Embedded Files
Chapter 16 Video # 1: Introduction to Vector Fields(11:29)
Chapter 16 Video # 2: Find the Gradient of the Vector Field f(x,y) = x^3y^5(3:21)
Chapter 16 Homework # 1: Page 1032 # 2, 5, 11-18, 26, 29, 30-32
Chapter 16 Video # 3: Defining a Smooth Parameterization of a Path(8:27)
Chapter 16 Video # 4: Please Don't Take Notes: Introduction of Line Integrals(18:48)
Chapter 16 Video # 5: Line Integral in R^2(9:27)
Chapter 16 Video # 6: Line Integral in R^3(8:10)
Chapter 16 Homework # 2 Page 1043 # 1, 3, 10
Chapter 16 Video # 7: Please Don't Take Notes: Line Integrals and Vector Fields(16:46)
Chapter 16 Video # 8: Line Integral of Vector Fields(7:48)
Chapter 16 Video # 9: Line Integral Center of Mass(6:56)
Chapter 16 Homework # 3: Page 1043; # 17, 21, 29, 33
Chapter 16 Video # 10: 2d curl intuition(3:53)
Chapter 16 Video # 11: 2d curl formula(5:42)
Chapter 16 Video # 12: 2d curl example(5:38)
Chapter 16 Video # 13: 3d curl intuition, part 1(5:49)
Chapter 16 Video # 14: 3d curl intuition part 2(8:16)
Chapter 16 Video # 15: 3d curl formula, part 1(7:39)
Chapter 16 Video # 16: 3d curl formula, part 2(6:11)
Chapter 16 Video # 17: 3d curl computation example(5:34)
Chapter 16 Homework # 4 Page 1068 # 2a, 4a
Chapter 16 Video # 18: Conservative Vector Field(8:04)
Chapter 16 Video # 19: Determining the Potential Function of a Conservative Vector Field(6:57)
Chapter 16 Homework # 5 Page 1053; # 4, 7
Quiz # 1 2016
Chapter 16 Video # 20: Please Don't Take Notes: Path Independence for Line Integrals(17:13)
Chapter 16 Video # 21: The Fundamental Theorem of Line Integrals Part I(9:14)
Chapter 16 Homework # 6 Page 1053; # 11, 14, 17-19
Chapter 16 Video # 23: Fundamental Theorem of Line Integrals-Closed Path/Curve(5:08)
Chapter 16 Homework # 7 Page 1053 # 23,24, 29a
Quiz # 3
Chapter 16 Video # 24: Please Don't Take Notes: Proof of Green's Theorem Part I (14:25)
Chapter 16 Video # 25: Please Don't Take Notes: Proof of Green's Theorem Part II(19:27)
Chapter 16 Video # 26: Green Theorem Part I(10:30)
Chapter 16 Video # 27: Green's Theorem Part I(8:02)
Chapter 16 Video # 28: Green Theorem Part II(7:36)
Chapter 16 Video # 29: Green's Theorem Part III(6:41)
Please Refresh your memory on the following parameterization of a curve:
Chapter 16 Video # 30: Defining a Smooth Parameterization of a Path(8:27)
Chapter 16 Homework # 4: 16.4; # 3, 6, 8, 13, 17, 20
Chapter 16 Problem Set # 4
Chapter 16 Video # 31: Review: Gradient(9:44)
Chapter 16 Video # 32: Review: Gradient of a Scalar Field(10:54)
Chapter 16 Video # 33: Divergence Part I(10:20)
Chapter 16 Video # 34: Divergence Part II(10:51)
Chapter 16 Video # 35: Divergence Part III(10:48)
Chapter 16 Video # 36: Curl Part I(9:32)
Chapter 16 Video # 37: Curl Part II(10:16)
Chapter 16 Video # 38: Curl Part II(10:22)
Chapter 16 Worksheet # : Paul's Online Notes: Takes notes from "Facts" to "Example 3"
Chapter 16 Problem Set # 5
Chapter 16 Video # 25: Determining Area Using Line Integrals(5:22)
Chapter 16 Video # 26: Parameterized Surfaces(6:56)
Chapter 16 Video # 27: Area of a Parameterized Surface(9:59)
Chapter 16 Homework # 6: 16.6; # 1, 3, 9, 19, 29, 33, 54
Chapter 16 Problem Set # 6
Chapter 16 Video # 33: Surface Integral Example Part I: Parameterizing the Unit Sphere(11:04)
Chapter 16 Video # 34: Surface Integral Example Part II: Parameterizing the Unit Sphere(12:49)
Chapter 16 Video # 35: Surface Integral Example Part III: Parameterizing the Unit Sphere(12:38)
Chapter 16 Video # 36: Surface Integrals with Parametrized Surface Part I(7:07)
Chapter 16 Video # 37: Surface Integrals with Parameterized Surface Part II(7:41)
Chapter 16 Video # 38: Surface Integrals of a Scalar Function(9:09)
Chapter 16 Video # 39: Surface Integral over a Graph(5:02)
Chapter 16 Video # 40: Surface Integral with Explicit Surface Part I(8:01)
Chapter 16 Video # 41: Surface Integral with Explicit Surface Part II(5:45)
Chapter 16 Video # 42: Surface Integral: Basic Example(7:07)
Chapter 16 Video # 43: Surface Integral over a Triangle(14:17)
Chapter 16 Video # 44: Finding the Surface Integral of the Parametric Surface(8:34)
Chapter 16 Video # 45: Conceptual Understanding of Flux in Three Dimensions(8:22)
Chapter 16 Video # 46: Constructing a Unit Normal Vector to a Surface(6:22)
Chapter 16 Video # 47: Vector Representation of a Surface Integral(9:34)
Chapter 16 Video # 48: Surface Integral of a Vector Field Part I (6:41)
Chapter 16 Video # 49: Surface Integral of a Vector Field Part II(5:27)
Chapter 16 Video # 50: Surface Integral and Flux(12:59)
Chapter 16 Video # 51: Flux Example 2 Part I(9:52)
Chapter 16 Video # 52: Flux Example 2 Part II(2:06)
Homework Wednesday 28th and Thursday 29th
Problem Set Tuesday June 3rd and Thursday June 6th
Quiz Friday June 7th
Chapter 16 Homework # 7: 16.7; # 6, 8, 11, 15, 19, 26
Chapter 16 Problem Set # 7
Chapter 16 Video # 34: Stoke's Theorem Part I(11:13)
Chapter 16 Video # 35: Stoke's Theorem Part II(6:13)
Chapter 16 Homework # 8: 16.8; # 3, 5, 8, 11, 19
Chapter 16 Problem Set # 8
Chapter 16 Video # 36: The Divergence Theorem Part I(6:10)
Chapter 16 Video # 37: The Divergence Theorem Part II(6:04)
Chapter 16 Homework # 9: 16.9; # 1, 5, 10, 19, 25, 27
Chapter 16 Homework # 9
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