ABSTRACT
In online mathematics courses the heavily symbolic notation and necessity of pictures create a barrier to efficient and effective communication with students. The cross-listed nature of the courses, along with the online delivery of the materials, provided unique challenges. As the online course was cross-listed, it was necessary to have extra material for the graduate students both in the synchronous and asynchronous parts. The instructor originally adapted this course to be cross-listed with the face-to-face version. The face-to-face version of Groups and Geometry was not cross-listed. The face-to-face course was also cross-listed for both undergraduate and graduate levels. The graduate students attended the same lectures, but they were assigned additional homework problems, additional questions on quizzes/exams, and more in-depth projects. Whereas all of the graduate students did have a satisfactory prerequisite in matrix arithmetic, most had taken such a course more than ten years before attempting Advanced Linear Algebra.
