{"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 class=\"wp-block-paragraph\">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 class=\"wp-block-paragraph\">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 class=\"wp-block-paragraph\">(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, 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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, 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