{"id":429,"date":"2017-01-29T14:07:34","date_gmt":"2017-01-29T19:07:34","guid":{"rendered":"http:\/\/sites.williams.edu\/prt2\/?page_id=429"},"modified":"2017-05-22T13:17:30","modified_gmt":"2017-05-22T17:17:30","slug":"math453sp17","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/prt2\/math453sp17\/","title":{"rendered":"Math 453 &#8211; Partial Differential Equations"},"content":{"rendered":"<p>Welcome to the magical world of PDE! This course is an introduction to PDE, with an emphasis on theory. We will start our adventure by solving four important PDE: Laplace&#8217;s equation, the Heat Equation, the Transport Equation and the Wave Equation, and deriving a couple of useful properties. Then, time-permitting,\u00a0we will cover a couple of miscellaneous PDE topics such as the method of characteristics, weak derivatives, separation of variables, and the calculus of variations.<\/p>\n<hr \/>\n<p><strong>Announcements<\/strong><\/p>\n<p>(04\/03) The take-home final is now 24h long. You may take it at any time during the final exam period.<\/p>\n<p>(02\/10) The TA Sessions will be held on Thursdays from 8 pm to 9 pm in 106 Bronfman.<\/p>\n<p>(02\/03) The first class meeting will be on Friday, February 3!<\/p>\n<p>(02\/03) Welcome to Math 453! Here is where you can find the syllabus, all the homework assignments, and info about the exams. I will also post announcements here, so make sure to regularly check out this webpage. Enjoy!<\/p>\n<hr \/>\n<p><strong>Syllabus<\/strong><\/p>\n<p>Here is the official syllabus of the course:\u00a0<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Syllabus-13.pdf\">Syllabus<\/a><\/p>\n<hr \/>\n<p><strong>Homework<\/strong><\/p>\n<p>Here you can find the homework-assignments with due dates.<\/p>\n<p><a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-1-5.pdf\">Homework 1<\/a>\u00a0(due Friday, February 10; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-1-Solutions.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-2-4.pdf\">Homework 2<\/a>\u00a0(due Monday, February 20; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-2-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-3-1.pdf\">Homework 3<\/a>\u00a0(due Friday, February 24; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-3-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-4.pdf\">Homework 4<\/a>\u00a0(due Friday, March 3; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-4-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-5.pdf\">Homework 5<\/a>\u00a0(due Friday, March 10; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-5-Solutions-2.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-6-4.pdf\">Homework 6<\/a>\u00a0(due Friday, April 7; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-6-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-7-1.pdf\">Homework 7<\/a>\u00a0(due Friday, April 14; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-7-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-8-1.pdf\">Homework 8<\/a>\u00a0(due Friday, April 21; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-8-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-9-3.pdf\">Homework 9<\/a>\u00a0(due Friday, April 28; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-9-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-10-1.pdf\">Homework 10<\/a>\u00a0(due Friday, May 5; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-10-Solutions-1.pdf\">Solutions<\/a>)<br \/>\n<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-11-2.pdf\">Homework 11<\/a>\u00a0(due Friday, May 12; <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Homework-11-Solutions-1.pdf\">Solutions<\/a>)<\/p>\n<hr \/>\n<p><strong>Exams<\/strong><\/p>\n<p>Here you can find information and study guides for the exams.<\/p>\n<p><span style=\"text-decoration: underline\">Midterm: Wednesday, March 15 &#8211; Friday, March 17 (<strong>3<\/strong>h take-home exam)<\/span><\/p>\n<p>Study Guide: <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Midterm-Study-Guide-1.pdf\">Study Guide<\/a><\/p>\n<p>Exam: <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Midterm.pdf\">Midterm<\/a>\u00a0(<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Midterm-Solutions.pdf\">Solutions<\/a>)<\/p>\n<p><span style=\"text-decoration: underline\">Final Exam: Saturday, May 13 &#8211; Sunday, May 21 (<strong>24<\/strong>h take-home exam)<\/span><\/p>\n<p>Study Guide: <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Final-Exam-Study-Guide-1.pdf\">Study Guide<\/a><\/p>\n<p>Exam: <a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Final-Exam-3.pdf\">Final Exam<\/a>\u00a0(<a href=\"https:\/\/sites.williams.edu\/prt2\/files\/2017\/01\/Final-Exam-Solutions-2.pdf\">Solutions<\/a>)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Welcome to the magical world of PDE! This course is an introduction to PDE, with an emphasis on theory. We will start our adventure by solving four important PDE: Laplace&#8217;s equation, the Heat Equation, the Transport Equation and the Wave &hellip; <a href=\"https:\/\/sites.williams.edu\/prt2\/math453sp17\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1311,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-429","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/pages\/429","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/users\/1311"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/comments?post=429"}],"version-history":[{"count":50,"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/pages\/429\/revisions"}],"predecessor-version":[{"id":671,"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/pages\/429\/revisions\/671"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/prt2\/wp-json\/wp\/v2\/media?parent=429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}