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en-us2022 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemWed, 17 Aug 2022 07:55:28 GMTWed, 17 Aug 2022 07:55:28 GMTThe latest posts on the Maplesoft Bloghttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Maplesoft Blog
http://www.mapleprimes.com/maplesoftblog
Maple Learn Collection Dive – Derivatives
https://www.mapleprimes.com/maplesoftblog/218188-Maple-Learn-Collection-Dive--Derivatives?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>Welcome back to another post on the Maple Learn Calculus collection! Previously on this series we looked at the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/limits-b02icjom8t/">Limit subcollection</a>, and today we are going to look at the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives">Derivative subcollection</a> in the Maple Learn Document Gallery.</p>
<p><img src="/view.aspx?sf=218188_post/1.png"></p>
<p>There are many different types of documents in this sub collection, so let’s take a look at one of them. We’ll start with the very first question people ask when learning about derivatives: <a href="https://learn.maplesoft.com/doc/what-is-a-derivative-ez866ehw2s">What is a derivative?</a></p>
<p> </p>
<p>This document starts us off with an example of f(x):=x<sup>2</sup>. The example provides the background information for the rest of the document, and a visualization with a slider.</p>
<p><img src="/view.aspx?sf=218188_post/2.png"></p>
<p>Then, we define both the Geometric and Algebraic definition of a derivative. This allows us to understand the concept in two different ways, a very useful thing for students as they explore other topics within calculus. </p>
<p>Finally, the document suggests two more documents for future learning: <a href="https://learn.maplesoft.com/doc/derivatives-notation-9nj83y0v14">Derivatives: Notation</a>, for more information on the notation used in derivatives, and the <a href="https://learn.maplesoft.com/doc/limits-formal-definition-iv4o1pmg62">Formal Definition of a Derivative</a> document, for more information on how derivatives are formally defined and derived. Make sure to check them out too!</p>
<p><img src="/view.aspx?sf=218188_post/3.png"></p>
<p>Now, that’s just the start. We’ve got <a href="https://learn.maplesoft.com/doc/quotient-rule-practice-questions-jfd5xnpgbx">practice problems</a>, <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/derivatives-basic-rules/">definitions and visualizations of rules</a>, <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/derivatives-points-without-derivatives/">information on points without derivatives</a>, and much more. They’re useful for both new learning and as a refresher, so take a look!</p>
<p>We can’t wait to see you another time for when we dive into <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivative</a> documents. Let us know after the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi">Calculus</a> collection showcase blog posts if there’s another collection you’d like to see showcased!</p>
<p> </p>
<p>Welcome back to another post on the Maple Learn Calculus collection! Previously on this series we looked at the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/limits-b02icjom8t/">Limit subcollection</a>, and today we are going to look at the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives">Derivative subcollection</a> in the Maple Learn Document Gallery.</p>
<p><img src="/view.aspx?sf=218188_post/1.png"></p>
<p>There are many different types of documents in this sub collection, so let’s take a look at one of them. We’ll start with the very first question people ask when learning about derivatives: <a href="https://learn.maplesoft.com/doc/what-is-a-derivative-ez866ehw2s">What is a derivative?</a></p>
<p> </p>
<p>This document starts us off with an example of f(x):=x<sup>2</sup>. The example provides the background information for the rest of the document, and a visualization with a slider.</p>
<p><img src="/view.aspx?sf=218188_post/2.png"></p>
