Chris Brown -- Anger Rehab Graduate ... Pursues Music Career

Chris Brown finally threw something that didn't get him in trouble ... his cap, because he's graduated from an exclusive anger management rehab school in Malibu ... and he's back to making music.

Brown was at Universal City Walk shooting a music video over the weekend.

Chris has completed his 90 days of live-in rehab, after the judge in the Rihanna beating case ordered him to attend ... or else.

You'll recall ... Chris entered a rehab facility on his own, shortly after getting arrested for assaulting a dude in D.C., but he was booted out after going into a rage and throwing a rock through his mom's car window.

Climb every mountain, Chris.