Using Modules in Teaching Complex Analysis

Educational modules can play an important part in revitalizing the teaching and learning of complex analysis. At the Westmont College workshop on the subject in June 2014, time was spent generating ideas and creating structures for module proposals. Sharing some of those ideas and giving a few example modules is the main purpose of this paper. The author has started to construct Mathematica-based educational modules for complex analysis, one of which is available in the online repository of supplemental materials for this article. The author has also begun work on a website called The Complex Moduli Project to make modules in complex analysis available worldwide, and invites others to join him in this endeavor.教学模块可在复分析（complex analysis）课程的教与学焕新进程中发挥关键作用。2014年6月，韦斯特蒙特学院（Westmont College）举办该主题研讨会期间，与会者投入大量时间构思教学模块提案的相关思路与搭建框架。本文的核心宗旨在于分享其中部分思路，并展示若干教学模块示例。作者已着手开发基于Mathematica的复分析教学模块，其中一款模块可在本文配套的在线补充材料资源库中获取。作者还启动了名为“复模项目（The Complex Moduli Project）”的网站建设工作，旨在面向全球推广复分析教学模块，并诚邀各界人士参与此项工作。