USC's performance in its season-opening victory over Fresno State helped the Trojans move up one spot, to No. 14, in the Associated Press media poll and USA Today coaches' poll.
In the media poll, top-ranked Florida State is followed by Alabama, Oregon, Oklahoma and Auburn.
The top five in the coaches poll: Florida State, Alabama, Oklahoma, Oregon and Auburn.
The Cardinal defeated UC Davis, 45-0, in its opener.
Stanford dropped from No. 11 to No. 13 in the media poll but moved from No. 11 to No. 10 in the coaches poll.
USC defeated Stanford, 20-17, last season at the Coliseum.