series(8:32)
https://www.youtube.com/watch?v=-lD0skTnqFo
https://www.youtube.com/watch?v=k6AovDCSY8A
https://youtu.be/ariqiaFxWSw
https://youtu.be/-NJYyIbNePA
https://youtu.be/vnvTD3YUrS4
https://youtu.be/TsSPUWcIjeo
https://youtu.be/QwrfqOYZVHc
https://youtu.be/b2OfprLRmBs
https://youtu.be/Tqd13m2nKrU
Chapter 8 Homework # 5 Worksheet
Chapter 8 Video # 23: (Watch and Learn) Ratio Test(8:58)
Chapter 8 Video # 24: The Ratio Test(9:04)
https://www.youtube.com/watch?v=av947KCWf2U
Chapter 8 Video # 25: The Root Test(6:35)
Chapter 8 Homework # 6 Worksheet
Chapter 8 Video # 26: Telelscoping Series (6:50)
Chapter 8 Video # 27: Telescoping Series ,Showing Divergence Using Partial Sums(4:46)
Chapter 8 Video # 28: improper integral vs. Infinite Series, Good for Calc 2 Final Review(1
Chapter 8 Homework # 7 Worksheet
Chapter 8 Homework # 8 Worksheet Quiz Review # 1
Chapter 8 Homework # 9 Worksheet Quiz Review # 1 Additional Practice
Chapter 8 Quiz # 1
Chapter 8 Video # 28: (Watch and Learn) Power series radius and interval of convergence(6:48)
Chapter 8 Video # 29: (Watch and Learn) Radius of convergence using Ratio Test(7:17)
Chapter 8 Video # 30: Power Series-Part I(radius and interval of convergence)(9:59)
Chapter 8 Video # 31: Power Series-Part II(radius and interval of convergence)(8:50)
Desmos Taylor Series Introduction
Geogebra: Tayloy Polynomial of f(x) centered at point a
Geogebra: Radius of convergence
Chapter 8 Homework # 10 Worksheet
Chapter 8 Video # 32: Differentiating and Integrating Taylor Series(10:09)
Chapter 8 Video # 33: Representing a Function as a Geometric Power Series: Part 1(9:59)
Chapter 8 Video # 35: (Watch and Learn) Power Series Properties(7:19)
Chapter 8 Video # 36: (Watch and Learn) Maclauren and Taylor Series Intuition(12:58)
Chapter 8 Video # 37: (Watch and Learn) Cosine Taylor Series at 0(Maclaurin)(5:37)
Chapter 8 Video # 38: (Watch and Learn) Sine Taylor Series at 0(Maclaurin)(6:32)
Chapter 8 Video # 39: (Watch and Learn) Taylor Series at 0(Macluaren) for e to the x(6:09)
Chapter 8 Video # 40: (Watch and Learn) Taylor Polynomials(18:05)
Chapter 8 Video # 41: 8.7 Taylor Series by Multiplication and Substitution(4:32)
Chapter 8 Homework # 11 Worksheet
Chapter 8 Video # 43: Applications of Taylor Series Part 2(10:47)
Chapter 8 Video # 45: Sum of the maclaurin series (KristaKingMath)(6:22)
Chapter 8 Video # 46: Power series multiplication(KristaKingMath)(7:06)
Chapter 8 Homework # 12 Worksheet
Chapter 8 Video # 47: (Watch and Learn) Taylor series|Chapter 10, Essence of Calculus(22:19)
Chapter 8 Video # 48: Applications of Taylor Series Part 1(9:54)
Chapter 8 Worksheet # 13 Worksheet
Chapter 8 Video # 49: Error or Remainder of a Taylor Polynomial Approximation(11:26)
Chapter 8 Video # 51: Taylor's Theorem with Remainder(8:59)
Chapter 8 Video # 52: Taylor Polynomial Problem(5:41)
Chapter 8 Homework # 14 Worksheet
Chapter 8 Video # 53: Alternating series remainder(10:20)
Chapter 8 Video # 54: Alternating series error estimation(9:17)
Chapter 8 Homework # 15
Chapter 8 Homework # 16 Quiz Review # 2
Chapter 8 Quiz # 2
Taylor Polynomials FRQs
Chapter 8 Homework # 17
Chapter 8 Homework # 18
Chapter 8 Homework # 19
Talyor Power Series/Polynomails FRQ Quiz
Pretty Cool Stuff(Optional)
Chapter 8 Video # 57: Euler's Formula and Euler's Identity(11:26)
Chapter 8 Video # 58: The Infinite Hotel Paradox: Jeff Dekofsky
AP Calculus BC Chapter 8 Notes.pdfAP Calculus Chapter 8 Quiz Review Solutions.pdfAP Calculus BC Chapter 8 Homework.pdfAP Calculus Chapter 8 Notes Answers Part 1.pdfAP Calculus Chapter 8 Notes Answers Part 2.pdfGoogle Sites
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