{"id":148,"date":"2025-07-13T22:39:18","date_gmt":"2025-07-13T22:39:18","guid":{"rendered":"https:\/\/courses.lsa.umich.edu\/krasny\/?page_id=148"},"modified":"2025-07-13T22:40:02","modified_gmt":"2025-07-13T22:40:02","slug":"math-558","status":"publish","type":"page","link":"https:\/\/courses.lsa.umich.edu\/krasny\/math-558\/","title":{"rendered":"Math 558"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Math 558 &#8211; Applied Dynamical Systems &#8211; Winter 2023<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Instructor: Robert Krasny, 4830 East Hall, 763-3505, krasny@umich.edu<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time and Location: MW 11:30am-1pm, 4088 East Hall<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_information.pdf\">information<\/a>,&nbsp;<a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_notes.pdf\">lecture notes<\/a><br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_instability_of_an_axisymmetric_jet.pdf\">instability of an axisymmetric jet<\/a>, &#8220;An Album Of Fluid Motion&#8221;, by Milton Van Dyke<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h4 class=\"wp-block-heading\">Homework<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw1.pdf\">hw1<\/a>&nbsp;due: Mon Jan 30<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw2.pdf\">hw2<\/a>&nbsp;due: Thurs Feb 16<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw3.pdf\">hw3<\/a>&nbsp;due: Thurs March 9<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw4.pdf\">hw4<\/a>&nbsp;due: Thurs March 23<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw5.pdf\">hw5<\/a>&nbsp;due: Thurs April 6<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math558_hw6.pdf\">hw6<\/a>&nbsp;due: Thurs April 20<\/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<h4 class=\"wp-block-heading\">Links<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.lsa.umich.edu\/krasny\/links\/fellowships\/\">Fellowships, Workshops, etc. for students and postdocs<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Math 558 &#8211; Applied Dynamical Systems &#8211; Winter 2023 Instructor: Robert Krasny, 4830 East Hall, 763-3505, krasny@umich.edu Time and Location: MW 11:30am-1pm, 4088 East Hall information,&nbsp;lecture notesinstability of an axisymmetric jet, &#8220;An Album Of Fluid Motion&#8221;, by Milton Van Dyke Homework hw1&nbsp;due: Mon Jan 30hw2&nbsp;due: Thurs Feb 16hw3&nbsp;due: Thurs March 9hw4&nbsp;due: Thurs March 23hw5&nbsp;due: Thurs&hellip; <a class=\"more-link\" href=\"https:\/\/courses.lsa.umich.edu\/krasny\/math-558\/\">Continue reading <span class=\"screen-reader-text\">Math 558<\/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-148","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/148","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=148"}],"version-history":[{"count":2,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/148\/revisions"}],"predecessor-version":[{"id":159,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/148\/revisions\/159"}],"wp:attachment":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/media?parent=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}