This interactive electronic textbook, in the form of Maple worksheets, is released in its sixth edition, 2021 August.  This book has two major divisions, mathematics for chemistry -- the mathematics that any instructor of a course in chemistry would wish a student thereof to understand and to be able to implement, and mathematics of chemistry, in the sense of the classic volumes by Margenau and Murphy -- mathematical treatments of particular topics in chemistry from an introductory post-secondary level to a post-graduate level. The content, which includes not only chapters in previous editions that have been revised but also additional chapters on quantum mechanics, molecular spectrometry and advanced chemical kinetics, has been collected during two decades, with many contributions from other authors, acknowledged in particular locations.  Each chapter includes not only explanatory treatments but also illuminating examples and exercises with chemical applications where practicable.

Mathematics for chemistry      0  introduction to Maple commands

                                                 1  numbers, symbols and elementary functions

                                                 2  plotting, geometry, trigonometry and functions

                                                 3  differential calculus

                                                 4  integral calculus

                                                 5  multivariate calculus

                                                 6  linear algebra

                                                 7  differential and integral equations

                                                 8  probability, statistics, regression and optimisation

Mathematics of chemistry       9  chemical equilibrium

                                                10  group theory

                                                11  graph theory

                                                12  quantum mechanics in three parts -- models, atoms and molecules

                                                13  molecular spectrometry

                                                14  Fourier transforms

                                                15  advanced chemical kinetics

                                                16  dielectric and magnetic properties

The content freely available at https://www.maplesoft.com/applications/view.aspx?SID=154267 includes also a published report on teaching mathematics with symbolic software and an interactive periodic chart that yields information about particular chemical elements and their isotopic variants.

            The nature of this electronic interactive textbook makes it applicable with an instructor in a traditional setting, or computer laboratory, for which the material of mathematics for chemistry could be reasonably covered in three or four semesters, but even for self study.  The chapters on quantum mechanics and Fourier transforms are available as separate textbooks in the same format.

Here is the link of my paper.  Great pleasure to hear advice from you. Abel_equation(9).pdf

Mathematical visualizations are beautiful representations of technical phenomena.  From the visual “perfection” of the golden spiral to the pattern generation of fractals, so many works of art can be boiled down to formulas and equations.  Such is the case with N.G. de Bruijn’s medallion and frieze patterns.  Given two starting values, two lines of mathematical formulae produce a recursive sequence of complex numbers.  We can associate these numbers with the four cardinal directions, following the steps on a plot to produce beautiful patterns.  The patterns are of two different types, the closed medallion or repeating frieze, depending on the starting values.

When you need a complex math visualization, Maple is a perfect place to go.  A demonstration of medallion and frieze patterns is available in the Maple Application Center, in which you can vary the starting values and watch the outcome change, along with more detailed background information.  However, there’s an even simpler way to explore this program with the help of Maple Learn.  Maple Learn has the same computational power as Maple, streamlined into an easy-to-use notebook style.  

Maple Learn includes many core features, and anything missing can be ported in through Maple.  This is done using Maple’s DocumentTools:-Canvas package.  The package contains the necessary procedures to convert Maple code into a “canvas”, which can be opened as a Maple Learn sheet.  This makes the whole document look cleaner and allows for easy sharing with friends.

The medallion and frieze document, along with the additional contextual information, is now also available in Maple Learn’s Document Gallery, home to over one thousand example documents covering calculus, geometry, physics, and more.

Who else likes art?  I love art; doodling in my notebook between projects and classes is a great way to pass the time and keep my creativity sharp.  However, when I’m working in Maple Learn, I don’t need to get out my book; I can use the plot window as my canvas and get my drawing fix right then and there.

We’ve done a few blog posts on Maple Learn art, and we’re back at it again in even bigger and better ways.  Maple Learn’s recent update added some useful features that can be incorporated into art, including the ability to resize the plot window and animate using automatically-changing variables.

Even with all the previous posts, you may be thinking, “What’s all this?  How am I supposed to make art in a piece of math software?”  Well, there is a lot of beauty to mathematics.  Consider beautiful patterns and fractals, equations that produce surprisingly aesthetically interesting outputs, and the general use of mathematics to create technical art.  In Maple Learn, you don’t have to get that advanced (heck, unless you want to).  Art can be created by combining basic shapes and functions into any image you can imagine.  All of the images below were created in Maple Learn!

There are many ways you can harness artistic power in Maple Learn.  Here are the resources I recommend to get you started.

1. I’ve recently made some YouTube videos (see the first one below) that provide a tutorial for Maple Learn art.  This series is less than 30 minutes in total, and covers - in three respective parts - the basics, some more advanced Learn techniques, and a full walkthrough of how I make my own art.
2. Check out the Maple Learn document gallery art collection for some inspiration, the how-to documents for additional help, and the rest of the gallery to see even more Maple Learn in action!

Once you’re having fun and making art, consider submitting your art to the Maple Conference 2022 Maple Learn Art Showcase.  The due date for submission is October 14, 2022.  The Conference itself is on November 2-3, and is a free virtual event filled with presentations, discussions, and more.  Check it out!

