While President Obama was busy delivering a commencement address to UC Irvine graduates the other day, his older daughter, Malia, was spotted touring UC Berkeley with friends.

UC officials are mum, but a source in the know tells us the 15-year-old — who has a summer job in L.A. working as a production assistant on a Steven Spielberg-produced sci-fi TV series — showed up for a tour of the campus without either of her parents in tow.

“The White House has really low-keyed this,” our source said. “She came with a couple of friends (and) they did the regular tour, and probably some extra stuff.”

We hear Malia also found time to visit Stanford, which another president’s daughter, Chelsea Clinton, attended.

A Stanford spokeswoman said she was unaware of any visit, and that in any event, it’s university policy not to divulge information on potential VIP applicants.

As for which school might have the edge?

According to our source, “She made it clear Berkeley compared very favorably with Stanford.”