The plan was prepared by chief executive Brian Stewart and follows the report on procedures, policies and structures submitted by Professor Alan Alexander after the council lost £24 million in the BCCI collapse.
A report to council last week said redundancies would be a measure of last resort. Some employees will be offered voluntary early retirement.
Under the Stewart plan, the architecture, engineering services, economic development and planning departments will all be scrapped.
The chief executive himself will take control of economic development and forward planning, and development control will go to consumer protection.
The management services unit will be split and the education department will be redesignated the education and leisure services department. The changes will take effect from 31 March.