# Level set vs level curve

1. Mar 1, 2015

### Calpalned

Whats the difference between a level set and a level curve, with regards to multi-variable calculus?

2. Mar 1, 2015

### MisterX

They are very similar concepts but a level set is merely a set of points $\mathbf{x}$ such that $f(\mathbf{x}) = c$, and a level curve is a special case when those points take the form of a curve.

3. Mar 1, 2015

Thank you
Thank you

4. Mar 4, 2015

### HallsofIvy

Calpalned, you asked this same question under "Calculus and Beyond Homework". Please do not post the same question more than once. That can get you suspended.