An unpressured Stave found Jacob Pedersen alone near the Iowa's 5-yard line, and Pedersen strolled into the end zone for a 44-yard TD grab and a 7-6 Wisconsin lead with 1:49 left in the first half.
It was the first time Iowa had trailed at the break all season.
The Hawkeyes certainly had their chances, though.
Iowa got inside the Badgers 12-yard line three times, but had to settle for field goals of 28, 22 and 29 yards from Mike Meyer. The Hawkeyes were held to just three points in the second half by an opportunistic Wisconsin defense.
"The turnovers played a key role in this football game. When these two teams play for years to come it's going to be just like that," Andersen said.