Computer hardware engineers are the ones who are responsible for the hardware i.e. the physical aspects of computers and they oversee the design, development etc
Well, basically engineering managers supervise teams if engineers during the design and development of medical equipment, computer hardware and electrical devices. A number of programs are offered in this field i.e. associate, bachelor, masters degrees. FYI, if you just got out of field, Associate in Engineering management can get you in this field easily, take a look: http://www.excite.com/education/business/engineering-management/associate