<p>Then, we define both the Geometric and Algebraic definition of a derivative. This allows us to understand the concept in two different ways, a very useful thing for students as they explore other topics within calculus. </p>
<p>Finally, the document suggests two more documents for future learning: <a href="https://learn.maplesoft.com/doc/derivatives-notation-9nj83y0v14">Derivatives: Notation</a>, for more information on the notation used in derivatives, and the <a href="https://learn.maplesoft.com/doc/limits-formal-definition-iv4o1pmg62">Formal Definition of a Derivative</a> document, for more information on how derivatives are formally defined and derived. Make sure to check them out too!</p>
<p><img src="/view.aspx?sf=218188_post/3.png"></p>
<p>Now, that’s just the start. We’ve got <a href="https://learn.maplesoft.com/doc/quotient-rule-practice-questions-jfd5xnpgbx">practice problems</a>, <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/derivatives-basic-rules/">definitions and visualizations of rules</a>, <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/derivatives-points-without-derivatives/">information on points without derivatives</a>, and much more. They’re useful for both new learning and as a refresher, so take a look!</p>
<p>We can’t wait to see you another time for when we dive into <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivative</a> documents. Let us know after the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi">Calculus</a> collection showcase blog posts if there’s another collection you’d like to see showcased!</p>
<p> </p>
218188Fri, 12 Aug 2022 13:25:49 ZMaple Flow 2022.1 update
https://www.mapleprimes.com/maplesoftblog/218128-Maple-Flow-20221--Update?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>We've just released Maple Flow 2022.1. We've squeezed in a few new features as requested by our users - I'll describe them below.</p>
<p>Before we get to that, I'd like to give everyone an open invitation to <a href="https://www.maplesoft.com/products/mapleflow/free-trial/">grab a Maple Flow trial</a> - I'd love to know what you think. I'm fanatically devoted to making Flow better, but I can only do that if you give me your feedback.</p>
<p>You can specify if you want your results to be globally displayed using engineering, scientific, or fixed notation</p>
<p><img src="/view.aspx?sf=218128_post/numeric_formating.png"></p>
<p>Supporting images can be cut and pasted from another source directly into Maple Flow using standard clipboard operations.</p>
<p><img src="/view.aspx?sf=218128_post/paste-image(1).gif"></p>
<p>You can now insert a time stamp in headers and footers. And you can optionally place a border around the header, footer or body of the page.</p>
<p><img src="/view.aspx?sf=218128_post/time-stamp.gif"></p>
<p><span style="font-size:12.0pt;font-family:"Lato","sans-serif";
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:
Calibri;color:black;mso-ansi-language:EN-US;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA">New content in the help system makes it easier to get started with advanced features, including techniques for optimization and signal processing.</span></p>
<p><img src="/view.aspx?sf=218128_post/help.gif"></p>
<p>Go <a href="https://www.maplesoft.com/products/Mapleflow/new-features/#2022_1">here</a> to learn more...and don't forget to <a href="https://www.maplesoft.com/products/mapleflow/free-trial/">grab a trial</a>.</p>
<p> </p>
<p>We've just released Maple Flow 2022.1. We've squeezed in a few new features as requested by our users - I'll describe them below.</p>
<p>Before we get to that, I'd like to give everyone an open invitation to <a href="https://www.maplesoft.com/products/mapleflow/free-trial/">grab a Maple Flow trial</a> - I'd love to know what you think. I'm fanatically devoted to making Flow better, but I can only do that if you give me your feedback.</p>
<p>You can specify if you want your results to be globally displayed using engineering, scientific, or fixed notation</p>
<p><img src="/view.aspx?sf=218128_post/numeric_formating.png"></p>
<p>Supporting images can be cut and pasted from another source directly into Maple Flow using standard clipboard operations.</p>
