MaplePrimes - Questions and Posts tagged with teaching
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en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 25 Aug 2016 20:11:01 GMTThu, 25 Aug 2016 20:11:01 GMTThe most recent questions and posts on MaplePrimes tagged with teachinghttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Questions and Posts tagged with teaching
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combstruct package
http://www.mapleprimes.com/posts/200626-Combstruct-Package?ref=Feed:MaplePrimes:Tagged With teaching
<p>Greetings to all.</p>
<p>I am writing to alert MaplePrimes users to a Maple package that makes an remarkable contribution to combinatorics and really ought to be part of your discrete math / symbolic combinatorics class if you teach one. The <strong>combstruct</strong> package was developed at INRIA in Paris, France, by the algorithmics research team of P. Flajolet during the mid 1990s. This software package features a parser for grammars involving combinatorial operators such as sequence, set or multiset and it can derive functional equations from the grammar as well as exponential and ordinary generating functions for labeled and unlabeled enumeration. Coefficients of these generating functions can be computed. All of it easy to use and very powerful. If you are doing research on some type of combinatorial structure definitely check with <strong>combstruct</strong> first.</p>
<p>My purpose in this message is to advise you of the existence of this package and encourage you to use it in your teaching and research. With this in mind I present five applications of the <strong>combstruct</strong> package. These are very basic efforts that admit improvement that can perhaps serve as an incentive to deploy <strong>combstruct</strong> nonetheless. Here they are:</p>
<ul>
<li><a href="http://math.stackexchange.com/questions/1080099/">A parity bias for trees</a></li>
<li><a href="http://math.stackexchange.com/questions/551427/">Number of nodes with even offspring</a></li>
<li><a href="http://math.stackexchange.com/questions/1104289/">Trees with odd degree sequence</a></li>
<li><a href="http://math.stackexchange.com/questions/1188837/">Ordered rooted trees with all nodes having at least two child nodes</a></li>
<li><a href="http://math.stackexchange.com/questions/1287877/">Average depth of a leaf in an ordered binary tree</a></li>
</ul>
<p>I hope you enjoy reading these and perhaps you might want to feature <strong>combstruct</strong> as well, which presented the first complete implementation in a computer algebra system of the symbolic method, sometimes called the folklore theorem of combinatorial enumeration, when it initially appeared.</p>
<p>Best regards,</p>
<p>Marko Riedel.</p><p>Greetings to all.</p>
<p>I am writing to alert MaplePrimes users to a Maple package that makes an remarkable contribution to combinatorics and really ought to be part of your discrete math / symbolic combinatorics class if you teach one. The <strong>combstruct</strong> package was developed at INRIA in Paris, France, by the algorithmics research team of P. Flajolet during the mid 1990s. This software package features a parser for grammars involving combinatorial operators such as sequence, set or multiset and it can derive functional equations from the grammar as well as exponential and ordinary generating functions for labeled and unlabeled enumeration. Coefficients of these generating functions can be computed. All of it easy to use and very powerful. If you are doing research on some type of combinatorial structure definitely check with <strong>combstruct</strong> first.</p>
<p>My purpose in this message is to advise you of the existence of this package and encourage you to use it in your teaching and research. With this in mind I present five applications of the <strong>combstruct</strong> package. These are very basic efforts that admit improvement that can perhaps serve as an incentive to deploy <strong>combstruct</strong> nonetheless. Here they are:</p>
<ul>
<li><a href="http://math.stackexchange.com/questions/1080099/">A parity bias for trees</a></li>
<li><a href="http://math.stackexchange.com/questions/551427/">Number of nodes with even offspring</a></li>
<li><a href="http://math.stackexchange.com/questions/1104289/">Trees with odd degree sequence</a></li>
