{"id":103,"date":"2025-07-06T20:11:16","date_gmt":"2025-07-06T20:11:16","guid":{"rendered":"https:\/\/courses.lsa.umich.edu\/krasny\/?page_id=103"},"modified":"2025-07-13T22:41:34","modified_gmt":"2025-07-13T22:41:34","slug":"math-471","status":"publish","type":"page","link":"https:\/\/courses.lsa.umich.edu\/krasny\/math-471\/","title":{"rendered":"Math 471"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong>Math 471, Fall 2009, Numerical Methods, Section 002<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Instructor: Robert Krasny, 4830 East Hall, (734)-763-3505, krasny@umich.edu<br>Time\/Location: MWF 2-3pm, 1084 East Hall<br><a href=\"https:\/\/dept.math.lsa.umich.edu\/~krasny\/math471_description.pdf\">course description<\/a><\/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\/math471_hw1.pdf\">hw1<\/a>\u00a0due: Mon Sept 21<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw2.pdf\">hw2<\/a>\u00a0due: Mon Oct 5<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw3.pdf\">hw3<\/a>\u00a0due: Wed Oct 21<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw4.pdf\">hw4<\/a>\u00a0due: Fri Oct 30 (computing project 1 due: Mon Nov 9)<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw5.pdf\">hw5<\/a>\u00a0due: Fri Nov 13<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw6.pdf\">hw6<\/a>\u00a0due: Wed Nov 25 (computing project 2 due: Wed Nov 25)<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw7.pdf\">hw7<\/a>\u00a0due: Mon Dec 7<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_hw8.pdf\">hw8<\/a>\u00a0due: Mon Dec 14<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h4 class=\"wp-block-heading\">Lecture Notes<\/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\/math471_chapter_1.pdf\">chapter 1<\/a>\u00a0finite precision arithmetic<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_chapter_2.pdf\">chapter 2<\/a>\u00a0rootfinding<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_chapter_3.pdf\">chapter 3<\/a>\u00a0numerical linear algebra, boundary value problems<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_chapter_4.pdf\">chapter 4<\/a>\u00a0computing eigenvalues<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_chapter_5.pdf\">chapter 5<\/a>\u00a0polynomial approximation and interpolation<br><a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_chapter_6.pdf\">chapter 6<\/a>\u00a0numerical integration<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h4 class=\"wp-block-heading\">Exam Review Sheets<\/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\/math471_exam_midterm_review_sheet.pdf\">midterm exam<\/a> <a href=\"https:\/\/courses.lsa.umich.edu\/krasny\/wp-content\/uploads\/sites\/202\/2025\/07\/math471_exam_final_review_sheet.pdf\">final exam<\/a><\/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\/matlab.pdf\">notes on using MATLAB<\/a><br><a href=\"http:\/\/www.mathworks.com\/academia\/student_center\/tutorials\/launchpad.html\">Matlab resources for students<\/a><br><a href=\"http:\/\/www.mathworks.com\/company\/newsletters\/articles\/the-origins-of-matlab.html\">The Origins of Matlab<\/a>, by Cleve Moler, December 2004<\/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\/lax_interview.pdf\">Interview with Peter Lax<\/a>, AMS Notices, February 2006, &#8220;&#8230; the astonishing phenomenon of the interaction of solitons was discovered by numerical calculations &#8230;&#8221;<br><a href=\"http:\/\/tonic.physics.sunysb.edu\/docs\/num_meth.html\">Numerical Methods Resource Page<\/a><br><a href=\"http:\/\/www.ima.umn.edu\/~arnold\/disasters\/disasters.html\">Disasters Attributable to Bad Computing<\/a>, by Doug Arnold<br><a href=\"http:\/\/www5.in.tum.de\/~huckle\/bugse.html\">Collection of Software Bugs<\/a>, by Thomas Huckle<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"wp-block-paragraph\">Student Data Form&nbsp;<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><\/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:\/\/sites.lsa.umich.edu\/krasny\/links\/fellowships\/\">Fellowships, Graduate Study, Internships<\/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 471, Fall 2009, Numerical Methods, Section 002 Instructor: Robert Krasny, 4830 East Hall, (734)-763-3505, krasny@umich.eduTime\/Location: MWF 2-3pm, 1084 East Hallcourse description Homework hw1\u00a0due: Mon Sept 21hw2\u00a0due: Mon Oct 5hw3\u00a0due: Wed Oct 21hw4\u00a0due: Fri Oct 30 (computing project 1 due: Mon Nov 9)hw5\u00a0due: Fri Nov 13hw6\u00a0due: Wed Nov 25 (computing project 2 due: Wed Nov&hellip; <a class=\"more-link\" href=\"https:\/\/courses.lsa.umich.edu\/krasny\/math-471\/\">Continue reading <span class=\"screen-reader-text\">Math 471<\/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-103","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/103","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=103"}],"version-history":[{"count":4,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/103\/revisions"}],"predecessor-version":[{"id":161,"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/pages\/103\/revisions\/161"}],"wp:attachment":[{"href":"https:\/\/courses.lsa.umich.edu\/krasny\/wp-json\/wp\/v2\/media?parent=103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}