<p><img src="/view.aspx?sf=218128_post/paste-image(1).gif"></p>
<p>You can now insert a time stamp in headers and footers. And you can optionally place a border around the header, footer or body of the page.</p>
<p><img src="/view.aspx?sf=218128_post/time-stamp.gif"></p>
<p><span style="font-size:12.0pt;font-family:"Lato","sans-serif";
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:
Calibri;color:black;mso-ansi-language:EN-US;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA">New content in the help system makes it easier to get started with advanced features, including techniques for optimization and signal processing.</span></p>
<p><img src="/view.aspx?sf=218128_post/help.gif"></p>
<p>Go <a href="https://www.maplesoft.com/products/Mapleflow/new-features/#2022_1">here</a> to learn more...and don't forget to <a href="https://www.maplesoft.com/products/mapleflow/free-trial/">grab a trial</a>.</p>
<p> </p>
218128Thu, 04 Aug 2022 16:51:49 ZSamir KhanSamir KhanCollection Discussion – Steps Collection
https://www.mapleprimes.com/maplesoftblog/218094-Collection-Discussion--Steps-Collection?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>Yes, you read that right! Steps documents are a feature in Maple Learn that we wanted to highlight this week, as they can provide great use in understanding concepts and solving problems. Within them, they can show all steps to solve a problem, including reminders of any formulas used! They can be found at the <a href="https://learn.maplesoft.com/doc/maple-learn-steps-home-page-49gjzv7l15">homepage for steps documents</a>. A list of all can be found below the image, with links.</p>
<p><img src="/view.aspx?sf=218094_post/1.png"></p>
<p>All steps documents:</p>
<ul>
<li>Calculus
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/derivatives-step-by-step-g3zyos3xrf">Derivative Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/limits-steps-px1rsbo7mz">Limit Steps</a></li>
</ul>
</li>
<li>Algebra and Equations Steps
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/expansion-steps-4u2meziej0">Expansion Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/simplification-steps-cal61xk5od">Simplification Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/equation-solving-steps-kxg4tqqqw5">Solving Equation Steps</a></li>
<li><a href="https://learn.maplesoft.com/doc/factoring-steps-cs1ap55a2t">Factoring Steps</a></li>
</ul>
</li>
<li>Matrix Steps
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/matrix-determinant-steps-v126gmvoco">Determinant Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-eigenvector-steps-98258xc2s6">Eigenvector Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-inverse-steps-erlgxbq99o">Inverse Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-gauss-jordan-elimination-steps-h92jdsu29v">Gauss-Jordan Elimination Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-gaussian-elimination-steps-7qbkik90iz">Gaussian Elimination Steps</a></li>
</ul>
</li>
</ul>
<p>All of our documents follow the same format, which I’ll show you using 3 different documents: <a href="https://learn.maplesoft.com/#/doc/derivatives-step-by-step-g3zyos3xrf">Derivatives Steps</a>, <a href="https://learn.maplesoft.com/doc/factoring-steps-cs1ap55a2t">Factoring Steps</a>, and <a href="https://learn.maplesoft.com/#/doc/matrix-determinant-steps-v126gmvoco">Matrix Determinant Steps</a>. They will be shown from left to right in that order, so you can see the different steps and how they work.</p>
<p> </p>
<p>The first thing you’ll see on any steps document is the place to enter the equation. Each equation can be entered in the appropriate box, in different styles to fit your needs and the problem asked.</p>
<p><img src="/view.aspx?sf=218094_post/2.png"><img src="/view.aspx?sf=218094_post/2.5.png"><img src="/view.aspx?sf=218094_post/3.png"></p>
<p>Then, you click on the show steps button, which is the same for all of the documents:</p>
<p style="margin-left:1.5in;"><img src="/view.aspx?sf=218094_post/4.png"></p>
<p>This is where the magic happens. The steps will appear line by line, in great detail. The actual steps are generated by Maple, and presented in Maple Learn through scripting. Because of this, please don’t click off the group the steps appear in, or they’ll appear in the new group as well!</p>
