ST. LOUIS — A part-time student with a history of crime and mental health issues was charged Wednesday for allegedly shooting an administrator at a downtown business school in a dispute over financial aid, then turning the gun on himself.

St. Louis Circuit Attorney Jennifer Joyce charged Sean Johnson, 34, of St. Louis, with first-degree assault, armed criminal action, and two firearms violations for the shooting on Tuesday at Stevens ­Institute of Business & Art.

Both Johnson and the shooting victim, financial aid director Greg Elsenrath, remain hospitalized following surgery. The school said Elsenrath is expected to make a full recovery.

A probable cause statement said Johnson and Elsenrath had a heated exchange about financial aid Monday, and after another discussion Tuesday, Johnson shot Elsenrath in the chest at his fourth-floor office. Johnson was found on stairs between the third and fourth floors with a bullet wound to the side.

Authorities have not released Johnson’s condition.

There were 40 or so ­students in the building .