Dr. Laurent Bernardin
AI and the End of Math as We Know It
AI is looming large over all aspects of our lives, and this is especially true when it comes to large language models. Their promise is to make our work easier, and to multiply the impact our efforts have a thousandfold. Yet, there is also an implied threat that they can replace humans altogether and make most of us redundant. When it comes to mathematics, both the promise and the threat seem to be more pronounced than in any other field. After all, math education and research have a long history of leveraging technology to great effect. At the same time, a field based on structure and logic is a prime candidate for AI to subsume.
In this presentation, we will investigate the potential and likely implications of the emergence of AI on mathematics. We will explore what AIs are good at, what they might become better at, and what their relationship with humans in the world of mathematics might ultimately turn out to be. We’ll discuss the implications on teaching, learning, doing, and leveraging mathematics, and what math tools could look like in a world where AI is ubiquitous.
Dr. Laurent Bernardin is President and CEO of Maplesoft. He has been with Maplesoft for over 25 years and prior to his appointment to his current role, he held the positions of CTO and COO. Bernardin is a firm believer that mathematics matters. Under his leadership, Maple has grown from a research project in symbolic computing to a complete environment for mathematical calculations used by hundreds of thousands of engineers, scientists, researchers and students around the world.
Dr. Laureano González Vega
Experimental Mathematics: Using Maple to Analyze Some Conjectures Involving Matrices and Polynomials
The availability of tools like Maple enables us to introduce an experimental approach into the research we do in mathematics, when appropriate. In this talk we present four concrete examples where the use of Maple has been essential to discover, conjecture, and in some cases, demonstrate new properties of the mathematical objects that we were considering - mostly polynomials and matrices.
In the first example we will show how the use of Maple allowed us to provide the first non-trivial results on the Casas-Alvero Conjecture, which asks if every polynomial that has a root in common with each of its derivatives (not always the same root) is necessarily a power of a linear factor. The second example will show how useful is Maple to determine the structure of the polynomials that describe the projection of the intersection of a torus and a quadric.
The third example will illustrate how Maple helps generate and characterize correlation matrices when their entries are -1, 0 and 1. The last example will be devoted to introducing the use of Maple for trying to prove (or disprove) a conjecture about the spread of a symmetric matrix (i.e. the maximum absolute value of the difference between any two eigenvalues) with entries in the closed interval [a,b].
Dr. Laureano González Vega is the Director of the Department of Quantitative Methods at CUNEF University and Professor of Algebra at University of Cantabria (on leave). He is one of the co-founders of the EACA conferences (Meetings on Computational Algebra and its Applications), and the editor of The Computational Mathematics Column in the Gazette of the Royal Spanish Mathematical Society. His research activity is concentrated on topics related with Computer Algebra, Symbolic Computation and Computer Aided Geometric Design. A long-time Maple enthusiast, Dr. González Vega has made many important contributions to the field of matrices and polynomials in computer algebra, and been a strong advocate for the use of Maple in research promoting the experimental approach when appropriate, and in teaching to increase students’ understanding of and interest in mathematics.
These presentations will provide overviews of useful features and techniques, and introduce new and upcoming products, features, and initiatives.
Maple 2024 Gems You May Have Missed
Paul DeMarco
Senior Director, Maple Development
Whether you have been using Maple 2024 since the day it came out, or haven’t had a chance to try it yet, chances are good there are still new features in Maple 2024 that you haven’t explored yet. his talk will give you a closer look at some of the improvements that the presenter, the Senior Director of Research at Maplesoft and long-time Maple user, finds particularly useful or interesting. You may even get a few hints of more good things to come.
Leveraging AI
Erik Postma
Manager, Mathematical Software Group
Karishma Punwani
Director, Product Management – Academic Market
This presentation will provide an overview of the AI features in Maplesoft products that you can use today, both as interactive features, and as tools for building your own applications. You may also get a glimpse of some new features we are actively working on.
Building Student Success: A New Approach
Karishma Punwani
Director, Product Management – Academic Market
In a world of ever-tightening budgets and ever-increasing class sizes, student retention has become both more important and more difficult than ever. How can universities and other higher education institutions leverage both existing and emerging technology to help students succeed in their math courses, so that they can, and wish to, continue their studies? In this talk, we’ll explore some new ideas Maplesoft is working on to support student success. We’d love to know what you think!
The votes are in! Everyone who registered for the conference by Sept. 10 had a chance to vote on the topics they most wanted to see covered in this session. Each of the topics below will get 15 minutes from a Maplesoft expert, so it’s a great way to pick up a lot of useful pointers, fast.
Visualization: Going beyond plot and plot3d
Dave Linder
Software Architect
Better than Loops: Language Features Every Maple User Should Know
Dave Linder
Software Architect
Useful Interface Tips (or “Oh, I didn’t know you could do that!”)
Karishma Punwani
Director, Product Management – Academic Market
Making Numeric Computations Faster
Matthew Calder
Intermediate Developer
The Power of Structured Types
Erik Postma
Manager, Mathematical Software Group
These sessions will go in depth to offer practical training that will increase your knowledge of Maple and teach you useful tools and techniques to help you accomplish your Maple tasks quickly and effectively.
Your Code Doesn’t Work – Now What?
