浅谈一题多解在常微分方程课程教学中的作用

摘要

Ordinary differential equation is the successor curricu-lum of mathematical analysis and advanced algebra which has an important position in mathematics. It plays an important role in the cultivation of the students' ability in further study and re-search. Multi-solution to one problem in ordinary differential e-quation can make students from different angles to get informa-tion. In this paper,based on multi-solution to one problem for several first order differential equations,we expound the effect of divergent thinking in teaching, and improve the effect of teaching.%常微分方程是数学分析、高等代数的后继课程，对培养学生进一步学习和研究学的能力具有不可替代的作用。对常微分方程的题目进行一题多解的讲授，可使学生从多个角度体会所学方法。本文通过对几道一阶微分方程一题多解的介绍，阐述了发散思维在教学中的作用，从而提高了教学效果。