{"id":45,"date":"2024-10-13T18:46:25","date_gmt":"2024-10-13T10:46:25","guid":{"rendered":"https:\/\/www.toothlessos.xyz\/?p=45"},"modified":"2024-10-13T18:48:16","modified_gmt":"2024-10-13T10:48:16","slug":"multi-variable-calculus-cheat-sheet","status":"publish","type":"post","link":"https:\/\/www.toothlessos.xyz\/index.php\/2024\/10\/13\/multi-variable-calculus-cheat-sheet\/","title":{"rendered":"Multi-variable Calculus cheat sheet"},"content":{"rendered":"\n<p>Multi-variable calculus is a complex course: it may not be too hard in terms of understanding, but it includes so many topics &#8211; which always give me a terrible headache.<\/p>\n\n\n\n<p>The following is the cheat sheet that I create for myself for revision purposes. It includes the most important concepts and takeaways over the whole course, serving as a great memory refresher. I hope it will also be helpful for your studies (and of course the best wishes for your exam!)<\/p>\n\n\n\n<p>(P.S I use James Stewart&#8217;s textbook for my course)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"699\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-699x1024.jpg\" alt=\"\" class=\"wp-image-47\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-699x1024.jpg 699w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-205x300.jpg 205w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-768x1126.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-1048x1536.jpg 1048w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1-1397x2048.jpg 1397w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_1.jpg 1692w\" sizes=\"auto, (max-width: 699px) 100vw, 699px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"736\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-736x1024.jpg\" alt=\"\" class=\"wp-image-48\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-736x1024.jpg 736w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-216x300.jpg 216w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-768x1069.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-1104x1536.jpg 1104w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2-1472x2048.jpg 1472w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_2.jpg 1736w\" sizes=\"auto, (max-width: 736px) 100vw, 736px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"725\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-725x1024.jpg\" alt=\"\" class=\"wp-image-49\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-725x1024.jpg 725w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-212x300.jpg 212w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-768x1085.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-1087x1536.jpg 1087w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3-1449x2048.jpg 1449w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_3.jpg 1724w\" sizes=\"auto, (max-width: 725px) 100vw, 725px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"719\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-719x1024.jpg\" alt=\"\" class=\"wp-image-50\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-719x1024.jpg 719w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-211x300.jpg 211w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-768x1094.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-1078x1536.jpg 1078w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4-1438x2048.jpg 1438w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_4.jpg 1716w\" sizes=\"auto, (max-width: 719px) 100vw, 719px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"729\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-729x1024.jpg\" alt=\"\" class=\"wp-image-51\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-729x1024.jpg 729w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-214x300.jpg 214w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-768x1079.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-1093x1536.jpg 1093w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5-1458x2048.jpg 1458w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_5.jpg 1728w\" sizes=\"auto, (max-width: 729px) 100vw, 729px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"725\" height=\"1024\" src=\"http:\/\/38.246.252.17:8080\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-725x1024.jpg\" alt=\"\" class=\"wp-image-52\" srcset=\"https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-725x1024.jpg 725w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-212x300.jpg 212w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-768x1085.jpg 768w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-1087x1536.jpg 1087w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6-1449x2048.jpg 1449w, https:\/\/www.toothlessos.xyz\/wp-content\/uploads\/2024\/10\/MATH201-2024-10-13-18.23_6.jpg 1724w\" sizes=\"auto, (max-width: 725px) 100vw, 725px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Multi-variable calculus is a complex course: it may not [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[8,7,9],"class_list":["post-45","post","type-post","status-publish","format-standard","hentry","category-math","tag-math201","tag-multivariable-calculus","tag-review"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/posts\/45","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/comments?post=45"}],"version-history":[{"count":4,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/posts\/45\/revisions"}],"predecessor-version":[{"id":55,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/posts\/45\/revisions\/55"}],"wp:attachment":[{"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/media?parent=45"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/categories?post=45"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.toothlessos.xyz\/index.php\/wp-json\/wp\/v2\/tags?post=45"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}