Calculus Chapter 16

Ch 16  Vector Integrals

 

Ch 16.1 Vector Fields

 

Introduction to Vector Fields
http://www.youtube.com/watch?v=pwiSCrlP98o&list=PLAE4F70CAFD544AE0&index=9&feature=plpp_video

 

Gradient Fields
http://www.youtube.com/watch?v=4tqdQ27CIoM

 

Ch 16.2 Line Integrals

 

Introduction to Line Integrals
http://www.youtube.com/watch?v=_60sKaoRmhU

 

Line Integrals in Two dimensions
http://www.youtube.com/watch?v=2ZhmB2a-HQU&list=PLAE4F70CAFD544AE0&index=1&feature=plpp_video
http://www.youtube.com/watch?v=fjEvsinvtnw

 

Line Integrals in Space

http://www.youtube.com/watch?v=HIBwmbN8m9Q&list=PLAE4F70CAFD544AE0&index=2&feature=plpp_video

 

Line Integral of Vector Fields
http://www.youtube.com/watch?v=3edJPRkCV9k&list=PLAE4F70CAFD544AE0&index=3&feature=plpp_video

 

Ch 16.3 The Fundamental Theorem for Line Integrals

 

The Fundamental Theorem of Line Integrals – Part 1 and Part 2
http://www.youtube.com/watch?v=Td6g2bvJh18&feature=relmfu
http://www.youtube.com/watch?v=I8BtXV-xgxM&feature=relmfu

 

Fundamental Theorem of Line Integrals – Closed Path
http://www.youtube.com/watch?v=00RN-hw9BXc&feature=relmfu

 

Ch 16.4 Green’s Theorem

 

Green’s Theorem : Part 1 and Part 2
http://www.youtube.com/watch?v=sDby9VzPoj4&feature=relmfu
http://www.youtube.com/watch?v=oXISOEqd0X4&list=PLAE4F70CAFD544AE0&index=10&feature=plpp_video

 

Determining Area using Line Integrals
http://www.youtube.com/watch?v=WmGa-OpDP80

 

 

Ch 16.5 Curl and Divergence

 

The Curl of a Vector Field
http://www.youtube.com/watch?v=Ia7Harz_TLk

 

Curl and Showing a Vector Field is Conservative on R_3
http://www.youtube.com/watch?v=p1rN6l6tS0o&feature=relmfu

 

The Divergence of a Vector Field
http://www.youtube.com/watch?v=t-MvmFZttyI
http://www.khanacademy.org/math/calculus/v/divergence-1
http://www.khanacademy.org/math/calculus/v/divergence-2
http://www.khanacademy.org/math/calculus/v/divergence-3

Flux Form of Green’s Theorem
http://www.youtube.com/watch?v=0jKqk4pvEk8

 

Ch 16.6 Parametric Surfaces and Their Areas Parameterized Surfaces

 

Parametric Surfaces and Their Areas

Parameterized Surfaces
http://www.youtube.com/watch?v=MmTNkRA0yyk

 

Area of a Parameterized Surface
http://www.youtube.com/watch?v=IdVILLByihs&feature=relmfu

 

Ch 16.7 Surface Integrals

 

Surface Integrals with Explicit Surface : Part 1 and Part 2
http://www.youtube.com/watch?v=ppospL53wPc
http://www.youtube.com/watch?feature=endscreen&NR=1&v=XntA5hj_HBg

 

Surface Integrals with Parameterized Surface – Part 1 and Part 2
http://www.youtube.com/watch?v=Go42xzsTA3Q
http://www.youtube.com/watch?v=59N-6SLZMno&feature=endscreen&NR=1

 

Surface Integral of a Vector Field
http://www.youtube.com/watch?v=y-gsqWf3Gms
http://www.youtube.com/watch?v=9H4Q-FEKwGw&feature=endscreen
http://www.youtube.com/watch?v=XA1m4XwvOFw

 

 

Ch 16.8 Stokes’s Theorem

 

Stoke’s Theorem – Part 1 and Part 2
http://www.youtube.com/watch?v=YXf3aKxgELY
http://www.youtube.com/watch?v=_ubpnd8F85g&feature=endscreen&NR=1

 

Ch 16.9 Divergence Theorem

 

The Divergence Theorem – Part 1 and Part 2
http://www.youtube.com/watch?v=jJHta6WfzEQ
http://www.youtube.com/watch?feature=endscreen&NR=1&v=NpLQSvYuCac
http://www.youtube.com/watch?v=eSqznPrtzS4