Muema had 105 yards on 14 attempts, and Katz was 16 of 22 passing for 181 yards for the Aztecs (4-3, 2-1 Mountain West), who were not penalized in a game for the first time since 1973.
Conner Smith was 18 of 22 for 165 yards and an interception for the Rams (1-6, 0-3).
SDSU converted all three of Colorado State's turnovers into touchdowns, and scored another TD after the Rams gave the ball up on downs.
On the first play from scrimmage in the second half, Marquise Law fumbled for Colorado State, and Jake Fely recovered for the Aztecs. Two plays later, Katz scrambled to the end zone from 11 yards out to give SDSU a 24-7 lead.
Largent had two interceptions and Fely two sacks for the Aztecs, who have won seven of the last eight meetings between the teams.
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Linebacker Myles Jack, who suffered a season-ending knee injury, said Thursday he decided to leave UCLA and enter the 2016 NFL draft because he wants to be compensated for his skills.
The tougher tests await down the road for No. 3 Baylor Bears, but coach Art Briles has seen enough of his Bears to know this is his best team.
A decision has been made that Randy Edsall will not be the football coach at Maryland next season, and discussions are taking place about how and when to separate, a source said Thursday night.
Florida State running back Mario Pender has been released from the hospital but could be given a medical redshirt if he cannot return to the field this season.
Tennessee chancellor Jimmy G. Cheek has issued a statement amid rumors that alleges coach Butch Jones fought and punched senior offensive lineman Mack Crowder during a fall practice session.
With the addition of a few tweaks, UConn football coach Bob Diaco is still planning to bring a rivalry trophy with him to Florida on Saturday when the Huskies play UCF.