Line integrals and Green's theorem | Multivariable Calculus | Khan Academy (English)

   Friday, July 09, 2021   

Starting a new Lecture Notes Series on Line integrals and Green's theorem | Multivariable Calculus | Khan Academy

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Line integrals and Green's theorem | Multivariable Calculus | Khan Academy
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Lecture Description of this above Topic:

Lecture 1: Scalar field line integral independent of path direction

Lecture 2: Using a line integral to find the work done by a vector field example

Lecture 3: Derivative of a position vector valued function

Lecture 4: Differential of a vector valued function

Lecture 5: Closed curve line integrals of conservative vector fields

Lecture 6: Path independence for line integrals

Lecture 7: Second example of line integral of conservative vector field

Lecture 8: Example of closed line integral of conservative field

Lecture 9: Line integral example 2 (part 2)

Lecture 10: Introduction to the line integral

Lecture 11: Constructing a unit normal vector to a curve

Lecture 12: Parametrization of a reverse path

Lecture 13: 2D divergence theorem

Lecture 14: Vector field line integrals dependent on path direction

Lecture 15: Green's theorem example 1

Lecture 16: Green's theorem proof part 1

Lecture 17: Green's theorem proof (part 2)

Lecture 18: Conceptual clarification for 2D divergence theorem

Lecture 19: Position vector valued functions

Lecture 20: Green's theorem example 2

Lecture 21: Line integrals and vector fields

Lecture 22: Line integral example 1

Lecture 23: Vector valued function derivative example

Lecture 24: Line integral example 2 (part 1)