WHILE CLIMBING THRU 6,500 FEET MSL IN AN ARSA, THE FLT CREW OF THE AAL DC-9-82 OBSERVED A SMALL AIRCRAFT APPROACHING THEIR AIRCRAFT FROM DEAD AHEAD. THE SMALL AIRCRAFT WAS AT THE SAME ALTITUDE AND APROX 1/4 MILE AHEAD OF THEIR POSITION. THE SMALL AIRCRAFT WAS NOT COMMUNICATING WITH ATC AND CONTINUED ITS COLLISION COURSE TOWARDS THE TRANSPORT AIRCRAFT. THE DC-9-82 CREW INITIATED A RIGHT CLIMBING TURN AWAY FROM THE SMALL AIRCRAFT. THE CREW ESTIMATED THAT THE SMALL AIRCRAFT PASSED 50 FEET BELOW AND TO THE LEFT OF THEIR AIRCRAFT.