The relevance to industries of the mathematics curriculum at Uganda technical colleges is assessed through analysis of the extent of application to industries of the mathematics taught to the diploma students. The mathematical requirements of the civil, electrical and mechanical engineering technicians and the influence of industrial training on the engineering technical students perception of the mathematical needs of industries in Uganda are examined. Results of the study reveal that mathematics is required in industries in Uganda to a great extent, and that the mathematics curriculum is relevant to industries, except that the industries are consuming only a small section of the mathematics they could advantageously use. Engineering technicians are found to differ in their mathematical requirement, depending on the specialization, but they agree on a common core course and sandwich courses. Industrial training is found to make students perceive, positively, the relevance to industries of the mathematics...