{"id":391,"date":"2023-01-20T03:40:42","date_gmt":"2023-01-20T03:40:42","guid":{"rendered":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/?page_id=391"},"modified":"2024-10-24T20:48:25","modified_gmt":"2024-10-24T20:48:25","slug":"learning-activity-for-partial-derivatives","status":"publish","type":"page","link":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-partial-derivatives\/","title":{"rendered":"Learning Activity for Partial Derivatives"},"content":{"rendered":"<p><a href=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-375 alignright\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-1024x1024.jpg\" alt=\"Green mountainous surface\" width=\"446\" height=\"446\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-1024x1024.jpg 1024w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-300x300.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-150x150.jpg 150w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-768x768.jpg 768w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-1536x1536.jpg 1536w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/20221116_234251-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/><\/a>This activity is designed to help students gain 3D visual intuition for the meaning of the first and second partial derivatives of a function of two variables.\u00a0 We taught students about the geometric meaning of these partials before having them complete this activity.<\/p>\n<p>View PDF for student activity:<strong> <a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-partial-derivatives\/partial_derivatives_activity-v5\/\" target=\"_blank\" rel=\"noreferrer noopener\">Partial_Derivatives_Activity-v5.pdf<\/a><\/strong><\/p>\n<p>Download Microsoft Word version: <a href=\"https:\/\/paulseeburger.sfo2.digitaloceanspaces.com\/CalcPlot3D\/activities\/Partial_Derivatives_Activity-v5.docx\"><strong>Partial_Derivatives_Activity.docx<\/strong><\/a><\/p>\n<p>View Instructor Notes: <strong><a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-partial-derivatives\/partial_derivatives_activity_instructor_notes\/\" target=\"_blank\" rel=\"noreferrer noopener\">Partial_Derivatives_Activity Instructor Notes<\/a><\/strong><\/p>\n<hr>\n<h5><strong>Files for the 3 mountainous surfaces used in this activity (and in the activity for contour plots):<\/strong><\/h5>\n<p>Click here to download the STL files for the three corresponding mountainous surfaces as a .zip file:<br>\n\u00a0 <strong><a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/mountains-separatestlfiles\/\" target=\"_blank\" rel=\"noreferrer noopener\">Download the Mountains-SeparateSTLfiles .zip file<\/a><\/strong><\/p>\n<p>Click here to download the Cura .3mf files for the three corresponding mountainous surfaces as a .zip file:<br>\n\u00a0 <strong><a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-the-shell-and-washer-methods\/mountains-3mf-curafiles\/\" target=\"_blank\" rel=\"noreferrer noopener\">Download the Mountains-3mf-CuraFiles .zip file<\/a><\/strong><\/p>\n<p><a href=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/learning-activity-for-introducing-contour-plots\/threemountains\/\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-377 alignnone\" src=\"http:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-1024x768.jpg\" alt=\"Three 3D-printed mountainous surfaces\" width=\"640\" height=\"480\" srcset=\"https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-1024x768.jpg 1024w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-300x225.jpg 300w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-768x576.jpg 768w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-1536x1152.jpg 1536w, https:\/\/sites.monroecc.edu\/multivariablecalculus\/files\/2023\/01\/ThreeMountains-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>This activity is designed to help students gain 3D visual intuition for the meaning of the first and second partial derivatives of a function of two variables.\u00a0 We taught students about the geometric meaning of these partials before having them complete this activity. View PDF for student activity: Partial_Derivatives_Activity-v5.pdf Download Microsoft Word version: Partial_Derivatives_Activity.docx View [&#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-391","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/391","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=391"}],"version-history":[{"count":21,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/391\/revisions"}],"predecessor-version":[{"id":607,"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/pages\/391\/revisions\/607"}],"wp:attachment":[{"href":"https:\/\/sites.monroecc.edu\/multivariablecalculus\/wp-json\/wp\/v2\/media?parent=391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}