<li><a href="http://math.stackexchange.com/questions/1188837/">Ordered rooted trees with all nodes having at least two child nodes</a></li>
<li><a href="http://math.stackexchange.com/questions/1287877/">Average depth of a leaf in an ordered binary tree</a></li>
</ul>
<p>I hope you enjoy reading these and perhaps you might want to feature <strong>combstruct</strong> as well, which presented the first complete implementation in a computer algebra system of the symbolic method, sometimes called the folklore theorem of combinatorial enumeration, when it initially appeared.</p>
<p>Best regards,</p>
<p>Marko Riedel.</p>200626Mon, 26 Jan 2015 21:47:32 ZmriedelmriedelInteresting application
http://www.mapleprimes.com/posts/200172-Interesting-Application?ref=Feed:MaplePrimes:Tagged With teaching
<p>I'd like to pay attention to <a href="http://www.maplesoft.com/applications/view.aspx?SID=144592">an application "Periodicity of Sunspots " by Samir Khan</a>, where a real data is analysed. That application can be used in teaching statistics.</p>
<p>PS. The code by Samir Khan works well for me.</p><p>I'd like to pay attention to <a href="http://www.maplesoft.com/applications/view.aspx?SID=144592">an application "Periodicity of Sunspots " by Samir Khan</a>, where a real data is analysed. That application can be used in teaching statistics.</p>
<p>PS. The code by Samir Khan works well for me.</p>200172Fri, 24 Jan 2014 06:05:09 ZMarkiyan HirnykMarkiyan Hirnykannouncement of textbook for mathematics with Maple, new edition
http://www.mapleprimes.com/posts/143488-Announcement-Of-Textbook-For-Mathematics?ref=Feed:MaplePrimes:Tagged With teaching
<p> A powerful approach to the teaching and learning of mathematics for students of science and engineering has been made practical through the development of powerful general mathematical software, of which Maple provides the least steep learning curve. Accordingly, it is timely to produce an interactive electronic textbook that, for students of chemistry -- also biochemistry and chemical engineering, has as its objective in part I,<br>Mathematics for...<p> A powerful approach to the teaching and learning of mathematics for students of science and engineering has been made practical through the development of powerful general mathematical software, of which Maple provides the least steep learning curve. Accordingly, it is timely to produce an interactive electronic textbook that, for students of chemistry -- also biochemistry and chemical engineering, has as its objective in part I,<br>Mathematics for Chemistry, to teach all the mathematics that an instructor of chemistry might wish his undergraduate students to learn and to understand on the basis of courses typically delivered in departments of<br>mathematics and statistics. Of nine chapters in part I, the titles are<br> 0 Exemplary illustrations of use of Maple<br> 1 Numbers, symbols and elementary functions<br> 2 Plotting, geometry, trigonometry, complex analysis and functions<br> 3 Differentiation<br> 4 Integration<br> 5 Calculus with multiple independent variables<br> 6 Linear algebra<br> 7 Differential and integral equations<br> 8 Probability, statistics, regression and optimization<br>The content of these chapters is almost entirely mathematical, with some examples and exercises having a chemical or physical basis.<br> In part II, intended to serve as Mathematics of Chemistry, in the sense of the standard volumes by Margenau and Murphy, the intention is to present the mathematical basis of several topics typically taught within<br>chemistry courses at undergraduate or post-graduate level. The titles of chapters available in Part II within edition 4.0 are<br> 9 Chemical equilibrium<br> 10 Group theory<br> 11 Graph theory<br> 12 Introduction to quantum mechanics<br> 13 Introduction to molecular optical spectrometry<br>Further content to be added to Part II is under active development.<br> This book is made available, gratis, through Centre for Experimental and Constructive Mathematics at Simon Fraser University, Burnaby British Columbia Canada at <a href="http://www.cecm.sfu.ca/research/chemistry.html">http://www.cecm.sfu.ca/research/chemistry.html</a> and requires a recent release of Maple for its use.<br><br><br></p>143488Thu, 14 Feb 2013 22:36:50 ZJ F OgilvieJ F OgilvieCan anyone suggest some non-routine class projects for a Calculus II course using Maple?
