Teaching seminar Thu 25 Aug — Visualising complex functions: enhanced phase portraits

AustMS/AMSI Teaching Seminar

Thursday 25 August 2022, 2:00pm (AEST, GMT+10)

Title: Visualising complex functions: Enhanced phase portraits

Speakers: Juan Carlos Ponce Campuzano and Joseph Grotowski (University of Queensland)

Abstract: Complex functions are essential mathematical objects in complex analysis. They play a fundamental role in other mathematical areas such as dynamics, algebraic and differential geometry, and number theory; and advanced theoretical physics such as quantum mechanics, string theory, and quantum field theory. Visualising complex functions is a non-trivial task since they will produce a graph existing in a four-dimensional space. In this presentation, we provide an overview of the method known as domain colouring to visualise and explore complex functions. We also present a set of open-source online tools which main goal is to help students, and anybody interested in this topic, to create significant connections between visual representations, algebraic calculations and abstract mathematical concepts about complex functions.

Location: Online via Zoom: https://unimelb.zoom.us/j/87067206616?pwd=YWRjSENaem9tZTVZUGxsbThianU0QT09

Seminar recording: will be available from the seminar website afterwards: https://austms.org.au/mathematics-education/teaching-seminar-series/