All youths, resident of the state of Missouri, shall be admitted to all the privileges and advantages of the various classes of all the departments of the University of the State of Missouri; provided, that each applicant for admission therein shall possess such scholastic attainments and mental and moral qualifications as shall be prescribed in rules adopted and established by the board of curators; and provided further, that the board of curators may charge and collect reasonable tuition and other fees necessary for the maintenance and operation of all departments of the university, as they may deem necessary.