<p><img src="/view.aspx?sf=218094_post/5.png"><img src="/view.aspx?sf=218094_post/6.png"><img src="/view.aspx?sf=218094_post/7.png"></p>
<p>There are many other steps documents than the ones we have here, and will be adding more as time goes on. Please keep an eye out, and enjoy the updates! We hope this was helpful to you all, and let us know if there are any other steps you’d like to see.</p>
<p> </p>
<p>Yes, you read that right! Steps documents are a feature in Maple Learn that we wanted to highlight this week, as they can provide great use in understanding concepts and solving problems. Within them, they can show all steps to solve a problem, including reminders of any formulas used! They can be found at the <a href="https://learn.maplesoft.com/doc/maple-learn-steps-home-page-49gjzv7l15">homepage for steps documents</a>. A list of all can be found below the image, with links.</p>
<p><img src="/view.aspx?sf=218094_post/1.png"></p>
<p>All steps documents:</p>
<ul>
<li>Calculus
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/derivatives-step-by-step-g3zyos3xrf">Derivative Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/limits-steps-px1rsbo7mz">Limit Steps</a></li>
</ul>
</li>
<li>Algebra and Equations Steps
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/expansion-steps-4u2meziej0">Expansion Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/simplification-steps-cal61xk5od">Simplification Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/equation-solving-steps-kxg4tqqqw5">Solving Equation Steps</a></li>
<li><a href="https://learn.maplesoft.com/doc/factoring-steps-cs1ap55a2t">Factoring Steps</a></li>
</ul>
</li>
<li>Matrix Steps
<ul style="list-style-type:circle;">
<li><a href="https://learn.maplesoft.com/#/doc/matrix-determinant-steps-v126gmvoco">Determinant Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-eigenvector-steps-98258xc2s6">Eigenvector Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-inverse-steps-erlgxbq99o">Inverse Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-gauss-jordan-elimination-steps-h92jdsu29v">Gauss-Jordan Elimination Steps</a></li>
<li><a href="https://learn.maplesoft.com/#/doc/matrix-gaussian-elimination-steps-7qbkik90iz">Gaussian Elimination Steps</a></li>
</ul>
</li>
</ul>
<p>All of our documents follow the same format, which I’ll show you using 3 different documents: <a href="https://learn.maplesoft.com/#/doc/derivatives-step-by-step-g3zyos3xrf">Derivatives Steps</a>, <a href="https://learn.maplesoft.com/doc/factoring-steps-cs1ap55a2t">Factoring Steps</a>, and <a href="https://learn.maplesoft.com/#/doc/matrix-determinant-steps-v126gmvoco">Matrix Determinant Steps</a>. They will be shown from left to right in that order, so you can see the different steps and how they work.</p>
<p> </p>
<p>The first thing you’ll see on any steps document is the place to enter the equation. Each equation can be entered in the appropriate box, in different styles to fit your needs and the problem asked.</p>
<p><img src="/view.aspx?sf=218094_post/2.png"><img src="/view.aspx?sf=218094_post/2.5.png"><img src="/view.aspx?sf=218094_post/3.png"></p>
<p>Then, you click on the show steps button, which is the same for all of the documents:</p>
<p style="margin-left:1.5in;"><img src="/view.aspx?sf=218094_post/4.png"></p>
<p>This is where the magic happens. The steps will appear line by line, in great detail. The actual steps are generated by Maple, and presented in Maple Learn through scripting. Because of this, please don’t click off the group the steps appear in, or they’ll appear in the new group as well!</p>
<p><img src="/view.aspx?sf=218094_post/5.png"><img src="/view.aspx?sf=218094_post/6.png"><img src="/view.aspx?sf=218094_post/7.png"></p>
<p>There are many other steps documents than the ones we have here, and will be adding more as time goes on. Please keep an eye out, and enjoy the updates! We hope this was helpful to you all, and let us know if there are any other steps you’d like to see.</p>
<p> </p>
