Classic Mathematics with a Modern Interface

The course presents a variety of topics from linear algebra, abstract algebra, and geometry that lend themselves to an interesting visual display: for example, groups, finite fields, graph theory, finite, Euclidean, and spherical geometry. Students implement key mathematical ideas in R, build an application in R Shiny Dashboard that can be deployed to the internet, and use their software to devise conjectures that they can then prove as theorems.