Originally Posted by

**fredrick08** let me say the question in full.

A catenoid is a surface of revolution, points p(tilda) belongs to C, can be parametrized as p(tilda)=(c*cosh(u/c)cos(v),c*cosh(u/c)sin(v),u)

calculate dx(tilda)/du|p and dx(tilda)/dv|p, the basis vectors for the tangent space to C at p(tilda),Tp(C)

does that make sense to you? sorry but my lecturer taught me lin alg last yr, and since diff geo lecturer died, he took over... my lecturer is pretty hopeless, and doesnt know much about this topic.. so its really hard to learn from him.