{"id":443,"date":"2017-08-08T11:00:57","date_gmt":"2017-08-08T15:00:57","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/peterbubenik\/?page_id=443"},"modified":"2026-03-19T08:27:33","modified_gmt":"2026-03-19T12:27:33","slug":"mtg-4302","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/peterbubenik\/courses\/mtg-4302\/","title":{"rendered":"MTG 4302\/5316, Elements of\/ Introduction to Topology 1"},"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<h1 class=\"wp-block-heading\">MTG 4302\/5316, Elements of\/ Introduction to Topology 1<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Time and Location<\/h3>\n\n\n\n<p>M W F Period 6 (12:50-1:40pm), Little Hall room 219<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Overview<\/h3>\n\n\n\n<p>This course is an introduction to topology. Topology studies shapes and surfaces, sometimes in higher dimensions, along with the continuity properties of functions between two such shapes. We begin with set theory and foundations, and then proceed to topological spaces, metric spaces, connectedness, compactness, countability and separation ax- ioms, completeness, and function spaces.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Prerequisites<\/h3>\n\n\n\n<p>MAS 4105 (Linear Algebra 1) with a minimum grade of C, or permission from instructor depending on mathematical experience.<\/p>\n\n\n\n\n\n<p>Please contact me if you have any questions and\/or requests!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Textbook<\/h3>\n\n\n\n<p>Topology, second edition, by James R Munkres.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><a href=\"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/\">Syllabus<\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Notes<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/\">Chapter 1<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/\">Chapter 2<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/\">Chapter 3<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/\">Chapter 4<\/a><\/li><\/ul>\n\n\n\n\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":516,"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-443","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/users\/516"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/comments?post=443"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/443\/revisions"}],"predecessor-version":[{"id":1359,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/443\/revisions\/1359"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/8"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/media?parent=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}