Calculus Chapter 15

Ch 15  Multiple Integrals

 

Introduction to Double Integrals and Volume
http://www.youtube.com/watch?v=m08xkaVIHIY&list=PL6105DDC4879A7FB8&index=29&feature=plpp_video
http://www.youtube.com/watch?v=2snhn2lK7-Y&list=PL6105DDC4879A7FB8&index=22&feature=plpp_video

 

Ch 15.1 Double integrals over rectangles

 

Double integrals over rectangles
http://www.youtube.com/watch?v=IWHFg-aSiQY

 

Average Value of a Function of Two Variables
http://www.youtube.com/watch?v=MTc_AI1iY6Q&list=PL6105DDC4879A7FB8&index=16&feature=plpp_video

 

Ch 15.2 Iterated integrals

 

Iterated integrals and Fubini’s Theorem
http://www.youtube.com/watch?v=QE-HVKp7KvY
http://www.youtube.com/watch?v=6-sGhUeOOk8&list=PL6105DDC4879A7FB8&index=30&feature=plpp_video

 

Ch 15.3 Double integrals over General Regions

 

Double Integrals and Volume over a General Region
http://www.youtube.com/watch?v=9xUyOINEQio&feature=relmfu
http://www.youtube.com/watch?v=nRP1ZX4A130&list=PL6105DDC4879A7FB8&index=28&feature=plpp_video

 

Double Integrals: Changing the Order of Integration
http://www.youtube.com/watch?v=K27g2mqjIao&list=PL6105DDC4879A7FB8&index=26&feature=plpp_video
http://www.youtube.com/watch?v=rkvwEkM5RVo&list=PL6105DDC4879A7FB8&index=20&feature=plpp_video
http://www.youtube.com/watch?v=LcG5gvRwYdY&list=PL6105DDC4879A7FB8&index=21&feature=plpp_video

 

Ch 15.4 Double integrals in Polar Coordinates

 

Double Integrals in Polar Coordinates – Example 1, 2 3 and 4
http://www.youtube.com/watch?v=YQfta_poP1k&list=PL6105DDC4879A7FB8&index=24&feature=plpp_video
http://www.youtube.com/watch?v=xmwN1K3nF3I&list=PL6105DDC4879A7FB8&index=25&feature=plpp_video
http://www.youtube.com/watch?v=d_FYyFyeGd0&list=PL6105DDC4879A7FB8&index=17&feature=plpp_video
http://www.youtube.com/watch?v=gy8hPOKheAg&list=PL6105DDC4879A7FB8&index=18&feature=plpp_video

 

Ch 15.5 Applications of Double integrals

 

Applications of double integrals
http://www.youtube.com/watch?v=zipigP-mNdk

 

Ch 15.6 Surface Area

 

Surface area with double integrals
http://www.youtube.com/watch?v=DZj7NSdr7aU

 

Ch 15.7 Triple integrals

 

Introduction to Triple Integrals
http://www.youtube.com/watch?v=CPR0ZD0IYVE&list=PL6105DDC4879A7FB8&index=11&feature=plpp_video
http://www.youtube.com/watch?v=ffS_C4IvCR8&list=PL6105DDC4879A7FB8&index=12&feature=plpp_video

 

Triple Integrals and Volume : Part 1, Part 2 and Part 3
http://www.youtube.com/watch?v=AQHcZklcltI&list=PL6105DDC4879A7FB8&index=9&feature=plpp_video
http://www.youtube.com/watch?v=1LUNzkIxPV4&list=PL6105DDC4879A7FB8&index=8&feature=plpp_video
http://www.youtube.com/watch?v=nW2GD3pYsXY&list=PL6105DDC4879A7FB8&index=7&feature=plpp_video

 

Application of Triple Integrals: Mass
http://www.youtube.com/watch?v=cFSRXum_3Es&list=PL6105DDC4879A7FB8&index=6&feature=plpp_video

 

Changing the Order of Triple Integrals
http://www.youtube.com/watch?v=5WGW82fSXnU&list=PL6105DDC4879A7FB8&index=15&feature=plpp_video
http://www.youtube.com/watch?v=fd76wZvuWYo&list=PLF83D74BA4DE75897&index=38&feature=plpp_video
http://www.youtube.com/watch?v=_4QEkq7mGgw&list=PLF83D74BA4DE75897&index=39&feature=plpp_video
http://www.youtube.com/watch?v=u-_hG5Q0IKk&list=PLF83D74BA4DE75897&index=40&feature=plpp_video

 

Ch 15.8 Triple integrals in Cylindrical Coordinates

 

Triple Integrals Using Cylindrical Coordinates
http://www.youtube.com/watch?v=mQgW-FeH88Q&list=PL6105DDC4879A7FB8&index=5&feature=plpp_video
http://www.youtube.com/watch?v=cghy5cEoCNg&list=PL6105DDC4879A7FB8&index=14&feature=plpp_video
http://www.youtube.com/watch?v=tsbFhR-A_JA&list=PL6105DDC4879A7FB8&index=13&feature=plpp_video

 

Ch 15.9 Triple integrals in Spherical Coordinates

 

Triple Integrals Using Spherical Coordinates : Part 1 and Part 2
http://www.youtube.com/watch?v=JMOttmQBtmY&list=PL6105DDC4879A7FB8&index=10&feature=plpp_video
http://www.youtube.com/watch?v=UTIjALWr6GM&list=PL6105DDC4879A7FB8&index=4&feature=plpp_video

 

Ch 15.10 Change of Variables in Multiple Integrals

 

Double Integral: Change of Variables Using the Jacobian : Example 1
http://www.youtube.com/watch?v=ou2m6Hi1CSw&list=PL6105DDC4879A7FB8&index=2&feature=plpp_video
http://www.youtube.com/watch?v=pm8BJ7IbctA&list=PL6105DDC4879A7FB8&index=1&feature=plpp_video

 

Double Integral: Change of Variables Using the Jacobian : Example 2
http://www.youtube.com/watch?v=jSjFKcOZY3s
http://www.youtube.com/watch?v=0lt0e1Rhgfc&feature=relmfu

 

Triple Integrals: Change of Three Variables Using the Jacobian
http://www.youtube.com/watch?v=xHE-WI6z3Uk&list=PL6105DDC4879A7FB8&index=3&feature=plpp_video