融入基础力学内容的“计算方法”课程延拓性教学实践

Extending Teaching Practice of the "Calculation Methods" Course Incorporating Basic Mechanics Content

在计算方法课程教学中融入理论力学、材料力学知识内容,提出延拓性教学的三个层次:一是由力学问题认识基本数学问题的来源与背景;二是掌握基本数学模型的数值求解方法与理论;三是通过编程实验环节将具体力学问题转化成数学模型求数值解。近几年的课程教学效果调查表明,采用延拓性教学法能有效提高学生的学习主动性、综合应用所学知识分析问题和解决问题的能力。

It is necessary to integrate the knowledge of theoretical mechanics and material mechanics in the teaching of calculation methods. Three levels of extending teaching are proposed. The first is to understand the source and background of basic mathematical problems from mechanical problems;the second is to master the numerical solution methods and theories of basic mathematical models;the third is to transform specific mechanical problems into mathematical models through programming experiments to find numerical solutions. A survey of the course teaching effect in recent years has shown that the use of extending teaching methods can effectively improve students’ learning initiative, and their ability to comprehensively apply the knowledge they have learned to analyze and solve problems.