Introduction and purpose: Analysis and simulation of sports movements is known as an effective tool in improving sports performance and preventing injuries in sports conservatories. The purpose of this research is to investigate the use of mathematical modeling and computer simulation in analyzing sports movements and optimizing techniques in order to reduce the risk of injuries in student athletes.

Methodology: This research was conducted experimentally using mathematical modeling and computer simulation methods. The participants included 30 student athletes from sports conservatories who were active in different sports fields. Motion data were collected using motion analysis systems such as Vicon or Qualisys. Also, simulation software such as OpenSim and MATLAB were used to design mathematical models and simulate sports movements. The simulation results were compared and validated with experimental data.

Results: The results showed that the use of mathematical modeling and computer simulation can help improve sports techniques and reduce the risk of injuries. The performed simulations identified the weak points in movement techniques and provided optimization solutions. Also, positive effects on students' sports performance were observed.

Conclusion: Mathematical modeling and computer simulation are valuable tools for analyzing and optimizing sports movements in sports conservatories. This research shows that by using these methods, sports techniques can be improved and possible injuries can be prevented. In general, this approach can help improve the quality of education and sports performance of students.