Application and Fusion Analysis of Advanced Mathematical Modeling Thought Based on Computer Technology in University Teaching

Advanced mathematics is a fundamental subject in college education, essential for developing students’ analytical and problem-solving skills. It forms the basis for many advanced topics and is crucial for a well-rounded academic foundation. Mathematical modeling, on the other hand, is a powerful tool for addressing real-world problems by creating abstract models. It is widely applied in fields like economics, industry, medicine, and social sciences. With the rapid advancement of computer technology, mathematical modeling has evolved significantly. Tools like MATLAB have become essential for developing and analyzing complex models, enabling the resolution of intricate problems that are difficult to solve manually. The integration of computer technology into mathematical modeling enhances both the efficiency and accuracy of problem-solving.Given these advancements, it is crucial for colleges and universities to incorporate computer-based mathematical modeling into their curriculum. By integrating these techniques into advanced mathematics courses, educators can create a more cohesive learning experience that combines theoretical knowledge with practical applications. This approach not only improves the quality of mathematics education but also better prepares students to apply their mathematical skills to real-world challenges, equipping them for professional success in a rapidly changing world.