Hack the sentry bots on the floor and go down the hall and through the door that says Candidate Conversion. There’s a machine gun turret off to the left and a rocket turret to the right.
When they’re dealt with, go to the back of the room to find an audio log which will tell you about the boots. Go through the next door, past the oil slick, over the railing and up the stairs to find the Big Daddy body suits.
Grab one and go through the door marked Candidate Induction. You can grab a helmet in here, watch out for spider splicers though, you can use the water on the floor to electrocute them. Exit the room, turn right and go to the main hall then take the door marked Mendel Memorial Library.