Understanding a complex system of relationships between courses is of great importance for the university's educational mission. This paper is dedicated to the study of course-prerequisite networks that model interactions between courses, represent the flow of knowledge in academic curricula, and serve as a key tool for visualizing, analyzing, and optimizing complex curricula. We show how course-prerequisite networks can be used by students, faculty, and administrators for detecting important courses, improving existing and creating new courses, navigating complex curricula, allocating teaching resources, increasing interdisciplinary interactions between departments, revamping curricula, and enhancing the overall students' learning experience. The proposed methodology is illustrated with a network of courses taught at the California Institute of Technology.

翻译：理解各课程之间复杂的关系系统对大学的教育使命非常重要,本文件专门研究课程预设网络,这些网络模拟各课程之间的互动,代表学术课程的知识流动,并成为可视化、分析和优化复杂课程的关键工具,我们展示学生、教师和行政人员如何利用课程预设网络发现重要课程,改进现有课程和创建新课程,浏览复杂的课程,分配教学资源,增加各部门之间的跨学科互动,改进课程,提高学生的总体学习经验,加利福尼亚理工学院课程网络说明了拟议方法。