{"id":530,"date":"2021-04-26T10:05:17","date_gmt":"2021-04-26T16:05:17","guid":{"rendered":"http:\/\/sites.msudenver.edu\/sundbyel\/?page_id=530"},"modified":"2026-03-17T10:28:34","modified_gmt":"2026-03-17T16:28:34","slug":"mth-4410-real-analysis-i","status":"publish","type":"page","link":"https:\/\/sites.msudenver.edu\/sundbyel\/mth-4410-real-analysis-i\/","title":{"rendered":"MTH 4410 &#8211; Real Analysis I"},"content":{"rendered":"<h2><span style=\"font-family: comic sans ms, sans-serif;font-size: 18pt;color: #0000ff\">MTH 4410 &#8211; Real Analysis I<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-603 alignright\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2022\/04\/MathC2-292x300.png\" alt=\"\" width=\"231\" height=\"237\" srcset=\"https:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2022\/04\/MathC2-292x300.png 292w, https:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2022\/04\/MathC2.png 480w\" sizes=\"auto, (max-width: 231px) 100vw, 231px\" \/><\/span><\/h2>\n<p><b>Dr. Linda Sundbye<\/b><br \/>\n<b>Metropolitan State University of Denver<\/b><br \/>\n<b>Department of Mathematics and Statistics<\/b><\/p>\n<p>Last updated: <em>March 17, 2026<\/em><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-534 \" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2021\/04\/RollingHypocycloids3.gif\" alt=\"Rolling Hypcycloid\" width=\"197\" height=\"197\" \/><\/p>\n<p>&#8220;I turn away with fright and horror from the lamentable evil of functions which do not have derivatives.&#8221;<strong> Charles Hermite<\/strong> in a letter to <strong>Thomas Jan Stieltjes<\/strong>.<\/p>\n<p>&#8220;Nature laughs at the difficulties of integration.&#8221; <strong>Pierre Simon Laplace<\/strong> (1749-1827)<\/p>\n<p>&#8220;Where is it proved that one obtains the derivative of an infinite series by taking the derivative of each term?&#8221; <strong>Niels Henrik Abel<\/strong> (1802-1829)<\/p>\n<p>A challenge for many long ages<br \/>\nHad baffled the savants and sages<br \/>\nYet at last came to light:<br \/>\nSeems old Fermat was right &#8211;<br \/>\nTo the margin add 200 pages<\/p>\n<hr \/>\n<h2><span style=\"font-family: comic sans ms, sans-serif;color: #0000ff;font-size: 18pt\">Text Info:<\/span><\/h2>\n<p><b>Text:\u00a0<\/b> Bartle and Sherbert,<em> Introduction to Real Analysis, 4th ed.<\/em> Wiley (2011),<br \/>\nISBN: 978-0-471-43331-6<\/p>\n<hr \/>\n<h2><span style=\"font-family: comic sans ms, sans-serif;color: #0000ff\"><span style=\"font-size: 18pt\">Course Info:<\/span>\u00a0\u00a0 <\/span><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-536 alignright\" src=\"http:\/\/sites.msudenver.edu\/sundbyel\/wp-content\/uploads\/sites\/432\/2021\/04\/productrule-300x231.gif\" alt=\"Product Rule\" width=\"244\" height=\"188\" \/><\/h2>\n<p>Course Information<\/p>\n","protected":false},"excerpt":{"rendered":"<p>MTH 4410 &#8211; Real Analysis I Dr. Linda Sundbye Metropolitan State University of Denver Department of Mathematics and Statistics Last updated: March 17, 2026 &nbsp; &#8220;I turn away with fright and horror from the lamentable evil of functions which do not have derivatives.&#8221; Charles Hermite in a letter to Thomas Jan Stieltjes. &#8220;Nature laughs at [&hellip;]<\/p>\n","protected":false},"author":821,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-530","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages\/530","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/users\/821"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/comments?post=530"}],"version-history":[{"count":0,"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/pages\/530\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.msudenver.edu\/sundbyel\/wp-json\/wp\/v2\/media?parent=530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}