Jackson's decisive trey gave him 15 points for the game and Ben Brust added 13 as the Badgers (21-10, 12-6 Big Ten) finished the season on a positive note after dropping their previous two contests.
Jared Berggren donated a double-double of 12 points and 10 rebounds in the victory.
The Nittany Lions (10-20, 2-16) were led by Jermaine Marshall with 23 points.
D.J. Newbill added 22 points and five assists in the loss.