Student: Franque Bains
Professor: Dr. Mike Krebs
Degree Objective: Bachelor of Science
Major: Mathematics
Title: “Fixed points of number derivatives modulo n”
Abstract
A number derivative is a function that satisfies the Product Rule. In this paper, we find all
solutions to the equation (x) = x, where  is a number derivative on the ring of integers modulo
an integer n. Thinking of number derivatives as analogues of the ordinary derivative from
Calculus, we can think of this equation as a differential equation" of sorts; solutions to it will
then be rough analogues of exponential functions.