His best final-round score was a 70 last year, when he finished third, three strokes behind Woods.
Fourteen players were five shots or fewer behind Woods, whose lead might have been larger if not for several poor putts.
But Weir has not won since and is more than $1.5 million behind Woods in the money race.
He finished the week second behind Woods, his best showing by far since the victory last August.
He finishes the year second on the ranking list behind Woods.
"I don't feel intimidated by him at all," said May, who shot a 66 today and is one stroke behind Woods.
Big taxied to the right side, just behind Woods.
Playing six groups behind Woods, Burns had more holes to play, and he did not panic.
Harrington was in second, three strokes behind Woods, when the round began.
By late this afternoon, most players were so far behind Woods, they needed a telescope to see him.