If an officer or member of the Metropolitan Police force, the Fire Department of the District of Columbia, or the United States Park Police force engages in educational course work in police or fire science or administration, and, if he is eligible for payments or reimbursements under § 4109(a)(2)(C) of Title 5 of the United States Code for tuition expenses for such course work, the Mayor of the District of Columbia and the Secretary of the Interior shall, in accordance with such § 4109(a)(2)(C), pay or reimburse each such officer and member under their jurisdiction for all his tuition expenses for such course work.