She is also the chair of the Adult and Gerontological Health Department for the School of Nursing. Mueller teaches gerontological nursing and long-term care nursing administration in both graduate and undergraduate programs and recently received a national award as the Outstanding Faculty Member in Gerontological Nursing Education. Her career has focused on improving the care of elders living in nursing homes and her research focuses on factors that can influence quality of nursing home care such as nurse staffing, care delivery systems, and the role of the nurse and nursing home culture change. Mueller is certified by the ANCC in gerontological nursing and nursing administration. She is on the board of directors for the American Association of Nurse Assessment Coordinators and the Pioneer Network.