{"id":1675,"date":"2013-12-01T22:49:55","date_gmt":"2013-12-02T03:49:55","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/groisser\/?page_id=1675"},"modified":"2026-03-19T08:13:08","modified_gmt":"2026-03-19T12:13:08","slug":"hw6","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/groisser\/classes\/4211_f13\/hw6\/","title":{"rendered":"MAA 4211 Assignment 6"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<p><i>Last update made by D. Groisser Fri Nov 1 18:44:02 EDT 2013<\/i><\/p>\n\n\n\n\n\n\n\n\n\n\n\n<p>    You are required to do <strong> all <\/strong> of the problems below.  You<br>\nwill not be required to hand them all in. I&#8217;ve indicated<br>\nwhich ones you do have to hand in.<\/p>\n\n\n\n\n\n<p>  Don&#8217;t make the mistake of thinking that I&#8217;m collecting only the<br>\nproblems I think are important.<\/p>\n\n\n\n\n\n<p>The &#8220;due date&#8221; above is the date that your written-up problems<br>\nshould be handed in, but don&#8217;t wait to get started on the assignment.<br>\nYou should always get started on problems as soon as we cover the<br>\nrelevant material in class. <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li> <strong>A:<\/strong> Rosenlicht pp. 61\u201363\/ 24, 26 (prove your answer), 28, 32. <strong> Of<br>\n  these, hand in only 26, 28, and 32<\/strong>. Note that #24 is, more or less,<br>\na <i>converse<\/i> of something we proved in class, the last Proposition on p. 52.<br>\n(It is not <i>exactly<\/i> the converse because the ambient metric space is<br>\n  assumed complete in the proposition on p. 52, but not in problem 24.)<!--PARAGRAPH_SEPARATOR--><\/li><li><strong>B:<\/strong> Click here for <a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\"> non-book problems<\/a>. <strong>  Of these, hand in only B1cd, B2bc, and B3.<\/strong><br>\nIn your write-ups, you may assume the results of B1b and B2a. \n<\/li><\/ul>\n\n\n\n<p><a href=\"..\/\"> Back to class home page <\/a><\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":245,"featured_media":0,"parent":241,"menu_order":12,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1675","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/1675","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/users\/245"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/comments?post=1675"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/1675\/revisions"}],"predecessor-version":[{"id":5309,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/1675\/revisions\/5309"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/241"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/media?parent=1675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}