Just Spec Ops, and it's 2 player coop. No Coop campaign.
Call of Duty: Black Ops 2 Co-Op Review - Page 2. The campaign is only one piece of the Call of Duty: Black Ops 2 triangle this year. The other two are Multiplayer and Zombies. Zombies is actually where the co-op is at, but we'll briefly touch on multiplayer.