BYU

Abstract by Shelby Gold

Personal Infomation


Presenter's Name

Shelby Gold

Co-Presenters

Kevin Tuttle

Degree Level

Undergraduate

Co-Authors

Kevin Tuttle

Abstract Infomation


Department

Mathematics

Faculty Advisor

Jennifer Brooks
Michael Dorff

Title

Zeros of Complex Harmonic Polynomials Part 1: An Introduction and Visual Exploration

Abstract

It is a well-known fact that a polynomial of degree n has n roots in the complex plane. This statement, known as the Fundamental Theorem of Algebra, does not apply to harmonic polynomials. Such polynomials can be written as an analytic part and a conjugate part. This presentation will introduce some basic definitions and show how we can use Mathematica to explore the number and locations of zeros.