A survey of 470 graduates of the six engineering technology programs at Wake Technical Institute--Architectural, Chemical, Civil Engineering, Computer, Electronic Engineering, and Industrial Engineering Technologies--and 227 of their employers was conducted in October, 1979, to determine the science and mathematics topics most needed by engineering technicians. The survey instrument, developed by two juror groups and subjected to a stability-reliability test, contained 81 items under 17 topics and an open-ended question. The 17 topical areas were mechanics, fundamentals of electricity/electronics, light, sound, heat, modern physics, chemistry, biology, geology, data processing, algebra, trigonometry, logarithms, geometry, analytical geometry, calculus, and statistics. The survey revealed that: (1) mathematics topics were important to all graduates; (2) various science topics were needed for different technology areas; (3) knowledge of a computer language was important to all but architectural technicians; and (4) science and mathematics topics were more important to graduates than to employers. A sample questionnaire and over 100 tables are appended. (JP)