Former CIA director David Petraeus will be teaching part time as well as mentoring students who are veterans at the University of Southern California starting in the summer, officials will announce Thursday. He also will be joining the faculty at the City University of New York. Petraeus, who led the forces in Iraq and Afghanistan, resigned in November as the head of the CIA after admitting an extramarital affair with biographer Paula Broadwell. Broadwell, meanwhile, spoke publicly for the first time since the scandal at a prayer breakfast Tuesday in Charlotte, North Carolina, saying she had “made some mistakes in the past,” but she is turning to her “faith” to help her move past it.