2. Calculus
  3. Vector Calculus and Theorems

Micro-courses:15

1.

Derivatives

6 Concepts

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4.

Integrals

17 Concepts

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10.

Sequences and Series

16 Concepts

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11.

Vectors in Space

10 Concepts

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Vector Calculus and Theorems

19 Concepts87 Views
Introduction to Vector Fields
01:28

1.
Introduction to Vector Fields

Gradient Fields
01:27

2.
Gradient Fields

Line Integrals in the Plane
01:25

3.
Line Integrals in the Plane

Line Integrals in Space
01:25

4.
Line Integrals in Space

Applications of Line Integrals
01:26

5.
Applications of Line Integrals

The Fundamental Theorem for Line Integrals
01:26

6.
The Fundamental Theorem for Line Integrals

Conservative Vector Fields
01:29

7.
Conservative Vector Fields

Green’s Theorem
01:27

8.
Green’s Theorem

Extended Versions of Green’s Theorem
01:27

9.
Extended Versions of Green’s Theorem

Curl and Divergence of Vector Fields
01:24

10.
Curl and Divergence of Vector Fields

Vector Forms of Green’s Theorem
01:26

11.
Vector Forms of Green’s Theorem

Parametric Surfaces
01:30

12.
Parametric Surfaces

Tangent Planes to a Parametric Surface
01:22

13.
Tangent Planes to a Parametric Surface

Surface Integrals
01:28

14.
Surface Integrals

Oriented Surfaces
01:30

15.
Oriented Surfaces

Surface Integrals of Vector Fields: Flux
01:22

16.
Surface Integrals of Vector Fields: Flux

Stokes’ Theorem and Its Applications
01:24

17.
Stokes’ Theorem and Its Applications

Divergence Theorem in 3D Space
01:20

18.
Divergence Theorem in 3D Space

Vector Calculus: Problem Solving
01:20

19.
Vector Calculus: Problem Solving