Difference Between Curve Fitting and Surface Fitting

I am here to know more about fitting methoda supported by MatLab. I am little confused between Curve and Surface Fitting.

Answer 1

[John D'Errico]

A curve, thus y=f(x), is a function of ONE independent variable.

A surface, thus z=f(x,y), is a function of TWO independent variables.

[Mohan Gopal Tripathi]

Thanks for replying.

Does the algorithm used for curve fitting can also be used for the surface fitting?

How many methods are there in MatLab which supports Surface Fitting?

I know above questions are really big to answer, but somewhere i need to start.