常微分方程中的生物数学模型及其在教学中的应用
Bio-Mathematical Models in Ordinary Differential Equations and Their Application in Teaching
覃文杰 1吴兴肖 1李慧敏1
作者信息
- 1. 云南民族大学数学与计算机科学学院 云南 昆明 650504
- 折叠
摘要
常微分方程作为数学课程中的一门重要基础课程,在提高学生综合素质方面具有举足轻重的作用.文章基于以学生为中心的教学理念和金课"两性一度"的建设要求,针对传统常微分方程教学中存在的问题,以两种群Lotka-Volterra生态模型和人口预测模型为研究对象,探索了生物数学模型在教学中的具体应用,旨在帮助学生更好地掌握该课程的基础理论,激发学生对该课程的学习兴趣,提高学习效率,并培养学生解决问题的能力.
Abstract
Ordinary differential equations,as an essential foundational course in mathematics,play a crucial role in enhancing students'overall qualities.This article,based on a student-centered teaching philosophy and the construction requirements of the"two genders,one degree"curriculum,addresses issues in traditional ordinary differential equations teaching.Focusing on two types of mathematical models-the Lotka-Volterra ecological model and a population prediction model-the study explores the specific applications of biological mathematical models in teaching.The aim is to help students better grasp the fundamental theories of the course,stimulate their interest in learning,improve learning efficiency,and cultivate their problem-solving abilities.
关键词
常微分方程/教学研究/生物数学模型Key words
ordinary differential equations/teaching research/Bio-Mathematical Models引用本文复制引用
基金项目
云南省第三批本科省级一流本科课程()
云南省研究生优质课程()
国家自然科学基金地区基金(12261104)
出版年
2024
NETL
NSTL
万方数据