In this paper we discuss why a senior capstone course is the perfect setting to reward graduating seniors with some of the more fun and interesting aspects of advanced mathematics. We provide a beginner's list of topics to consider as well as a method of implementing these tidbits outside of the classroom if time is an issue.

This article shows how current mathematical research and innovative internet technologies such as wikis and email discussion lists can enliven a senior seminar or capstone course. We give example of assignments as well as examples of how new technologies can enhance a course. This paper grew out of the author's experience of teaching a senior…