Brandenburg, 51, replaces Smokey Gaines, who resigned from San Diego State last month after the Aztecs' 5-25 season.
Brandenburg had a 176-97 record in nine seasons at Wyoming. The Cowboys were 24-10 this season and defeated Virginia and UCLA in the NCAA tournament before losing to Nevada Las Vegas, 92-78, in the regional semifinals last Friday. It was the furthest Wyoming had gone in the NCAA playoffs.
"I had a good situation at the University of Wyoming," Brandenburg said at a news conference announcing his appointment. "We had a good team coming back . . . but I thought this was too good an opportunity to pass up."
According to Wyoming Athletic Director Paul Roach, Brandenburg's contract package at Wyoming was worth $140,000 to $160,000 annually. San Diego State pays a base salary of $57,000, plus Miller said Brandenburg will receive income from a coaches television show and basketball camps. Brandenburg's total San Diego State package is expected to exceed $100,000.
Brandenburg's college coaching record is 215-113. He was named WAC coach of the year in 1981, 1982 and 1986, when his teams won conference championships.