Evolution of Maple

Maple is powerful, versatile, and efficient. But how did it get that way? It’s not just about adding more packages – over the years there have been key design decisions that have had a profound impact on what Maple can do and how it does it. In this talk, Dr. Laurent Bernardin, CEO and President of Maplesoft, will provide insight into some of these choices, the reasons behind them, and how they affect users of Maplesoft products today. Along the way, he’ll share his own memories of some of these turning points and the people who made them happen.

Using Pokémon (or Your Favorite Video Game) as a Teaching Tool

How many Pikachus does it take to power a lightbulb? How many calories would a Charizard consume? And what’s the probability of catching a Pokémon? Once posed, these are questions your students will want to know the answer to. In this talk Dr Tom Crawford, aka Tom Rocks Maths, will show you how you too can incorporate video games into your lessons, and how technology can help to bring the topics to life.

An Integral View on Dimensional Analysis: Scaling Invariants for Parameter Reductions in Dynamical Systems

Dimensional analysis, also known as parameter reduction, is a recommended practice before analyzing a dynamical system, such as a physical system or biological model. The Buckingham Pi Theorem shows how linear algebra can be used to bring out dimensionless variables, as power products of the original variables, which simplifies the analysis. One issue that arises, however, is that the powers provided by the Pi Theorem can be fractional, resulting in roots, and thus they require some care when determining the regions of positivity of the variables.

In this talk, I will present an algorithm involving scaling invariants that performs a similar transformation into dimensionless variables, but the results only involve integer powers and so are much easier to work with. I will also provide a simple rewriting algorithm, in the form of substitutions, that can be used to find the induced equations in the dimensionless variables.

This talk is based on: E. Hubert & G. Labahn. Scaling Invariants and Symmetry Reduction of Dynamical Systems. Foundations Computational Mathematics. 13:4 pages 479-516 (2013)

Two-Eyed Seeing: Mathematics and Indigenous Traditions and Cultures

Elder Albert Marshal of the Mi’kmaw Nation describes “two-eyed seeing” as the ability to see with the strength of Indigenous knowledge from one eye while seeing with the strength of Western knowledge from the other. This dual perspective can be applied to many aspects of life, including mathematics.

In this presentation, I will explore the concept of “two-eyed seeing” and the field of ethnomathematics, the study of the relationship between mathematics and culture first introduced by Brazilian educator and mathematician Ubiratan D'Ambrosio. I will address some of the dynamics between these two concepts and illustrate them with several examples. These examples will include a brief analysis of the geometry evident in a traditional Haida Nation hat, as well as the work of contemporary Salish artist Dylan Thomas.

In addition, I will discuss a project that used mathematical modeling of a traditional Tla’amin Nation stone fish trap to communicate cultural, engineering, environmental, and mathematical ideas. This project was a collaboration with the Tla’amin Nation and the Callysto Program, an online education tool that helps students in elementary and high school learn about and apply data science skills.