{"id":146,"date":"2018-01-26T20:07:55","date_gmt":"2018-01-26T20:07:55","guid":{"rendered":"http:\/\/sites.monroecc.edu\/multivariablecalculus\/?page_id=146"},"modified":"2021-07-26T16:00:37","modified_gmt":"2021-07-26T16:00:37","slug":"javascript-visualization-apps","status":"publish","type":"page","link":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/javascript-visualization-apps\/","title":{"rendered":"JavaScript Visualization Apps"},"content":{"rendered":"<h2>Multivariable Calculus Apps:<\/h2>\n<ul><li><a title=\"Opens external link in new window\" href=\"https:\/\/c3d.libretexts.org\/CalcPlot3D\/index.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>CalcPlot3D<\/strong><\/a> &#8211; a multivariable calculus visual exploration tool that allows the user to graph points, vectors, curves, surfaces, vector fields, and more.\u00a0 It also works with\u00a0<span style=\"color:#951f06;\"><strong>red<\/strong><\/span>&#8211;<span style=\"color:#004c97;\"><strong>blue<\/strong><\/span> or <span style=\"color:#951f06;\"><strong>red<\/strong><\/span>&#8211;<span style=\"color:#008099;\"><strong>cyan<\/strong><\/span> 3D glasses.<\/li>\n\t<li><a title=\"Opens external link in new window\" href=\"https:\/\/c3d.libretexts.org\/CalcPlot3D\/index-es.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>CalcPlot3D (en espa\u00f1ol)<\/strong><\/a> &#8211; This version of CalcPlot3D is completely in Spanish!<\/li>\n\t<li><a title=\"Opens external link in new window\" href=\"https:\/\/c3d.libretexts.org\/Projection\/index.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Projection of Vectors Exploration <\/strong><\/a>&#8211; this simple app allows the user to grab the tips of the two displayed vectors and vary them, observing the projection of the <span style=\"color:#445f11;\"><strong>green<\/strong><\/span> vector onto the <strong><span style=\"color:#004c97;\">blue<\/span><\/strong> one.<\/li>\n<\/ul><h2>Differential Equations Apps:<\/h2>\n<ul><li><a title=\"Opens external link in new window\" href=\"https:\/\/c3d.libretexts.org\/DirectionField\/index.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Direction Field Explorer<\/strong><\/a> &#8211; an app designed to allow you to visually verify the general solution of a 1st-order differential equation.\u00a0 You can enter the differential equation, solved for dy\/dx (or whatever variables it involves, setting these in the app).\u00a0 You can also enter the general solution using the independent variable and <strong><span style=\"font-family:'times new roman', times, serif;\"><em>C<\/em><\/span><\/strong> as the parameter.\u00a0 This parameter <strong><span style=\"font-family:'times new roman', times, serif;\"><em>C<\/em><\/span><\/strong> can then be varied either with the scrollbar or by entering a value to see if the resulting solution curve fits nicely in the direction field or not.\u00a0 If the vectors\/slope segments are not tangent to the path of the curve at all points, the general solution is not correct.\u00a0 That is, if for some value of <strong><span style=\"font-family:'times new roman', times, serif;\"><em>C<\/em><\/span><\/strong>, the solution curve does not go with the flow of the vectors in the direction field, then the general solution is incorrect.<\/li>\n<\/ul><h2>Linear Algebra Apps:<\/h2>\n<ul><li><a title=\"Opens external link in new window\" href=\"https:\/\/c3d.libretexts.org\/LinAlg4x4\/index.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>LinAlg4x4<\/strong><\/a> &#8211; a simplified version of CalcPlot3D that allows the user to apply a 4 x 4 transformation matrix to a 3D surface and the containing box to see its effect.\u00a0 The matrix can then be varied or left unchanged and applied to the view, multiple times.<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Multivariable Calculus Apps: CalcPlot3D &#8211; a multivariable calculus visual exploration tool that allows the user to graph points, vectors, curves, surfaces, vector fields, and more.\u00a0 It also works with\u00a0red&#8211;blue or red&#8211;cyan 3D glasses. CalcPlot3D (en espa\u00f1ol) &#8211; This version of CalcPlot3D is completely in Spanish! Projection of Vectors Exploration &#8211; this simple app allows the [&#8230;]<\/p>\n","protected":false},"author":654,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-146","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/146","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\/654"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/comments?post=146"}],"version-history":[{"count":15,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/146\/revisions"}],"predecessor-version":[{"id":331,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/146\/revisions\/331"}],"wp:attachment":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/media?parent=146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}