On level 6 in the second cave, go to the other side were you'll see the crashed pelican.

Go back through the door and look to the right.

You'll see two doors. Go through either door and you'll see the terminal.

After you destroy the scarab and you kill all the sleeping grunts, you'll come to a staircase.

Go behind the staircase, and you'll see a door. The terminal is in the door.

On the 7th level in tower 1 and 3 when you get on the elevator, jump on the opposite side of were you came. You'll see the terminal.

There is another terminal on the second tower.

On level 8, you'll come to a big purple room. The terminal is under the floor.

On the last level at the beginning when you come to that cliff, look to the right and go that way.

Jump on the walkway and go in the door.

You'll know that your doing it right when Cortana asks you where you're going.

Turn right 2 times and you should see the terminal.