{"id":331,"date":"2013-09-23T19:15:25","date_gmt":"2013-09-23T23:15:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/groisser\/?page_id=331"},"modified":"2026-03-19T08:13:10","modified_gmt":"2026-03-19T12:13:10","slug":"handouts","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/groisser\/classes\/4211_f13\/handouts\/","title":{"rendered":"Miscellaneous handouts"},"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\">Miscellaneous handouts<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">MAA 4211, Section 16G0<br>\nFall 2013<br><\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Taking notes in a college math class<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">What is a proof?<\/a>  Ignore the references to the textbook; this handout was  originally written for a linear algebra class (MAS 4105).\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\"> Mathematical grammar and correct use of terminology<\/a>. Same comment as above.\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Proof-writing quiz<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/sam\/13fall\/maa4211\"> Dr. McCullough&#8217;s notes<\/a>.  Please remember that while you&#8217;re welcome to use these excellent notes as source-material to supplement the textbook, your class notes, and my own handouts on various topics, Dr. McCullough&#8217;s notes are not an &#8220;official&#8221; set of notes for our section. There may be topics that I cover that Dr. McCullough does not, and vice-versa. On the topics that we both cover, there may be some (generally minor)<br>\ndifferences in definitions.\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Notation-difference chart <\/a>.  Notational and terminological differences among Rosenlicht, Dr. Groisser, and<br>\nDr. McCullough. (May be updated occasionally.)\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Sets and Functions<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Difference Between Inverse Functions and Inverse Images<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Equivalence Relations<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">One-to-one and onto: What you are really doing when you solve equations<\/a>. This was written for a more elementary class, but you may still find it useful.\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Interiors, Closures, and Boundaries<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\"> Continuity, Images, and Inverse Images<\/a>\n<\/li><li> The handouts in the group below have more to do with the foundations of<br>\narithmetic than with advanced calculus, but every student of<br>\nmathematics should have an idea of which properties of arithmetic can<br>\nbe proven and which need to be assumed.  \n<ul>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Peano Axioms for the Natural Numbers<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Establishing some familiar properties of the natural numbers<br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Constructing <strong>Z<\/strong> from <strong>N<\/strong><br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Constructing <strong>Q<\/strong> from <strong>Z<\/strong><br>\n<\/a> \n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/groisser\/content-removed\/\">Constructing <strong>R<\/strong> from <strong>Q<\/strong>: Dedekind-cut approach<br>\n<\/a> \n<\/li><\/ul>\n<\/li><\/ul>\n\n\n\n\n\n<p>\n<a href=\"..\/4211_f13\"> Class home page<br>\n<\/a><\/p>\n\n\n\n<p><i>Last update made by D. Groisser Mon Nov 25 22:33:10 EST 2013<\/i><\/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":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-331","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/331","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=331"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/331\/revisions"}],"predecessor-version":[{"id":5387,"href":"https:\/\/people.clas.ufl.edu\/groisser\/wp-json\/wp\/v2\/pages\/331\/revisions\/5387"}],"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=331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}