ChatGPT’s Capability in Solving Mathematical Modelling Problems

Abstract

In this paper, we examine the capability of ChatGPT in solving problems based on mathematical modelling. In line with the research objective, we assigned the free version of ChatGPT (GPT-4o) six problems that fourth-year mathematics students, majoring in Applied Mathematics, had solved as part of their exam. We analyzed whether the following steps were properly carried out: constructing a mathematical model, the problem-solving process in the mathematical context, interpreting the solution in relation to the problem, and finally, validation. The results were then compared with the work of the aforementioned students. The findings indicate that, in all parts of the solution and for all tasks, the free version of ChatGPT was either completely or partially successful. Nevertheless, it achieved results that were weaker than those of the students. Based on these findings, we can say that solutions to problems addressed through mathematical modelling – which, in the second step, involve solving first-order differential equations, game theory problems, and linear programming tasks – can be used to some extent as student support. However, it is equally necessary to work on the specialization of LLMs that would solve problems of this level of complexity in accordance with the mathematical modelling process.