Symptoms: Besides having a dead battery..........
If you charge or jumpstart your vehice's battery and successfully get it running to only have it mysteriously die and have no lights, radio, etc.; it is probably you alternator. If your vehicle will run constantly on it's own, but will not start after shutting it off, it could be your battery.
If your battery will hold a charge on it's own, but goes dead a while after you start and run your vehicle, it is probably your alternator.
Or, if you can get it running, it should have an alternator light that will come on when there is a problem. I would almost bet your car has one... my 1970 ford does.
GOOD LUCK