It shall be the duty of the board of trustees of state institutions of higher learning to elect or appoint a dean of this school; to determine and provide for an adequate faculty, staff and other employees; to fix and provide for the compensation of said faculty, staff and employees; to provide an adequate physical plant for this school; to prescribe the courses of study and research compatible with the objects and purposes hereinabove set forth; and to do and accomplish all other related functions consistent with the implementation of Sections 37-115-101 through 37-115-111.