Continuity mistake: In the last fight against Bane, Bane has got Robin and Batgirl by their throats against an icy wall. In a close-up of Batgirl, Batgirl's right hand is near Bane's spiked wrist guard. However, in the very next shot, her right hand is more near Bane's elbow.
Continuity mistake: Once they've obtained the cure for Alfred and are back at Wayne Manor, Dick's back in his regular Robin costume instead of the newer one he wore at the observatory.
Continuity mistake: At the lab, Freeze starts to laugh hysterically and raises both arms up to his face. A shot later, they're lowered at hip level.
Continuity mistake: After the cop has his keys stolen by Ivy, check the fingers on his hand leaning on the wall: they change position depending on the shot.
Continuity mistake: Ivy takes the keys from the cop and lowers her right hand. From a different angle, it's raised.
Continuity mistake: When Freeze freezes Frosty while he holds a newspaper, Frosty's position and the way the newspaper folds change between shots. The position and number of icicles around him also change drastically.
Continuity mistake: While Bane is driving the limo, after Ivy puts on the wig, the gloves on her hands disappear.
Continuity mistake: Bane is pulling Robin and Batgirl but in the next shot he's pushing them.
Answer: There's no way of knowing whether or not she "had the time" to study martial arts. Regardless of her studies, she could have made time to pursue this as an extra-curricular activity. Universities can have classes, clubs, competitions, and student groups for martial arts on campus that anyone can participate in. She may also have been studying it since childhood. She was also a botanist, so even with a rigorous academic schedule, she would likely have more free time than a medical student.
raywest ★