Graphic design generally means the production of an image (a graphic). It can be done on a computer or with pencil and paper.
Computer Design could involve designing anything on a computer. This includes producing drawings, 3D models or specialised files used for an object to be manufactured. Often known as CAD (Computer Aided Design).
Computer graphics is an exciting creative profession that has transformed the fields of television, film, animation and the Internet. Computer graphics specialists produce new and traditional media content that reflects the emergence of developing technologies such as universal broadband access. Computer Graphics professionals combine expertise in advanced computer hardware and software with a strong sense of aesthetic vision, creativity and artistic skill. Graphic design: Graphic design is a creative profession that has become vital to business and media all over the world. Art directors and graphic designers, who must have hands-on abilities in the fine arts—drawing, painting or sculpture—and strong computer expertise, use advanced hardware and software to create advertisements, packaging, promotional materials, Internet projects and other vehicles that allow businesses and manufacturers to visually display their products and services.