Developing mathematical models for a decision support system to be employed in choosing an optimal curriculum for a university student

<p>The goal of the graduation project is to describe and solve the problem of developing a decision support system to be used by both university students and administrations for designing an optimal curriculum of so-called obligatory and optional courses with regard to a student&rsquo;s ability to learn. The above problem is formulated as an optimization one, and a solution to this problem determines a curriculum under which the student receives at least the number of credits that is required by the college of the enrollment while maximizing the rating there.</p><p>The graduation project is based on the detailed review of papers that are closely related to the subject of personalized learning as well as on the analysis of existing mathematical approaches to dealing with the core problems of the domain that are presented in the paper.</p><p>Two elements form the system&rsquo;s core: a) a mathematical model for finding an optimal combination of the courses to study, and b) a testing system to accompany every course offered at a particular college that evaluates the student&rsquo;s ability to successfully learn the course. Both a verbal and a formalized description of these two elements are proposed. In addition, multiple versions of exemplary data for the model were generated for different kinds of student&rsquo;s potential with the help of the programs written in MATLAB R2010a. The calculation results of model data were conducted with the help of MILP with essential visualizations to be provided and discussed in the graduation project.</p>