{"id":737,"date":"2016-08-19T12:09:20","date_gmt":"2016-08-19T16:09:20","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/dranish\/?page_id=737"},"modified":"2026-04-24T16:36:54","modified_gmt":"2026-04-24T20:36:54","slug":"course-1","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/dranish\/courses\/course-1\/","title":{"rendered":"MTG4303\/MTG5317  Elements\/Intro Topology 2"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h1 class=\"wp-block-heading\">MTG4303\/MTG5317  Elements\/Intro Topology 2<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">MTG4303\/MTG5317, the Intro Topology 2&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/files\/modsyllabusMTG4303-5317.pdf\"><u>Syllabus<\/u><\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Text:<\/u><\/h3>\n\n\n\n<p><em>&#8220;Topology&#8221;&nbsp; <\/em>by James Munkres<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Schedule and Room:<\/u><\/h3>\n\n\n\n<p>MWF 6 &nbsp;&nbsp; LIT&nbsp; 221<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Grading:<\/u><\/h3>\n\n\n\n<p>20% Presentation+20% HomeworkQuizzes+20%Midterm+40%Final; A if &gt;85, B+ if &gt; 80, B if &gt; 70, C+ if &gt; 65, C if &gt; 50, D+ if &gt;40, D if &gt;30.<\/p>\n\n\n\n<p>Home-taken&nbsp;&nbsp;Final, One in class presentation, three quizzes and one in class Midterm<br>\nbased on the Homework. Home work is not graded.<\/p>\n\n\n\n<p>.Extra credit: up to 5 pts for solving a * rated problem.<\/p>\n\n\n\n<p>Attendance is strictly recommended.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Office Hours:<\/u><\/h3>\n\n\n\n<p>MW7 &nbsp; LIT 424<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Description of the Course:<\/u><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p>(Chapters 4-14, Sections 35-77)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tietze extension theorem (35)<\/li>\n\n\n\n<li>Tychonoff theorem (37)<\/li>\n\n\n\n<li>Stone\u2013Cech compactification (38)<\/li>\n\n\n\n<li>Homotopy of paths (51)<\/li>\n\n\n\n<li>The fundamental group (52)<\/li>\n\n\n\n<li>Covering spaces (53)<\/li>\n\n\n\n<li>Fundamental group of circle (54)<\/li>\n\n\n\n<li>Brouwer and Borsuk-Ulam theorems (55,57)<\/li>\n\n\n\n<li>Seifer-van Kampen theorem (67,68,70, 71,72)<\/li>\n\n\n\n<li>Classification of surfaces (74,75,76,77)<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp; <a href=\"https:\/\/people.clas.ufl.edu\/dranish\/files\/PRESENTATIONSHW.pdf\"><u>Home Work, Presentations, and Extra Credit&nbsp;<\/u><\/a><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/content-removed\/\"><u> Solutions to Quiz1<\/u><\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/content-removed\/\"><u> Solutions to Quiz2<\/u><\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/content-removed\/\"><u> Solutions to Quiz3<\/u><\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/content-removed\/\"><u> Solutions to MT<\/u><\/a><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/people.clas.ufl.edu\/dranish\/files\/FresultsMTG4303.pdf\"><u>&nbsp;Current results MTG4303\/5317<\/u><\/a><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/files\/Topology-I.pdf\"><u>FINAL&nbsp;<\/u><\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7\u00a0\u00a0<a href=\"https:\/\/people.clas.ufl.edu\/dranish\/files\/Topology-IFinSol.pdf\"><u>\u00a0Solutions to the Final\u00a0<\/u><\/a><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;<u>Announcements<\/u><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><u>Statement:<\/u><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u00b7&nbsp;&nbsp;Students&nbsp;requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.<\/h3>\n\n\n\n<p><\/p>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":314,"featured_media":0,"parent":8,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-737","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/pages\/737","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/users\/314"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/comments?post=737"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/pages\/737\/revisions"}],"predecessor-version":[{"id":2000,"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/pages\/737\/revisions\/2000"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/pages\/8"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/dranish\/wp-json\/wp\/v2\/media?parent=737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}