Since 1990, the author has written curriculum and activities for, and also taught, two mathematical art courses; one a first-year level mathematics course entitled Mathematics in the Arts (MA107) and the other a senior-level interdisciplinary course, entitled The Mathematics of Artistic Design (PR419). The latter course, which is housed in the School of Humanity and the Social Sciences, is one of many interdisciplinary courses offered at MU and known as a Perspectives course. Completing at least one Perspectives course in their senior year is a graduation requirement of all students. Neither of these two mathematical art classes requires the students to have any advanced mathematical or artistic experience or knowledge, so the course curriculum presents both the requisite mathematics and the art concepts. This paper will discuss some of the activities used to demonstrate the mathematical underpinnings of artistic design. Some exceptional student masterpieces, all of which were created by making innovative use of either Excel or the Geometer's Sketchpad software, will be shown.