Markov chains,due to their physical implications regarding the relationships between past,present,and future states,are concepts frequently applied in practical engineering,primarily for future predition.They are widely used in situation estimation,model construction,trend forecasting,and other areas.In the course design for stochastic processes at universities,the teaching content on Markov chains is too formulaic for students to develop a deep understanding and hindering the cultivation of engineering practice skills.This paper focuses on the case-based teaching method,using an engineering example of aircraft target tracking and prediction as the main thread,supplemented by cases from daily life,to explain the concept and physical significance of Markov chains.This approach emphasizes the mathematical content and their applications,encouraging students to think and explore engineering problems independently.The course integrates theory with practice to enhance students'ability to solve real-world problems using theoretical content.Additionally,based on the physical implications of Markov chains,students are guided to maintain a positive and proactive outlook on life,striving for success in the future.
Markov chainstochastic processcase-based teaching methodtarget tracking prediction casecourse moral education