Are "mad cow" and "foot and mouth" the same diseases?

Creutzfeldt-Jakob disease is a sporadic or familial prion disease. Bovine spongiform encephalopathy (mad cow disease) is a variant form. Symptoms include dementia, myoclonus, and other CNS deficits; death occurs in 1 to 2 yr. Transmission can be prevented by taking precautions when handling infected tissues and using bleach to clean contaminated instruments. Treatment is supportive.

Foot-and-mouth disease (FMD, Latin name Aphtae epizooticae), sometimes called hoof-and-mouth disease, is a highly contagious and sometimes fatal viral disease of cattle and pigs. It can also infect deer, goats, sheep, and other bovids with cloven hooves, as well as elephants, rats, and hedgehogs. Humans are affected only very rarely.

Hand, foot and mouth disease (HFMD) is caused by a number of enteroviruses in the family Picornaviridae. The most common cause is the Coxsackie A virus. HFMD is not to be confused with foot-and-mouth disease, which is a disease affecting sheep, cattle and swine, and which is unrelated to HFMD (but also caused by a member of the Picornaviridae family).

No completely different

no, mad cow disease is caused by faulty proteins in the cows system that ultimately causes brain degeneration and death. It spreads by feeding infected cattle meat to either humans or other cattle. In humans causes vCJD and its this disease that caused the mass killing of cattle back 10 yrs ago in England.
Foot and Mouth is a virus that is spread by any contact with infected cattle. The UK has had this one aswell arnd 5 years ago and its this one thats resurfaced here. As far as I know its very rarely fatal to humans.

No.