Visualizing Functions Of Complex Numbers Using Geogebra

Abstract

This paper explores the use of GeoGebra to enhance understanding of complex numbers and functions of complex variables for students in a course, such as College Algebra or Pre-calculus, where complex numbers are introduced as potential solutions to polynomial equations, or students starting out in an undergraduate Complex Variables course. The paper introduces methods to create interactive worksheets for students seeing complex numbers and functions for the first time and for those who have some experience with them, but struggle to visualize their meaning. Acknowledging limitations of GeoGebra concerning complex functions, we create new learning opportunities as we develop workarounds.