I have a homework due in about 9 hours and I really need help, I don't understand how to do these types of problems and the professor is really hard to understand.
The function is x(u,v) = (u+v, u-v, uv), at the point P = (2,0,1)
The question says to Find the Gauss curvature, mean curvature, principal curvatures and the corre-sponding principal directions of the function.
I've gone through this but there's just so many calculations to do and I feel like I must've messed up somewhere.
I know that in order to find all these things, you need the first and second fundamental forms, along with the principal normal.
Can someone please help me?