Vector Field Line Integrals Dependent on Path Direction
Created on: July 28, 2010
Website Address: https://library.curriki.org/oer/Vector-Field-Line-Integrals-Dependent-on-Path-Direction
TABLE OF CONTENTS
Calculus
- Limits
- Derivatives
- The Chain Rule
- Derivatives of Special Functions
- Implicit Differentiation
- Minima and Maxima
- Optimization Problems
- Indefinite Integrals
- Definite Integrals
- Solids of Revolution
- Sequences and Series
- Polynomial Approximations
- Partial derivatives
- AP Calculus BC
- Partial Derivatives
- Double Integrals
- Line Integrals I
- Vectors
- Line Integrals II
- Green's Theorem
- L'Hospital's Rule
Derivatives of Special Functions
- Proof: d/dx(x^n)
- Proof: d/dx(sqrt(x))
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(e^x) = e^x
- Proofs of Derivatives of Ln(x) and e^x
- Calculus: Derivative of x^(x^x)
- Extreme Derivative Word Problem (advanced)
The Chain Rule
- Calculus: Derivatives 4: The Chain Rule
- Calculus: Derivatives 5
- Calculus: Derivatives 6
- Derivatives (part 7)
- Derivatives (part 8)
- Derivatives (part 9)
Line Integrals II
- Using a line integral to find the work done by a vector field example
- Parametrization of a Reverse Path
- Scalar Field Line Integral Independent of Path Direction
- Vector Field Line Integrals Dependent on Path Direction
- Path Independence for Line Integrals
- Closed Curve Line Integrals of Conservative Vector Fields
- Example of Closed Line Integral of Conservative Field
- Second Example of Line Integral of Conservative Vector Field
This video establishes that vector-valued functions, as opposed to scalar functions, are path direction dependent.
