Since your just doing tumbling they don't teach the beam, bars or vault. You just focus on floor so you'll learn forward and backward rolls, cartwheels, handstands, front and back walkovers, front and back handsprings, round-offs etc. Hope I helped!
Tumbling is supposed to be on a tumble track which is a long extra springy strip of matted floor with a big crash mat at the end. You might be using an air-filled tumble track or working on the floor though. Especially as you are just starting you won't be building the long tumble passes that gymnasts do in competitions yet. In competition gymnastics tumblers do two passes, one straight and one twisting, they use skills such as whips (which is like a flic without hands) to build up momentum for a big "dismount" skill like a multiple or twisting somersault. You are going to start out working on more basic skills to build up your strength, balance and control.
Tumbling is all on the floor tricks. Tucks, back walkovers, back handsprings, handstands, round offs, cartwheels, layouts, bridges. look some stuff up on youtube
Floor. Cartwheels, round offs, handsprings, walkovers...