Embedded Files
Chapter 15 Video # 1: (Watch and Learn)Introduction to Double Integrals and Volume(10:38)
Chapter 15 Video # 2: Riemann Sums to Approximate Volume of a Double Integral(8:49)
Chapter 15 Video # 3: Midpoint Rule to Approximate Volume of a Double Integral(9:32)
Chapter 15 Video # 4: Average Value of a Double Integral(6:58)
https://www.geogebra.org/m/mWVGZmNP
Homework # 1 Page 958; # 1, 5, 8
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15.2
Be prepared to discuss the setup of a double integral on a quiz using two different methods.
I thoroughly enjoyed these videos. Just sayin'.
Chapter 15 Video # 5: (Watch and Learn) Double Integral 1(10:28)
https://www.youtube.com/watch?v=7NnMT26miYk
Chapter 15 Video # 6: Double Integral 2(9:50)
Chapter 15 Video # 7: (Watch and Learn) Double Integral 3(8:03)
Chapter 15 Video # 8: (Watch and Learn) Double Integral 4(9:23)
Chapter 15 Video # 9: Double Integral 5(9:50)
Chapter 15 Video # 10: Double Integral 6(9:59)
https://www.geogebra.org/m/KtskFc4a
https://www.youtube.com/watch?v=85zGYB-34jQ
https://www.youtube.com/watch?v=TdLD2Zh-nUQ
https://www.youtube.com/watch?v=z8BM6cHifPA
https://www.youtube.com/watch?v=jdYGkeZvYek&list=PL8erL0pXF3JaJdUcmc_PeGV-vG5z87BkD&index=15
2nd approach to calculating a double integral
https://www.youtube.com/watch?v=twT-WZChfZ8
https://www.youtube.com/watch?v=hrIPO8mQqtw
https://www.youtube.com/watch?v=0pv0QtOi5l8
Just Calculating double integrals.
https://www.youtube.com/watch?v=BJ_0FURo9RE
Homework # 2 Page 964; # 11, 13
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Chapter 15 Video # 11: Double Integrals to Find the Volume of a Solid(8:48)
https://www.youtube.com/watch?v=7NnMT26miYk
https://www.youtube.com/watch?v=2snhn2lK7-Y&list=PLROOIV7hGpZiuw5Nu0w8on8n3dzusZc-a&index=8
https://www.youtube.com/watch?v=9xUyOINEQio&list=PLROOIV7hGpZiuw5Nu0w8on8n3dzusZc-a&index=6
https://www.youtube.com/watch?v=nRP1ZX4A130&list=PLROOIV7hGpZiuw5Nu0w8on8n3dzusZc-a&index=7
https://www.youtube.com/watch?v=QcBqtzKXudc&list=PLROOIV7hGpZiuw5Nu0w8on8n3dzusZc-a&index=24
https://www.youtube.com/watch?v=76F6BefgDg0&feature=youtu.be
https://www.youtube.com/watch?v=C-33fKWZGnw
Chapter 15 Homework # 3: Page 972; # 5, 10, 13, 14, 15, 17, 19, 24
Chapter 15 Video # 12 : (Watch and Learn)Fubini's Theorem(3:21)
https://www.youtube.com/watch?v=rkvwEkM5RVo&t=9s
https://www.youtube.com/watch?v=K27g2mqjIao
https://www.youtube.com/watch?v=lDgO1LL9VnI&t=75s
https://www.youtube.com/watch?v=YzA-ZZ0k7ck
Chapter 15 Video # 13 : Double Integrals: Changing the Order of Integration - Example 2(5:46)
https://www.youtube.com/watch?v=jdYGkeZvYek&list=PL8erL0pXF3JaJdUcmc_PeGV-vG5z87BkD&index=15
Chapter 15 Homework # 4: Page 973; # 39-43, 46
Chapter 15 Quiz # 1
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15.4
Chapter 15 Video # 14: (Watch and Learn)Double Integrals in Polar Coordinates(5:51)
Chapter 15 Video # 15 : Introduction to Double Integrals in Polar Coordinates(9:46)
