For years, Eastern Michigan played basketball in Bowen Field House which is on campus and within walking distance. In the 90's, they decided they needed to replace the Field House and construction on its replacement began in 1997. It is located right next to Rynearson Stadium.
Construction of the Convocation Center was completed in 1998 and it was opened with a game against the University of Michigan. It has a capacity of 8,884 and has a few suites. The Convocation Center is currently used by both EMU basketball teams and a few other sports. At other times it is used for local graduations and concerts. It's actually a pretty nice facility.
One of the things I like about the Convocation Center is the fact they used glass on the north side. Because of that, I think the football stadium looks nicer.