数学建模思想在常微分方程教学中的应用

摘要

高校应用数学专业教学中，常微分方程是其主要的基础性课程，本文根据传统数学教学中的问题，系统性阐述数学建模思想在常微分方程教学中的应用，同时与实践进行有效结合，提出在常微分方程教学中应用数学建模思想的具体策略，从根本上提高学生学习兴趣，并提高学生通过数学建模思想对相关常微分方程问题进行解决的能力。%In college applied mathematics teaching, ordinary dif-ferential equation is the main foundation course. In accordance with the problems existing in traditional mathematics teaching, this paper systematically elaborates the application of mathemati-cal modeling thought in the teaching of ordinary differential e-quation, and based on its effective combination with practice, proposes specific strategies to apply mathematical modeling thought to the teaching of ordinary differential equation, in order to im-prove students' learning interest fundamentally, and improve stu-dents' ability to solve problems related to ordinary differential e-quation by using mathematical modeling thought.