以工程应用为导向的泛函分析课程改革

Engineering Application Oriented Curriculum Reform of Functional Analysis

摘要: 本文结合中国石油大学石油石化特色，将工程中的反演内容融入到泛函分析课程中，梳理泛函分析中的相关知识点，改革课堂教学模式。通过这一改革，使学生对泛函分析的理论有了更加深入的了解，也体会到抽象的数学理论对工程案例的指导作用。抽象的泛函分析课堂融入具体的工程案例，既可以加强理论学习和实际应用相结合的训练，又可以提升利用所学知识解决问题的能力，可谓一举两得。通过改革前后对比，发现本次改革取得了良好的教学效果，得到了导师和学生的认可。同时，授课教师在改革中也得到了收获，真正做到了教研相长。

Abstract: Considering the petroleum and petrochemical characteristics of China University of Petroleum, this paper integrates the inversion content in petroleum engineering and geology into the func-tional analysis course, sorts out the knowledge of functional analysis that relates to inversion content, and reforms the teaching methods. After the reforms, students not only have a deeper understanding of the theory of functional analysis, but also realize that the abstract mathematical theory plays a guiding role in engineering. The abstract functional analysis class which integrates specific engineering cases strengthens students’ combination of theoretical learning and practical application, and improves their ability to solve problems with the knowledge they have learned. Through the comparison before and after the reform, it is found that the reform has achieved good teaching results, and has been accepted by supervisors and students. At the same time, teachers also gain a lot in the reform, and truly achieve the mutual benefit of teaching and research.