218094Fri, 29 Jul 2022 14:53:44 ZDocument Walkthrough – Fundamental Subspaces
https://www.mapleprimes.com/maplesoftblog/218047-Document-Walkthrough--Fundamental-Subspaces?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>Have you ever heard of a matrix kernel or nullspace? If not, or you’d like a refresher on the topic, keep reading! We’re doing a Maple Learn document walkthrough today on <a href="https://learn.maplesoft.com/doc/fundamental-subspaces-kernelnullspace-685slfcfcw">Fundamental Subspaces</a>.</p>
<p>The document starts by defining the nullspace/kernel and nullity of a matrix. Nullity is defined as the number of vectors in the basis of the kernel for the given matrix. This makes sense, as nullspace is defined as:</p>
<p> <img src="/view.aspx?sf=218047_post/1.png"></p>
<p>This may still not make sense to you, and that’s okay! We have an example for a reason, where we try to find a basis for Null(A) and state the dimension of the subspace (nullity).</p>
<p> <img src="/view.aspx?sf=218047_post/2.png"></p>
<p>I won’t go through the solution here, as trying it yourself is always important. But one hint! If you get really stuck, you can find the Reduced Row Echelon Form (RREF) and the kernel using Maple Learn’s context panel, or check out the rest of our <a href="https://learn.maplesoft.com/c/maplesoft/vectors-tjb3wqwbrr/matrices-xtguz69wyo/">Matrices collection</a> for other helpful documents on this topic.</p>
<p><img src="/view.aspx?sf=218047_post/3.png"></p>
<p> </p>
<p>Please let us know what you thought of this walkthrough or if there are any specific documents or topics you’d like to see in the comments below this post. I hope you enjoyed this walkthrough!</p>
<p>Have you ever heard of a matrix kernel or nullspace? If not, or you’d like a refresher on the topic, keep reading! We’re doing a Maple Learn document walkthrough today on <a href="https://learn.maplesoft.com/doc/fundamental-subspaces-kernelnullspace-685slfcfcw">Fundamental Subspaces</a>.</p>
<p>The document starts by defining the nullspace/kernel and nullity of a matrix. Nullity is defined as the number of vectors in the basis of the kernel for the given matrix. This makes sense, as nullspace is defined as:</p>
<p> <img src="/view.aspx?sf=218047_post/1.png"></p>
<p>This may still not make sense to you, and that’s okay! We have an example for a reason, where we try to find a basis for Null(A) and state the dimension of the subspace (nullity).</p>
<p> <img src="/view.aspx?sf=218047_post/2.png"></p>
<p>I won’t go through the solution here, as trying it yourself is always important. But one hint! If you get really stuck, you can find the Reduced Row Echelon Form (RREF) and the kernel using Maple Learn’s context panel, or check out the rest of our <a href="https://learn.maplesoft.com/c/maplesoft/vectors-tjb3wqwbrr/matrices-xtguz69wyo/">Matrices collection</a> for other helpful documents on this topic.</p>
<p><img src="/view.aspx?sf=218047_post/3.png"></p>
<p> </p>
<p>Please let us know what you thought of this walkthrough or if there are any specific documents or topics you’d like to see in the comments below this post. I hope you enjoyed this walkthrough!</p>
218047Fri, 22 Jul 2022 15:28:38 ZMaple Learn Collection Dive – Limits
https://www.mapleprimes.com/maplesoftblog/217975-Maple-Learn-Collection-Dive--Limits?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>We’ve decided to start a new series of blog posts, where we take a closer look at the collections available in Maple Learn. What collection are we looking at first, you ask? Our largest, the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/">Calculus collection</a>! This collection has around 250 documents, and was one of the first to be added to the Maple Learn document gallery.</p>
<p><img src="/view.aspx?sf=217975_post/1.png"></p>
<p>Because it’s so big, we can’t talk about it all in one post. Instead, we’re going to break it up into three posts: <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/limits-b02icjom8t/">Limits</a> (this one!), <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivatives</a>, and <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/integration-071av7mxyi/">Integration</a>. Keep an eye out for those other ones!</p>
