Domains for large organisations are exceedingly complex webs of power and politics in most cases. Stanford is pretty big in an organisational sense (I don't really know, I am just assuming based on the amount of money they have in the bank). I wouldn't be surprised if they are using generic domains because it is easier than trying to get other departments, powerbrokers and administrations to all agree on something.

While I disagree with the arrogant label, I do wish that a standard class.stanford.edu or stanford.edu/class template was used. (Not to leave the domains open for others, but to prevent confusion later when the space gets more crowded, as I suspect it will.)

Arrogant how? I have no college education and I am currently developing a health application so I am extremely excited to have the opportunity to take these courses. There is nothing arrogant about this and not only do I applaud them for being the first school to do this but I hope that other schools ie: MIT etc... follow suit.