Durham added 25 to their overnight total with Mustard out for 120 when he was caught behind off Ryan Sidebottom and Liam Plunkett followed him to the pavilion after he was bowled first ball.
Mitchell Claydon added 1 before he was caught behind off Adams, leaving Scott Borthwick and Mark Davies in the middle.
The dismissal of Scott Borthwick, caught by Mullaney off Adams for 68 brought the Durham innings to an end with 372 on the board.
In reply, Notts lost Samit Patel in the first over, Mitchell Claydon picking up the wicket when he was caught in the covers by Scott Borthwick for just 4. Alex Hales lasted until the 11th over before he was caught behind off Mark Davies for 13.
At lunch Notts were 50-2 with Mark Wagh 24* and Adam Voges 3*.
Wagh looked to have settled out in the middle but was ousted by Plunkett in the tenth over of his spell for 30 leaving Nottinghamshire 71-3.
Nottingham passed the hundred mark in the 41st over and tea they were 145-3 with Voges 47* and Brown 34*.
Davies economical bowling was rewarded with another wicket when Voges was out lbw on 48 as Notts reached 146. Mark Wood came on as substitute shortly after due to Davies requiring treatment and caught Ali Brown off Borthwick just after he passed the fifty mark.
Captain Chris Read reached his fifty in 83 deliveries, including six fours and a six just before the new ball was taken and he was dismissed after 2.4 overs, caught behind off Plunkett for 56.
At the close of play Notts were 257-6 with Sidebottom, who leaves the Nottingham side to join up with England tomorrow and will be replaced in the field by Darren Pattinson, 5* and Mullaney 23*.
Follow the action from the day at www.durhamccc.co.uk/live-match-chat
Head Coach, Geoff Cook, spoke to durhamcccc.co.uk at the close of play, “Getting Read out toward the end was a plus today, we’ve got a new ball to play with tomorrow morning but sadly we’re not firing on all cylinders on the bowling front, the three guys on the pitch are all struggling a bit with injury and it looks as though Mark Davies may not play any more part in the game but on the plus side the wicket is taking a bit of spin and Scott Borthwick was excellent today. He’s strung together two top class day, a good innings of 60/70 and today showed what he is capable of and I think he has a terrific future ahead of him.
“On the injury front Stephen won’t play again this year which is a big shame for him and for us. He’s only played half the championship games this season and when allied up with Graham Onions not making any appearances and Thorp making only half as well, last year’s successful attack has been decimated.
“Ben Stokes is probably going to be out for about three months, he has a broken foot so that’s a real shame. He’s had an excellent first season and it’s unfortunate for it to end with an injury.
“ There’s a lot of cricket to be played at both ends of the table and we need to collect as many points from every game that we can. Each of our forthcoming games are going to be pretty tough and we have to be on our guard to gather as many points as we can.”