Chapter 15 Video # 16: Area Using Double Integrals in Polar Coordinates-Example 1(4:43)
Chapter 15 Video # 17: Double Polar Integral to Find the Volume of the Solid(12:33)
Chapter 15 Video # 18: Double Integrals in Polar Coordinates(Example 2)(8:25)
Chapter 15 Homework # 5: Page 978; # 8(-14/3), 11, 15, 17, 19, 24(9pi/4), 25, 31
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15.6
Chapter 15 Video # 19: (Watch and Learn)Triple Integrals 1(10:38)
Chapter 15 Video # 20:(Watch and Learn) Triple Integrals 3(11:47)
Chapter 15 Video # 21: (Skip the integration calculations) Triple Integrals(13:42)
Chapter 15 Video # 23: Refresher: Equation of a Plane Passing Through Three Points(6:15)
Homework # 6 Page 998; # 13, 14, 16, 21*
*Calculate the integral three different ways(Geometry, polars, trig substitution)
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Chapter 15 Video # 25: Midpoint Rule for Triple Integrals(11:57)
Chapter 15 Video # 26: Expressing a Triple Iterated Integral 6 Ways(18:18)
Chapter 15 Video # 27. Changing the Order of Triple Integrals(8:25)
Chapter 15 Video # 28: (StOp At 9:51) Reordering a Triple Integral(15:46)
Chapter 15 Website # 1: Rewriting a Triple Integral
Homework # 7 Page 998; # 25, 29-31, 35, 36
Homework # 7A: Page 998; # 32
Chapter 15 Quiz # 2
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Very very easy
Chapter 15 Video # 29: Introduction to Cylindrical Coordinates(7:13)
Chapter 15 Video # 30: Converting Between Cylindrical and Rectangular Equations(7:58)
Chapter 15 Video # 31: Rewriting Triple Integrals Using Cylindrical Coordinates(9:36)
Chapter 15 You Don't Need to Watch: 9.99999... reasons that .9999... = 1(10:00)
Homework # 8: Page 1004; # 17, 21, 27, 28
Chapter 15 Video # 32: (Watch and Learn) Spherical Coordinates in Space(18:07)
Chapter 15 Video # 33: Rectangular Form to Spherical Conversion: Example 5(10:22)
Chapter 15 Video # 34: (StArT aT 5:27) Introduction to Spherical Coordinates(9:17)
Chapter 15 Video # 35: Rectangular to Spherical Conversion: Example 6(4:47)
Chapter 15 Video # 36: (StArT aT 7:00 StOp At 8:37) Intro to Spherical Coordinates(13:40)
Chapter 15 Video You Don't Need to Watch it: Euclid's Proof There are Infinitely Many Primes(2:49)
Homework # 9: Page 1010; # 2a, 3a, 5 - 8, 9a, 10a, 11 - 14
Chapter 15 Video # 37: (Watch and Learn StArT aT 2:08:20 StOp At 2:18:02) Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with Cylindrical or Spherical Coord(3:20:09)
Homework # 10 Page 1010; # 22, 23, 26, 29a, 35a, 37*, 39*
*Setup integral only
Chapter 15 Video # 41:(Watch and Learn) Double Integral: Change of Variable Using the Jacobian(8:17)
Chapter 15 Video # 42:(Watch and Learn) Jacobian of the Transformation(3x3)(9:38)
Chapter 15 Video # 47: Multivariable Calculus 3.5.6: Change of Variables Example # 1(12:44)
Chapter 15 Homework # 11 Page 1020; # 4, 7, 12(answer: 192), 13, 19
Chapter 15 Quiz # 3
Stewart Calculus Book.pdfMultivariable Calculus Chapter 15 Practice Problems.pdfGoogle Sites
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