http://www.mapleprimes.com/questions/141151-Can-Anyone-Suggest-Some-Nonroutine?ref=Feed:MaplePrimes:Tagged With teaching
<p>I'm looking for several challenging projects for a Calculus II course using Maple which I'll be teaching in Spring 2013. By challenging I mean that the project will have several steps including both conceptual and computational aspects. I'd also like them to be suitable for group work if possible. I'd be willing to devote from 3-5 class periods for each of three or four different projects. Our Calc I and Calc II are five hour...<p>I'm looking for several challenging projects for a Calculus II course using Maple which I'll be teaching in Spring 2013. By challenging I mean that the project will have several steps including both conceptual and computational aspects. I'd also like them to be suitable for group work if possible. I'd be willing to devote from 3-5 class periods for each of three or four different projects. Our Calc I and Calc II are five hour courses which meet daily for 50 minutes. Topics for these projects could be applications of integrals, techniques of integration, first order separable d.e.'s, series, and polar coordinates and conics, i.e. all of the standard Calc II projects.</p>141151Thu, 06 Dec 2012 00:30:35 Zjheidel@unomaha.edujheidel@unomaha.eduTeaching Calculus with Maple: A Complete Kit
http://www.mapleprimes.com/posts/139346-Teaching-Calculus-With-Maple-A-Complete-Kit?ref=Feed:MaplePrimes:Tagged With teaching
<p>We have just released Teaching Calculus with Maple: A Complete Kit. Leveraging both Maple and Maple T.A., <em>Teaching Calculus with Maple</em> includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more – everything you need to teach Calculus 1 and Calculus 2. <em>Teaching Calculus with Maple</em> was developed at the University of Guelph under the leadership of an award-winning teacher and field-tested in classes with hundreds of students.<p>We have just released Teaching Calculus with Maple: A Complete Kit. Leveraging both Maple and Maple T.A., <em>Teaching Calculus with Maple</em> includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more – everything you need to teach Calculus 1 and Calculus 2. <em>Teaching Calculus with Maple</em> was developed at the University of Guelph under the leadership of an award-winning teacher and field-tested in classes with hundreds of students.</p>
<p>This is a free product. For more information and to download a copy, visit <a href="http://www.maplesoft.com/contact/webforms/CalculusKit.aspx?ref=mapleprimes">Teaching Calculus with Maple.</a></p>139346Thu, 08 Nov 2012 23:58:57 ZbryonbryonImplicitplot3d bounded portion of surface
http://www.mapleprimes.com/questions/137603-Implicitplot3d-Bounded-Portion-Of-Surface?ref=Feed:MaplePrimes:Tagged With teaching
<p>I want to graph the portion of the plane 2x + 3y + z = 6 that are located in the first octant of a xyz coordinate system. The following implicitplot3d should in principle do it:</p>
<p><p>I want to graph the portion of the plane 2x + 3y + z = 6 that are located in the first octant of a xyz coordinate system. The following implicitplot3d should in principle do it:</p>
<p><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=616d2842c57ba793a4f6951459e92e91.gif" alt="implicitplot3d(piecewise(`and`(`and`(x >= 0, y >= 0), z >= 0), 2*x+3*y+z = 6, undefined), x = -3 .. 3, y = -3 .. 3, z = -1 .. 7, color = red, axes = normal, scaling = constrained, style = surface)"></p>
<p>When I execute the command I actually see the expected triangular part of the plane for a split second, but then it disappears. I can of course solve the equation with respect to z and use plot3d, which works fine. The problem is that I want to use implicitplot3d to illustrate the concept of implicit surfaces to the students that I am teaching. So for pedagogical I want to keep the Maple code as close as possible to the way that the problem is stated in the text book. What I mean is that I am not looking for technical workarounds that tend to move the focus away from the core mathematics.</p>
<p><a href="/view.aspx?sf=137603/443190/Graph_bounded_plan.mw">Graph_bounded_plan.mw</a></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=137603/443190/a627c82593b052022d42cf4aad045e7d.gif" alt="restart" width="46" height="23"></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=137603/443190/43568cf14d8f77023d6cb3f9ba5f258b.gif" alt="with(plots):" width="87" height="23"></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -71;" src="/view.aspx?sf=137603/443190/8c669b5fe20ea88a29e9b39508fa9a6c.gif" alt="implicitplot3d(piecewise(`and`(`and`(x >= 0, y >= 0), z >= 0), 2*x+3*y+z = 6, undefined), x = -3 .. 3, y = -3 .. 3, z = -1 .. 7, color = red, axes = normal, scaling = constrained, style = surface)" width="576" height="104" align="middle"></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"><img style="border: none;" src="/view.aspx?sf=137603/443190/d3d7e47f8fc96ceee27152c4b678017f.gif" alt="" width="400" height="400" align="middle"></a></p>
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<td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -71;" src="/view.aspx?sf=137603/443190/e1a2a9d95a9c392d52a52960c42fea43.gif" alt="plot3d(piecewise(`and`(`and`(x >= 0, y >= 0), 6-2*x-3*y >= 0), 6-2*x-3*y, undefined), x = -3 .. 3, y = -3 .. 3, view = -1 .. 7, color = red, axes = normal, scaling = constrained, style = surface)" width="576" height="104" align="middle"></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"><img style="border: none;" src="/view.aspx?sf=137603/443190/0a902d7235e8ed6d02cb2247e8e37b41.gif" alt="" width="400" height="400" align="middle"></a></p>
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<p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=137603/443190/4d2d8ee8f26472cc0f1f093774645147.gif" alt="``" width="11" height="23"></p>
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<p><a href="/view.aspx?sf=137603/443190/Graph_bounded_plan.mw">Download Graph_bounded_plan.mw</a></p>137603Sat, 22 Sep 2012 13:10:51 Zhsogaardhsogaard