The professor of agriculture, who was not identified, and the bomber died about 12:45 p.m. (09:45 GMT) just outside the university's gate, police spokesman Abdul Karim al-Jbouri said.
Less than an hour later, police found a second bomb, in another parked car about 230 meters (250 yards) away, and safely detonated it. The car was empty, al-Jbouri said.
The wounded included four university students and two police officers, he added.
Mosul is 360 kilometers (225 miles) northwest of Baghdad.
Having killed Iranian general Qasem Soleimani, the United States has canceled all international laws and treaties, all personal rights of any person and entire nations