Chapter 16: Vector Calculus

3D Vector Field Plotter

Vector Field Plotter (Geogebra)

Intro to Vector Fields (16.1)

Gradients and Vector Fields (16.1)

Parametrizing a Path (16.2)

Line Integrals in R^2 (16.2)

Line Integrals in R^3 (16.2)

Line Integrals of Vector Fields (16.3)

Fundamental Theorem of Line Integrals - Part 1 (16.3)

Fundamental Theorem of Line Integrals - Part 2 (16.3)

Green's Theorem - Part 1 (16.4)

Green's Theorem - Part 2 (16.4)

What is Curl? (16.5)

2D Curl Formula (16.5)

3D Curl Formula Part 1 (16.5)

3D Curl Formula Part 2 (16.5)

Curl Calculation Example (16.5)

Divergence Part 1 (16.5)

Divergence Part 2 (16.5)

Divergence Part 3 (16.5)

Basic Surface Integral (16.7)

Surface Integral Example (16.7)

Vector Representation of Surface Integrals (16.7)

Surface Integrals of a Vector Field - Part 1 (16.7)

Surface Integral of a Vector Field - Part 2 (16.7)

Stoke's Theorem - Part 1 (16.8)

Stoke's Theorem - Part 2 (16.8)

Divergence Theorem - Part 1 (16.9)

Divergence Theorem - Part 2 (16.9)

Green's Theorem Worksheet

Desmos Parametric Surface Plotter

Graphulus Parametric Surface Plotter

Khan Academy: Stokes Theorem Lecture Series

Curl and Divergence Animations (16.5)

Divergence Theorem (16.9)

Divergence Theorem (16.9)

The "Big 3" Theorems

The "Big 3" Theorems

The "Big 3" Theorems

"An Essay on the Application of mathematical analysis to the theories of electricity and magnetism" (G. Green, 1828)

More Information regarding Divergence (16.5)

More Information regarding Curl (16.5)

More Information regarding Stokes' Theorem (16.8)

More Information regarding Stokes' Theorem (16.8)

Student Video: Stokes' Theorem (16.8)

Student Video: Divergence Theorem (16.9)

Student Video: Green's Theorem (16.4)

Student Video: Stokes' Theorem (16.8)

Student Video: Divergence Theorem (16.9)

Student Video: Green's Theorem (16.4)

Student Video: Divergence Theorem (16.9)