Mathematical Model for Assessing the Balance of Profiles of Educational Programs of Higher Education Institutions

The paper presents a formalized mathematical model for assessing the balance of educational program profiles in Ukrainian higher education institutions. The model is based on constructing a metric profile of program learning outcomes, which enables quantitative evaluation of program coherence and proportionality. The concept of a metric profile is introduced, and a method for calculating the balance coefficient of an educational program is proposed. A clustering approach for program learning outcomes is developed following the structure of the Computer Science Curricula 2023 (CS2023) framework, along with a normalization procedure for credit load comparison across programs. Examples of real educational programs are analyzed to demonstrate the model’s applicability, including the use of radar (petal) charts for profile visualization. The proposed model provides a foundation for developing intelligent systems to support individual learning trajectories and can be adapted to various fields of higher education.

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