<p>Let’s dive into it. If you’re learning limits for the first time, the first document you’ll want to take a look at is our document on the <a href="https://learn.maplesoft.com/doc/limits-formal-definition-iv4o1pmg62">formal definition of limits</a>.</p>
<p><img src="/view.aspx?sf=217975_post/6.PNG"></p>
<p>And of course, just as the document title says, we start with the formal definition of a limit:</p>
<p><img src="/view.aspx?sf=217975_post/2.png"></p>
<p>From there, like many of our other documents, there’s a visualization to the left, and an explanation to the right. Seems fairly simple, right?</p>
<p>Well, what if you wanted to dig further into the topic?</p>
<p>That’s what the rest of this collection is for! We have documents on many topics relating to limits, such as <a href="https://learn.maplesoft.com/doc/squeeze-theorem-ac9ji3l9al">The Squeeze Theorem</a>, or <a href="https://learn.maplesoft.com/doc/the-fundamental-trig-limit-lpvdd7il1k">The Fundamental Trig Limit</a> (don’t forget to use the slider!). We also have a <a href="https://learn.maplesoft.com/doc/limits-steps-px1rsbo7mz">steps document</a>, to help you solve any limits problems you’ve created or found.</p>
<p><img src="/view.aspx?sf=217975_post/4.PNG"><img src="/view.aspx?sf=217975_post/5.PNG"></p>
<p><img src="/view.aspx?sf=217975_post/3.png"></p>
<p>We can’t wait to see you another time for when we dive into <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivative</a> documents. Let us know if after the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi">Calculus</a> collection showcase, if you have another collection you’d like to see summarized!</p>
<p>We’ve decided to start a new series of blog posts, where we take a closer look at the collections available in Maple Learn. What collection are we looking at first, you ask? Our largest, the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/">Calculus collection</a>! This collection has around 250 documents, and was one of the first to be added to the Maple Learn document gallery.</p>
<p><img src="/view.aspx?sf=217975_post/1.png"></p>
<p>Because it’s so big, we can’t talk about it all in one post. Instead, we’re going to break it up into three posts: <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/limits-b02icjom8t/">Limits</a> (this one!), <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivatives</a>, and <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/integration-071av7mxyi/">Integration</a>. Keep an eye out for those other ones!</p>
<p>Let’s dive into it. If you’re learning limits for the first time, the first document you’ll want to take a look at is our document on the <a href="https://learn.maplesoft.com/doc/limits-formal-definition-iv4o1pmg62">formal definition of limits</a>.</p>
<p><img src="/view.aspx?sf=217975_post/6.PNG"></p>
<p>And of course, just as the document title says, we start with the formal definition of a limit:</p>
<p><img src="/view.aspx?sf=217975_post/2.png"></p>
<p>From there, like many of our other documents, there’s a visualization to the left, and an explanation to the right. Seems fairly simple, right?</p>
<p>Well, what if you wanted to dig further into the topic?</p>
<p>That’s what the rest of this collection is for! We have documents on many topics relating to limits, such as <a href="https://learn.maplesoft.com/doc/squeeze-theorem-ac9ji3l9al">The Squeeze Theorem</a>, or <a href="https://learn.maplesoft.com/doc/the-fundamental-trig-limit-lpvdd7il1k">The Fundamental Trig Limit</a> (don’t forget to use the slider!). We also have a <a href="https://learn.maplesoft.com/doc/limits-steps-px1rsbo7mz">steps document</a>, to help you solve any limits problems you’ve created or found.</p>
<p><img src="/view.aspx?sf=217975_post/4.PNG"><img src="/view.aspx?sf=217975_post/5.PNG"></p>
<p><img src="/view.aspx?sf=217975_post/3.png"></p>
<p>We can’t wait to see you another time for when we dive into <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi/derivatives/">Derivative</a> documents. Let us know if after the <a href="https://learn.maplesoft.com/c/maplesoft/calculus-gwe2ts7xyi">Calculus</a> collection showcase, if you have another collection you’d like to see summarized!</p>
