{"id":2213,"date":"2024-04-26T14:00:35","date_gmt":"2024-04-26T18:00:35","guid":{"rendered":"https:\/\/brickisland.net\/DDGSpring2024\/?p=2213"},"modified":"2024-04-26T14:53:01","modified_gmt":"2024-04-26T18:53:01","slug":"assignment-6-written-vector-field-decomposition-and-design-due-5-5","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2024\/2024\/04\/26\/assignment-6-written-vector-field-decomposition-and-design-due-5-5\/","title":{"rendered":"Assignment 6 [Written]: Vector Field Decomposition and Design (Due 5\/06)"},"content":{"rendered":"<p><strong>Note:<\/strong> You <em>cannot<\/em> use late days on this assignment.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2002\" src=\"http:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-1024x825.png\" alt=\"\" width=\"385\" height=\"310\" \/><\/p>\n<p><strong>Note:<\/strong>\u00a0This last assignment serves as your \u201cfinal\u201d; we will not have any other kind of exam. Remember that you get a single \u201cfreebie\u201d assignment, so if you already completed all the regular assignments: congratulations! You\u2019re done, and can just relax during finals week (at least in this class). Or, if you\u2019d like to get some extra credit\u2014and have already completed the rest of the assignments\u2014you can complete this assignment for up to one additional assignment\u2019s worth of extra credit points.<\/p>\n<p>In this assignment, you will investigate tools for working with tangent vector fields on surfaces. Tangent vector fields are central to classical differential geometry, and have many interesting applications. For this homework, we&#8217;ll look at one algorithm for designing vector fields, and along the way we&#8217;ll cover a lot of deep facts about surfaces.<\/p>\n<p>There\u2019s no PDF this week since the exercises are all from the notes.\u00a0<em>The notes will also give you all the background you\u2019ll need to complete this assignment.<\/em>\u00a0It builds on a lot of the stuff we\u2019ve already done in the class, especially discrete exterior calculus and the Laplacian.<\/p>\n<p>Submit your written responses for Exercise 8.1 \u2013 Exercise 8.21 in the notes to Gradescope (per the usual submission instructions), except for Exercise 8.13.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Note: You cannot use late days on this assignment. Note:\u00a0This last assignment serves as your \u201cfinal\u201d; we will not have any other kind of exam. Remember that you get a single \u201cfreebie\u201d assignment, so if you already completed all the regular assignments: congratulations! You\u2019re done, and can just relax during finals week (at least in &hellip; <a href=\"https:\/\/brickisland.net\/DDGSpring2024\/2024\/04\/26\/assignment-6-written-vector-field-decomposition-and-design-due-5-5\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Assignment 6 [Written]: Vector Field Decomposition and Design (Due 5\/06)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/2213"}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/comments?post=2213"}],"version-history":[{"count":7,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/2213\/revisions"}],"predecessor-version":[{"id":2404,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/2213\/revisions\/2404"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/media?parent=2213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/categories?post=2213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/tags?post=2213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}