{"id":176,"date":"2025-07-13T23:14:51","date_gmt":"2025-07-13T23:14:51","guid":{"rendered":"https:\/\/courses.lsa.umich.edu\/krasny\/?page_id=176"},"modified":"2025-07-13T23:14:52","modified_gmt":"2025-07-13T23:14:52","slug":"math-654","status":"publish","type":"page","link":"https:\/\/courses.lsa.umich.edu\/krasny\/math-654\/","title":{"rendered":"Math 654"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Math 654, Introduction to Fluid Dynamics, Fall 2008<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_description.pdf\">course description<\/a><br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_notes.pdf\">lecture notes<\/a><br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_hw1.pdf\">hw1<\/a>\u00a0due: Thurs Sept 25<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_hw2.pdf\">hw2<\/a>\u00a0due: Thurs Oct 23<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_hw3.pdf\">hw3<\/a>\u00a0due: Thurs Nov 6<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_hw4.pdf\">hw4<\/a>\u00a0due: Tues Nov 25<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_hw5.pdf\">hw5<\/a>\u00a0due: Tues Dec 9<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/Fluid_Mechanics_II_PDF.pdf\">Research in Fluid Dynamics: Meeting National Needs<\/a>, NCTAM Report on Fluid Mechanics, Winter 2006<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_prandtl.pdf\">Ludwig Prandtl&#8217;s Boundary Layer<\/a>, by John D. Anderson Jr.,\u00a0<em>Physics Today<\/em>, December 2005<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math654_irwin.pdf\">Vortices and tall buildings: A recipe for resonance<\/a>, by Peter A. Irwin,\u00a0<em>Physics Today<\/em>, September 2010\u00a0<a href=\"http:\/\/ptonline.aip.org\/journals\/doc\/PHTOAD-ft\/vol_63\/iss_9\/68_1s.shtml#video\">(simulation)<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"wp-block-paragraph\">Notes on using MATLAB\u00a0<a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/matlab.pdf\">[pdf]<\/a><br>Student Data Form\u00a0<a href=\"http:\/\/instruct.math.lsa.umich.edu\/stu-info\/\">Form<\/a><a href=\"http:\/\/instruct.math.lsa.umich.edu\/stu-info\/faq.html\">FAQ<\/a><br><a href=\"https:\/\/sites.lsa.umich.edu\/krasny\/links\/fellowships\/\">Fellowships, Internships, Workshops<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"wp-block-paragraph\">&#8220;You need the willingness to fail all the time. You have to generate many ideas and then you have to work very hard only to discover that they don&#8217;t work. And you keep doing that over and over until you find one that does work.&#8221; &#8211;&nbsp;<a href=\"http:\/\/en.wikipedia.org\/wiki\/John_Backus\">John Backus<\/a>, lead developer of Fortran<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"wp-block-paragraph\">SIAM has a webpage for students;&nbsp;<a href=\"http:\/\/www.siam.org\/students\/\">check it out<\/a>, and don&#8217;t miss the link to&nbsp;<a href=\"http:\/\/www.siam.org\/membership\/individual\/free.php\">free student memberships<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math 654, Introduction to Fluid Dynamics, Fall 2008 course descriptionlecture noteshw1\u00a0due: Thurs Sept 25hw2\u00a0due: Thurs Oct 23hw3\u00a0due: Thurs Nov 6hw4\u00a0due: Tues Nov 25hw5\u00a0due: Tues Dec 9 Research in Fluid Dynamics: Meeting National Needs, NCTAM Report on Fluid Mechanics, Winter 2006Ludwig Prandtl&#8217;s Boundary Layer, by John D. Anderson Jr.,\u00a0Physics Today, December 2005Vortices and tall buildings: A&hellip; <a class=\"more-link\" href=\"https:\/\/courses.lsa.umich.edu\/krasny\/math-654\/\">Continue reading <span class=\"screen-reader-text\">Math 654<\/span><\/a><\/p>\n","protected":false},"author":4973,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"tw-no-title.php","meta":{"footnotes":""},"class_list":["post-176","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/users\/4973"}],"replies":[{"embeddable":true,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/comments?post=176"}],"version-history":[{"count":1,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/176\/revisions"}],"predecessor-version":[{"id":187,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/176\/revisions\/187"}],"wp:attachment":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/media?parent=176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}