217975Fri, 15 Jul 2022 15:28:05 ZDocument Walkthrough - Eulerian Paths
https://www.mapleprimes.com/maplesoftblog/217942-Document-Walkthrough--Eulerian-Paths?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>Today I’m here with a document walkthrough under the subject of graph theory! Do you know what an Eulerian path is? Have you ever tried to find one?</p>
<p>An Eulerian path is a path that uses every edge in the graph exactly once. Vertices can be revisited, just not the edges. There are mathematical ways to find an Eulerian path, but at the level of math I’m at, I just use my eyes!</p>
<p> <img src="/view.aspx?sf=217942_post/1.png"></p>
<p>In the document <a href="https://learn.maplesoft.com/doc/eulerian-paths-quiz-o1w0keqewi">Eulerian Paths Quiz</a>, we focus on trying to find an Eulerian path. This document, created using Maple scripting, uses the click on plot feature, allowing you to click on the edges and check your answer. When an edge is clicked, it turns red, and feedback is given.</p>
<p><img src="/view.aspx?sf=217942_post/2.png"></p>
<p>If you make a mistake, there are a few options. If the most recent edge chosen is the mistake, you can simply click on it again to undo the selection. However, if the mistake is several edges back, or you need to undo the whole thing, you can click the blue reset button.</p>
<p> <img src="/view.aspx?sf=217942_post/3.png"></p>
<p>Once you’ve done one, you might want to try another graph. That’s why we have a try another button, to give you another random new graph.</p>
<p><img src="/view.aspx?sf=217942_post/4.png"></p>
<p>We hope you enjoy this document! If you’re curious about how this document was scripted, you can see our script <a href="https://maple.cloud/app/6617506103164928/Euler?key=B1593418A6B94AF9ADFAA0F23E50D60DDBA051E20569489798BB1C4218BE66BD">HERE</a>. Please let us know if there are any specific documents you’d like as a walkthrough in the comments below, and check out our other <a href="https://learn.maplesoft.com/c/maplesoft/graph-theory-o55czi06m1/">graph theory</a> documents.</p>
<p>Today I’m here with a document walkthrough under the subject of graph theory! Do you know what an Eulerian path is? Have you ever tried to find one?</p>
<p>An Eulerian path is a path that uses every edge in the graph exactly once. Vertices can be revisited, just not the edges. There are mathematical ways to find an Eulerian path, but at the level of math I’m at, I just use my eyes!</p>
<p> <img src="/view.aspx?sf=217942_post/1.png"></p>
<p>In the document <a href="https://learn.maplesoft.com/doc/eulerian-paths-quiz-o1w0keqewi">Eulerian Paths Quiz</a>, we focus on trying to find an Eulerian path. This document, created using Maple scripting, uses the click on plot feature, allowing you to click on the edges and check your answer. When an edge is clicked, it turns red, and feedback is given.</p>
<p><img src="/view.aspx?sf=217942_post/2.png"></p>
<p>If you make a mistake, there are a few options. If the most recent edge chosen is the mistake, you can simply click on it again to undo the selection. However, if the mistake is several edges back, or you need to undo the whole thing, you can click the blue reset button.</p>
<p> <img src="/view.aspx?sf=217942_post/3.png"></p>
<p>Once you’ve done one, you might want to try another graph. That’s why we have a try another button, to give you another random new graph.</p>
<p><img src="/view.aspx?sf=217942_post/4.png"></p>
<p>We hope you enjoy this document! If you’re curious about how this document was scripted, you can see our script <a href="https://maple.cloud/app/6617506103164928/Euler?key=B1593418A6B94AF9ADFAA0F23E50D60DDBA051E20569489798BB1C4218BE66BD">HERE</a>. Please let us know if there are any specific documents you’d like as a walkthrough in the comments below, and check out our other <a href="https://learn.maplesoft.com/c/maplesoft/graph-theory-o55czi06m1/">graph theory</a> documents.</p>
217942Fri, 08 Jul 2022 12:42:06 Z