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This paper aim is to present an integer linear programming model to the problem of the designation of didactical assignments in a university that maximizes professor's abilities and preferences. To validate and evaluate the effectiveness of the model, a preliminary case study was carried out at the Department of Mathematics of the Federal Technological University of Paraná - Cornélio Procópio Campus. In this context, the results obtained are promising, with improvements in indexes related to satisfaction, skill and teacher workload compared to the manual designation adopted by the department and also with another formulation for the problem presented in the literature. [ABSTRACT FROM AUTHOR]