高等数学思维在气体动力学教学中应用策略探讨

The Exploration of Higher Mathematical Thinking in Aerodynamics Teaching

高等数学是理工科院校最重要的基础学科,其包含的数学方法、数学思维对学生后续专业课程的学习至关重要。然而,高数知识相对于中学数学跨度较大,学生难以全面掌握,后续专业课程中所用的数学方法又超出了高数课程的范畴。针对这一问题,以航空专业核心课程“气体动力学基础”教学为例,分析了气体动力学课程包含的数学(思维)特点,讨论了高数与专业课程之间的联系,探讨了数学思维在衔接两门课程中的重要作用,提出了一些有效的教学应用策略。

Higher Mathematics is the most important basic subject in colleges and universities of science and engineering.The mathematical methods and mathematical thinking are very important for students’follow-up professional courses.However,compared with middle school mathematics,the knowledge of Higher Mathematics has a large span,which is difficult for students to master comprehensively;in the follow-up professional courses,the mathematical methods used go beyond the category of Higher Mathematics.In view of this problem,taking the teaching of the core course of Fundamentals of Aerodynamics of aviation specialty as an example,this paper analyzes the characteristics of Higher Mathematics thinking contained in aerodynamics courses,discusses the relationship between Higher Mathematics and professional courses,and its important role in connecting courses,and puts forward some effective teaching application strategies.