基于MATLAB的数学分析课程的可视化教学探索

MATLAB-Based Visual Teaching Strategies for the Course of Mathematical Analysis

摘要: 数学分析课程因高度抽象性和严密逻辑性，成为数学系大一新生首道学业难关。本文深入探讨了将MATLAB融入数学分析课程教学的核心意义与实践价值，通过典型教学案例的具体剖析，系统阐述了如何依托MATLAB的可视化功能与计算优势辅助课程教学。这种教学模式能帮助学生快速突破抽象概念的理解障碍，高效掌握知识的实际应用技巧，进而激发学习主动性与探究兴趣，同时强化教与学的双向互动效能。

Abstract: The mathematical analysis course, due to its high abstractness and rigorous logic, poses the first academic challenge for freshmen in the mathematics department. This article delves into the core significance and practical value of integrating MATLAB into the teaching of mathematical analysis. Through a detailed analysis of typical teaching cases, it systematically expounds on how to leverage MATLAB’s visualization capabilities and computational advantages to assist in course teaching. This teaching model can help students quickly overcome obstacles in understanding abstract concepts, efficiently grasp practical application skills of knowledge, and further stimulate learning initiative and exploration interest, while enhancing the bidirectional interaction effectiveness of teaching and learning.