Faculty leaders had expressed concerns that the surcharge would drive students away from engineering and business majors.
The U.C. system charges a variety of fees for different graduate programs, but, traditionally, it has charged the same fees for all undergraduate students.
The engineering and business majors were chosen because faculty in those departments often receive higher salaries and graduates usually land better-paying jobs.
The regents are still voting on a proposal to raise fees for all undergraduate students by $2,514 by next fall. If approved, undergraduates would pay $10,300 in tuition, not including room, board, and other activities.