A new community center was unveiled Wednesday at Prospect Hill Terrace, one of the city’s largest low-income housing developments. Brandeis and Bentley universities collaborated with various local and state agencies on the yearlong project, which involved renovating a 5,000-square-foot vacant building. Community service leaders from the schools oversaw the initiative as it was developed, and students will help develop a curriculum for children at the new center, according to a statement from Brandeis. The new facility will offer after-school activities, tutoring, and classes in computer programming, fitness and health, and English, as well as resumé writing and job skill training. The project was funded by a $230,000 community development grant provided through the city, and $40,000 from the state. The Waltham Housing Authority, the Police Department, and the Prospect Hill Tenants Association also collaborated on various aspects of the project. Bentley students also designed a brochure, produced a video, and developed a business plan for the facility, and a faculty member wrote the request for the city grant, according to the statement. “This community center, which will enrich the lives of so many families, truly shows the power of student leadership from Brandeis and Bentley,” said Bentley president Gloria Larson. “They helped to make this happen by applying their perseverance, skills, and creativity.” The opening follows the building of a 5,000-square-foot playground, overseen by a national nonprofit, KaBOOM!, and assembled with the help of New England Patriots players, at the development.