{"id":2,"date":"2017-07-18T17:34:16","date_gmt":"2017-07-18T17:34:16","guid":{"rendered":"http:\/\/sites.monroecc.edu\/multivariablecalculus\/?page_id=2"},"modified":"2024-07-18T01:44:20","modified_gmt":"2024-07-18T01:44:20","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/","title":{"rendered":"Exploring Multivariable Calculus!"},"content":{"rendered":"<h1>Exploring Multivariable Calculus!<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29 size-thumbnail\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/hyperboloid-150x150.jpg\" alt=\"Hyperboloid of one sheet\" width=\"150\" height=\"150\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-32 size-thumbnail\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/Klein-Bottleold-150x150.jpg\" alt=\"Klein Bottle\" width=\"150\" height=\"150\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/Klein-Bottleold-150x150.jpg 150w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/Klein-Bottleold-300x300.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/Klein-Bottleold.jpg 585w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33 size-thumbnail\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/Klein-Figure-8-150x150.jpg\" alt=\"Figure 8 Klein Surface\" width=\"150\" height=\"150\"><\/p>\n<p>Welcome to\u00a0<strong>Exploring Multivariable Calculus<\/strong>!\u00a0 This website is dedicated to helping you explore multivariable calculus, differential equations, and some three-dimensional topics within linear algebra and single variable calculus.<\/p>\n<p>Watch this <strong><a title=\"Opens external link in new window\" href=\"https:\/\/stemforall2020.videohall.com\/presentations\/1842\" target=\"_blank\" rel=\"noreferrer noopener\">3-minute video about this project<\/a> <\/strong>on the 2020 STEM for all Video Showcase.\u00a0 And read <strong><a href=\"https:\/\/www.usafa.edu\/award-winning-professor-employs-novel-teaching-methods\/\" target=\"_blank\" rel=\"noreferrer noopener\">this article<\/a><\/strong> about how Professor Shelby Stanhope has used CalcPlot3D and 3D-printed models to transform the way multivariable calculus is taught at the United States Air Force Academy.\u00a0 Professor Stanhope is a CalcPlot3D project team member.<\/p>\n<p>As you explore the visualization tools found on this site, I think you will enrich your understanding of the geometric aspects of the concepts of multivariable calculus, differential equations, and single-variable calculus.\u00a0 My goal is to enhance the geometric intuition of calculus students so that they are able to visualize the concepts and actually &#8220;see&#8221; the rich visual relationships and interactions described by the calculus concepts.<\/p>\n<p>As an instructor, I often found it difficult to draw the three-dimensional concepts clearly on the chalkboard and found myself waving my hands to try to get students to see what I was seeing.\u00a0 Using these visualization tools, I can show students a much clearer picture of what I have been describing verbally.<\/p>\n<p><strong>CalcPlot3D<\/strong> is a free online visualization app designed for exploring the concepts of multivariable calculus!\u00a0 It can also be used to explore concepts from many other math, physics and other STEM courses.\u00a0 Use the link above to access it!<\/p>\n<p>As a JavaScript app,\u00a0<strong>CalcPlot3D<\/strong> should run well in any modern browser not only on computers (in Chrome) but also on tablets and phones. Currently, most of the features of the Java version of <strong>CalcPlot3D<\/strong> have been recreated in the JavaScript app version.\u00a0\u00a0I recommend using the Chrome browser on computers since it supports the most current JavaScript features.<\/p>\n<p>There are even some new features introduced in the new app, including:<\/p>\n<ul>\n\t<li>The user can create 3D regions with top and bottom surfaces as well as being restricted to a 2D domain in the\u00a0<span style=\"font-family:'times new roman', times, serif;font-size:14pt\"><i>xy<\/i><\/span>-plane specified by two functions of\u00a0<span style=\"font-family:'times new roman', times, serif;font-size:14pt\"><i>x<\/i><\/span>\u00a0or of\u00a0<span style=\"font-family:'times new roman', times, serif;font-size:14pt\"><i>y<\/i><\/span>.<\/li>\n\t<li>The user can vary the rectangular <em><span style=\"font-size:14pt;font-family:'times new roman', times, serif\">uv<\/span><\/em>-domain of a parametric surface in the 2D trace plane.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-37 alignleft\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2017\/07\/logo_nsf.gif\" alt=\"National Science Foundation logo\" width=\"65\" height=\"65\">This web project is being developed with support from the\u00a0<abbr title=\"NSF\"><strong>National Science Foundation<\/strong><\/abbr> under the grants,\u00a0<span class=\"s2\"><b>NSF-IUSE 2121152 (2021-Present),<\/b><\/span>\u00a0<strong>DUE-IUSE 1524968 (2015-2019)<\/strong>\u00a0and\u00a0<strong>DUE-CCLI 0736968 (2008-2012)<\/strong>.\u00a0 Some support was also received from two Xerox STEM grants.<\/p>\n<p style=\"padding-left:90px\">Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.<\/p>","protected":false},"excerpt":{"rendered":"<p>Exploring Multivariable Calculus! Welcome to\u00a0Exploring Multivariable Calculus!\u00a0 This website is dedicated to helping you explore multivariable calculus, differential equations, and some three-dimensional topics within linear algebra and single variable calculus. Watch this 3-minute video about this project on the 2020 STEM for all Video Showcase.\u00a0 And read this article about how Professor Shelby Stanhope has [&#8230;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":31,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":547,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/2\/revisions\/547"}],"wp:attachment":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}