Operations research is a discipline that has evolved from decision-making problems arising in military, economic, and production activities. It assists individuals in applying mathematical methods to solve practical problems, providing quantitative support for decision-makers in selecting optimal solutions. As a course within the mathematics curriculum, operations research emphasizes both theoretical and practical aspects, guided by a teaching philosophy that prioritizes foundational theory and practical application. The course focuses on establishing mathematical models through real-world examples, exploring practical models and methods applicable to everyday life. Throughout the teaching of operations research, we emphasize effective integration with mathematical modeling competitions, encouraging students to participate in national modeling contests. This approach fosters learning and teaching, laying a solid foundation for enhancing students' critical thinking and comprehensive application skills. By completing this course, students will master quantitative mathematical analysis models, cultivate holistic optimization thinking, and improve their research and innovation capabilities, thereby establishing a strong basis for subsequent specialized coursework.
1. To understand the brief history of operations research and its connections to other disciplines such as military and economics. Students will master models, theories, and algorithms related to linear programming, goal programming, integer programming, dynamic programming, and graph and network optimization, along with the analysis and techniques for solving these models.
2. To proficiently grasp the basic modeling methods, theories, and algorithms of linear programming, goal programming, integer programming, dynamic programming, and network optimization. Students will learn to flexibly apply these techniques using computer software to solve practical problems, aiming for optimal resource allocation and decision-making through mathematical and simulation modeling.
3. To recognize the emergence, history, and cutting-edge developments of operations research in China, thereby enhancing students' national pride and confidence. By applying operations research to address real-life issues, such as improving service quality and reducing living costs, students will cultivate a rigorous academic spirit and holistic awareness. Collaborative activities, such as group discussions, will emphasize the importance of teamwork. Instructors will model the integration of professional knowledge with personal development of worldview, life perspective, and values.
4. To present operations research concepts in an accessible manner, allowing students to appreciate its wisdom and enhance their logical thinking skills. Students will learn to view life and study through the lens of operations research and acquire the ability to model and solve practical problems using foundational theories from various branches of the discipline.
