You can learn a lot about scientific advances from taking a tour of a medical institution. Check to see if Holmes Regional Medical Center is open to visitors while you're in town.
You'll be spoiled for sightseeing choice in Melbourne. Holmes Regional Medical Center is an ideal place to start here, but there are many other interesting spots to consider. Melbourne Square Mall, Indialantic Beach, and Satellite Beach Beach are near the health care institution and will round out your day nicely.