Discussion of Class Teaching of Ordinary Differential Equation on the Basis of Ability Training

摘要

Differential equation theory is originated in the natural sciences, grows up with calculus together, is the powerful weapon to accurately describe all kinds of basic problems and the basic laws of the material world. Ordinary differential equation is one of the core of mathematics specialized fundamental course in high schools, and is also an important learning content for engineering professional of higher mathematics, is a discipline with strong application. ODE is a required course for students majoring in mathematics. The course itself has both the basic theory of heavy and complicated and closely linked with actual practice. Therefore, combined with the characteristics of the subject, to strengthen the cultivation of student's ability to analyze problems, solve the problem in the teaching has a special significance. As a basic course with strong application characteristics, the ordinary differential equation should highlight the characteristics of application in teaching, cultivate students' ability of innovative thinking, and using knowledge to discovery, analyze and solve actual problems[1].