I have polished up findings with custom components to share it here:

Optimized code generated with Maple’s codegen package cannot be used in the same way as it was possible with older versions of MapleSim’s Custom Component Template.

Intermediate variables `tx` (where x is an integer) of the optimized code are interpreted as physical parameters in the current template version and not as variables. This makes sense and is more consistent with MapleSim’s definition of variables and parameters, but leads to errors in MapleSim.

The attached model shows how optimized code can be generated for the current template and compares an older, still working (!) template with the new one.

The attached worksheet contains commands to programmatically generate optimized code for the current Custom Component Template.

CustomComponentTemplates_comparision.msim

Optimized_code_for_custom_component_template.mw

Have you ever wondered about the people behind the scenes at Maplesoft? What about the students who help design the products?

This week, we thought we’d introduce ourselves. We are some of the co-op students at Maplesoft, who in between studying believe that Math Matters.

I’ll go first. My name is Pleiades, I’m 21 and my pronouns are they/them. I am a product management intern at Maplesoft, working with Maple Learn and Maple Calculator. I'm not a math student, but my favorite thing about math is how expressive its language is. Mathematical equations and symbols can be used to express incredibly complex ideas, and even if you don't understand the sense, you can still read the "words". My favorite thing about working for Maplesoft is the flexibility. I have many different types of tasks, and I’m able to learn so many different things.

Keep reading, and find out more about my fellow students below!

Quality Assurance:

Hello, my name is Matilda (she/her)! I am 19 years old, studying physics and astronomy at the University of Waterloo. I am part of the QA team here at Maplesoft, working as a quality assurance analyst co-op. I find math fascinating as it is a broad field that can be challenging, but also invokes a lot of creativity. As I am a new addition at Maplesoft, I am excited to work with the various Maple products.  I am looking forward to meeting new students and individuals, and to help grow not only myself but the company further. 

My name is Kat, I’m 20 and my pronouns are she/her. In my spare time, I enjoy reading and rock climbing. I am a QA analyst at Maplesoft, mostly working on Maple 2023. I am a student at UW studying mathematical physics and I would like to also minor in astronomy/astrophysics. My favorite thing about math is the objectivity of it, how there is a set structure and logical solution to any problem. I especially like calculus and trigonometry. I’m excited to be at Maplesoft because I will be learning everything about Maple from the inside perspective, which is used in many 300 and 400-level applied math courses that I will be taking at UW. I also really like the office environment and my coworkers.

Development:

Hey, my name is Paul C, I am 22 years old, and I am working as a Web and Mobile developer with Steve Metzger for the next 4 months. At the University of Waterloo, I study Mathematical Physics, though, I love the Computational Mathematics courses I’ve taken at UWaterloo. As for the world of Mathematics, I have always been fond of how everything can be thoroughly proven through basic arguments and logic. I am very excited to be working at Maplesoft, as I have for a long time been intrigued as to how Maple, Symbolab, and WolframAlpha function. So, this position is finally giving me the opportunity to truly explore how such software is developed.

Sales:

My name is Robin, I’m 21 years old and my pronouns are he/him. I am currently working as a Business Operations Analyst at Maplesoft, working with the sales department. I am a candidate of Bachelors of Business Administration at Wilfrid Laurier University with a minor in Economics and a specialization in Finance. My favorite thing about math is how it is present everywhere. Numbers help us understand world and Math helps us understand the number. My favorite part about working at Maplesoft is the extremely positive culture that we work in. Rather than competing with other people in the department, sales team has a very healthy approach towards work and are always there to help out each other.

Content Creation:

My name is Nikolas (he/him), I’m 20 years old and I’m an undergraduate physics student at the University of Waterloo. I’m part of the math content team at Maplesoft, focussing on creating new content for Maple Learn. The thing I like most about math is that while it may be a very objective discipline, it still involves an incredible amount of creativity. My favourite part of working at Maplesoft is the chance to share what I’ve learned about physics and math through Maple Learn content.

Good morning, afternoon, or evening!  I'm Miles (age 23, he/him), and I'm a UW mathematics student majoring in combinatorics and optimization and minoring in biology.  This term at Maplesoft, I work in content development for Maple Learn, which involves creating examples for the Maple Learn Document Gallery, working on special requests for users, and more.  My favorite thing about math is the fact that it is the analytical backbone of so many other areas of research.  You may think of biological research as performing experiments or medical trials, but behind the scenes, data entry and analysis are key to finding valuable conclusions and discoveries.  Biology is my particular favorite, of course, but there are countless fields of study with these mathematical aspects.

I'm looking forward to expanding my skillset and repertoire of tasks at Maplesoft.  This is my second term working here; last term I got my bearings as a content developer and am looking forward to so much more.  More advanced documents and workshops/presentations are on the horizon! :D

Download New_arbitrary_constants_and_functions.mw

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

Download Uniformly_accelerated_motion.mw

This is a friendly reminder that the deadline for submissions for this year's Maple Conference Creative Works Exhibit is fast approaching!

