Pages similar to: Finding a potential function for conservative vector fields
- Finding a potential function for three-dimensional conservative vector fields
How to find a potential function for a given three-dimensional conservative, or path-independent, vector field. - The gradient theorem for line integrals
A introduction to the gradient theorem for conservative or path-independent line integrals. - How to determine if a vector field is conservative
A discussion of the ways to determine whether or not a vector field is conservative or path-independent. - A path-dependent vector field with zero curl
A counterexample showing how a vector field could have zero curl but still fail to be conservative or path-independent. - A conservative vector field has no circulation
How a conservative, or path-independent, vector field will have no circulation around any closed curve. - A simple example of using the gradient theorem
An example of using the gradient theorem to calculate the line integral of a conservative, or path-independent, vector field. - Testing if three-dimensional vector fields are conservative
Examples of testing whether or not three-dimensional vector fields are conservative (or path-independent). - An introduction to conservative vector fields
An introduction to the concept of path-independent or conservative vector fields, illustrated by interactive graphics. - The fundamental theorems of vector calculus
A summary of the four fundamental theorems of vector calculus and how the link different integrals.