Paul DeMarco
Senior Director, Maple Development
Whether you’ve written a few lines or a complex procedure, sometimes your code just doesn’t do what you want. In this training session, you will learn about tools and techniques to help you debug your Maple code, as well as some best practices that will increase the chances of your code working right the first time!
Series and Limit Computations in Maple
Jürgen Gerhard
Senior Director, Research
Allan Wittkopf
Fellow, R&D
We will present Maple's functionality for computing truncated series expansions and limits, mainly in the univariate case, but also multivariate. We will discuss best practices for getting the most out of the series, limit and asympt commands.
Using Maple with Jupyter and Python
Stephen Forrest
Software Architect
Learn how to build Jupyter notebooks that use Maple for computation. You will also discover the different ways you can run Python code and functions from within Maple, and how you can perform computations with Maple directly from Python using the OpenMaple API.
Dr. Robert Corless
Editor-in-Chief of Maple Transactions
Emeritus Distinguished University Professor, Western University
Maple Transactions is an open-access journal that publishes expositions on topics of interest to the Maple community, including researchers, educators, and students. Containing both peer-reviewed research articles and general interest content, the journal is free to read, and free to publish in. In this session, you’ll explore highlights of past issues, learn about recent changes to the format as the journal grows and evolves, and get a chance to ask questions of the Editor-in-Chief.
Hear from your colleagues and share your own work and ideas! The Maple Conference includes customer presentations on a range of topics related to Maple, falling into three broad categories: Maple in Education, Algorithms, and Applications.
The Call for Participation is open until July 17, 2024.
See the detailed Conference Program for the schedule of all the contributed talks.
Come join Maplesoft staff and fellow attendees for some informal conversation. Each day will have a theme in the main networking room, and breakout rooms are available for smaller group discussions.
Join Dr. Laurent Bernardin’s virtual lunch table for an informal conversation about anything that comes up. Many Maple developers will also be there. It’s a great chance to ask questions, share experiences, and meet the people behind the product.
If you use Maple in your teaching, or are thinking of doing so, come share experiences, best practices, and concerns with your fellow Maple enthusiasts and Maplesoft developers.
Breakout rooms are always available for smaller group discussions. So if you want to continue a discussion from one of the sessions, catch up with colleagues, or talk about a subject that isn’t in the main room, just ask and we’ll create a room for you.
|
|
|
---|
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.
Dr. Laurent Bernardin is President and CEO of Maplesoft. He has been with Maplesoft for over 20 years and prior to his appointment to his current role, he held the positions of CTO and COO. Bernardin is a firm believer that mathematics matters. Under his leadership, Maple has grown from a research project in symbolic computing to a complete environment for mathematical calculations used by hundreds of thousands of engineers, scientists, researchers and students around the world.
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.
Dr. Tom Crawford holds the position of Early Career Teaching and Outreach Fellow in Mathematics at St Edmund Hall, University of Oxford, with a mission to share his love of math with the world. His award-winning website and associated social media profiles feature videos, podcasts, articles, and puzzles designed to make math more entertaining, exciting and enthralling for all. Crawford works with several partners including the BBC and the Numberphile YouTube channel - the largest math channel on the platform with over pi‑million subscribers.
Whether you have been using Maple 2023 since the day it came out, or haven’t had a chance to try it yet, chances are good there are still new features in Maple 2023 that you haven’t explored yet. This talk will give you a closer look at some of the improvements that our Maple Product Manager finds particularly useful or interesting. You may even get a few hints of more good things to come.
Students have to do math to learn math, but there are only so many problems with solutions in the textbook. What can you do for your students when that’s not enough? In this session, you will learn about the various tools available in Maple and other products in the Maplesoft Mathematics Suite that will tell students if they answered a problem correctly, give them new problems to try, help them understand where they went wrong, and show them how to get back on track.
Maple 2023 introduced the Canvas Example Gallery, which provides template applications that illustrate the use of a wide variety of features such as clickable plots, interactive visualizations, quizzes, examples that provide solution steps, and more. The Maple code used to create these applications can be easily viewed, modified, and copied, so you can customize them or use them as a starting point for your own work. In this session, we will show you how to leverage the examples in the Gallery to create engaging and enlightening interactive applications designed specifically for your own students, without having to start from scratch. In many cases, it only takes a small tweak to the code to create very different applications, so you can create interactive experiences for your class quickly and with only minimal programming experience.
In this presentation we will discuss a number of techniques, tips, and tricks to speed up your Maple code. These include choosing memory-efficient data structures, taking advantage of highly efficient commands such as map and seq to replace much slower for-loops, caching previous results to avoid re-computations, and more.
Maple Transactions is an open-access journal that publishes expositions on topics of interest to the Maple community. The journal is intended for a broad audience of researchers, educators, students, and anyone else with an interest in Maple, and includes both peer-reviewed research articles and general interest content. The journal is free to read, and free to publish in. In this session, you’ll learn about the diversity of topics, content, and formats accepted by the journal, explore highlights of past issues, and get a chance to ask questions of the Editor-in-Chief.
Want to know more about what goes on behind the scenes at Maplesoft? This is your opportunity ask questions of members of the Maplesoft R&D team. The panel will include people who are highly involved with the development of various aspects of Maple, the Maple Calculator app, and Maple Learn. Between them, this panel has many(!!) years of experience developing products for doing, learning, and teaching math. This is meant to be an interactive session, so come with lots of questions!