If you are looking for inspiration, you can take a look at the writeup of the works that were featured last year in this write up in the most recent issue of Maple Transations.

Also, don't forget that you can also submit art made in Maple Learn for a special exhibit alongside the main gallery.

If you haven’t seen the posts already, the Maple Conference is coming up on the 2^nd and 3^rd of November! Last year’s art competition was very popular, so this year, not only are we holding the Maple Art and Creative Works Exhibit again, but we’ve decided to extend the art competition to include a Maple Learn Art Showcase!

You may be wondering what math art can be created in Maple Learn, and what the requirements are for the conference. Let’s address the first question first.

The best way to learn what kind of math art can be made is by taking a look at our Maple Learn Art document collection! This collection is in the Maple Learn document gallery, and includes art created by users with different levels of math and Maple Learn knowledge.

Many examples of art are shown in the collection, but take a look at this art piece, which shows a fun character made with functions!

We not only have static art, but animations as well. Take a look at this document, which shows an animated flower and bee, all created with math and Maple Learn.

Now for the conference requirements. The submission requirement date is October 14^th 2022, and there’s only one criterion for submission:

• Art must be created in Maple Learn, and submissions must include the Maple Learn document.

Feel free to include any extra information about yourself and your artwork directly in the document. You can share your submission by using the share icon in the top right of the Maple Learn UI. This will create a URL, which can be sent to gallery@maplesoft.com. Don’t forget to include your name in the emailed submission! Please contact us if you’re unsure about any of the criteria, or if you have any other questions!

It may seem overwhelming, but remember: submitting something gives you a chance to share your art with the world and not submitting removes that chance! If you'd like more information about the Maple Learn Art Showcase or the Maple Art and Creative Works Exhibit, please check out our page on submissions for the art gallery on the Maplesoft website, or check out this example submission. See you all next time!

Paulina Chin of Maplesoft and I are pleased to annouce Maple Transactions Volume 2 Issue 1, the Proceedings of the 2021 Maple Conference.

Articles can be found at mapletransactions.org

Some articles are written directly in Maple and are published via the Maple Cloud.  There is also a Demo Video by Michael Monagan of his new GCD code.  There are articles on Math Education, on Applications of Maple, on software, and on mathematics research.  We draw particular attention to the article by Veselin Jungic, 3M Teaching Fellow at SFU and a Fellow of the Canadian Math Society, on Indigenising mathematics.  We hope that, as members of the Maple Community, you find much of interest.

Best wishes,

Rob Corless, Editor-in-Chief

Maple Transactions

Download New_generalized_unit_vectors.mw

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

Download Einstens_principle_of_relativity.mw

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

Welcome back to another blog post, Maple Learn enthusiasts! Today we’re going to go through a concept and see what documents are available to help you learn the concept. What concept? Blood typing!

You may have gotten your blood tested before, but do you know the science behind blood types? Have you ever thought about it, even? Well, if not, you’re in the right place! Let’s take a look at some of the concepts you need to know before looking deeper into blood typing.

First, what are genotypes and phenotypes? Did you notice those terms had links attached to them? We have Maple Learn documents on this topic, shown below. Take a moment to read them over before we continue, but to summarize: A genotype is the genetic makeup within a trait, whereas a phenotype is the displayed trait. Another important term to recognize is allele – the specific variations of genes that are involved in the genotype.

The next thing to review is Punnett Squares, and the document is also shown below. Review this one too, to learn how to examine genetic combinations! Take a good look at the tables being used, as well, as an example of a creative use of a typically mathematical feature.

Now let’s finally dig into the blood types. Humans have 4 different blood types (excluding the Rhesus factor – but we won’t be talking about that today): A, B, AB, and O. A and B alleles are represented with an “I” with a superscript A or B, respectively. O is represented with “i”. Remember, a full genotype has two alleles, so someone with the blood type O would be represented as “ii” in their genotype. Can you read the Punnett Square below?

To extend your learning, take a look at our blood typing quiz! This quiz allows you to practice making Punnett Squares on paper, in order to figure out the likelihood of a phenotype (the blood type) given the genotype of the parents.

We hope you enjoyed the concept walkthrough! Please let us know if there are any other concepts you’d like to see explained through Maple Learn documents. Until next time!

Notation is one of the most important things to communicate with others in science. It is remarkable how many people use or do not use a computer algebra package just because of its notation. For those reasons, in the context of the Physics package, strong emphasis is put on using textbook notation as much as possible regarding input and output, including, for that purpose, as people here know, significant developments in Maple typesetting.

Still, for historical reasons, when using the Physics package, the labels used to refer to a coordinate system had been a single Capital Letter, as in X, Y, ...It was not possible to use, e.g. X', or x.

That has changed. Starting with the Maplesoft Physics Updates v.1308, any symbol can be used as a coordinate system label. The lines below demo this change.

Download new_coordinates_labels.mw

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft