is there any way to do the co-op missions in dead space 3 classic mode

The pair of Clarke and Carver is a formidable team. If you want more of the blood and guts of the co-op details I suggest checking out our Dead Space 3 Co-Op FAQ. I wish there were more missions like these.

I played through the rest as Issac, and having my co-op partner describe to me what was happening was even creepier. I played through an early mission as Carver, and it was creepy. These side missions offer more back story on Carver, and your experience will differ greatly depending on which character you play as. There is no difference in how the characters play, but there are a few missions that can only be accessed through coop mode. The host player will take the roll of Clarke, the guest will play as Carver. Important items, like weapon parts and artifacts, are credited to both players no matter who picks them up. Players will receive their own ammo, health, stasis, and resource drops.

Each player keeps their own valuable inventory at the end of a co-op session. When you continue your individual game you'll be able to load your own uninterrupted campaign or load up your advanced save file. If you're just starting out you can jump into a buddy's Chapter 10 game, if you want. Story progress is saved for both characters. Carver's personal hell is invisible to Issac.

Is there any way to do the co-op missions in dead space 3 classic mode