{"id":156,"date":"2013-08-12T05:28:06","date_gmt":"2013-08-12T09:28:06","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/fgarvan\/?page_id=156"},"modified":"2026-03-19T08:11:17","modified_gmt":"2026-03-19T12:11:17","slug":"maa4103","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/maa4103\/","title":{"rendered":"MAA 4103 &#8211; Advanced Calculus 2"},"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\">MAA 4103 &#8211; Advanced Calculus 2<\/h1>\n\n\n\n<p>Spring 2014 Section 2363<\/p>\n\n\n\n<table border=\"0\" cellspacing=\"0\" cellpadding=\"2\">\n<tbody>\n<tr>\n<td valign=\"top\" bgcolor=\"#99ccff\"><\/td>\n<td rowspan=\"2\" align=\"left\" valign=\"top\" width=\"600\">\n<table width=\"95%\" border=\"0\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>Current Announcements\n<ul>\n<li>Mon Apr 14: Started the section on Power Series.\n<\/li><li>Fri Apr 11: Class cancelled.\n<\/li><li>Wed Apr 9: Integration and differentiation of uniformly convergent series.\n<\/li><li>Mon Apr 7: Homework 11 is due.\n<\/li><li>Fri Apr 4: Proved two theorems on uniform convergence, integration and differentiation. Started the Section on Pointwise and Uniform Convergence of series.\n<\/li><li>Wed Apr 2: Sup Norm Theorem and Interchanging Limits\n<\/li><li>Mon Mar 31: The sup norm and uniform convergence.\n<\/li><\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<td align=\"left\" valign=\"top\">\n<ul>\n<li><a title=\"MAA 4103\/5105 syllabus\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/maa4103\/syllabus\/\" target=\"_blank\">SYLLABUS<\/a><\/li>\n<li><a title=\"MAA 4103\/5105 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/maa4103\/homework\/\" target=\"_blank\">HOMEWORK<\/a><\/li>\n<li><a title=\"MAA 4103\/5105 notes\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\" target=\"_blank\">NOTES 03.16<\/a><\/li>\n<li><a title=\"MAA 4103\/5105 notes\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\" target=\"_blank\">CHAPTER 8 NOTES<\/a><\/li>\n<li><a title=\"MAA 4103\/5105 review\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/maa4103\/review\/\" target=\"_blank\">REVIEW<\/a><\/li>\n<li><a href=\"http:\/\/qseries.org\/fgarvan\/introadvcalcII\/animations\/\">ANIMATIONS<\/a>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/maa4103\/maa-4103-5105-exam-solutions\/\">EXAM SOLNS<\/a>\n<\/li><\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<p>Old News<\/p>\n\n\n\n<table width=\"95%\" border=\"0\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>\n<ul>\n<li>Mon Mar 24: Completed Section on Absolute and Conditional Convergence. We started work on Homework 10.\n<\/li><li>Fri Mar 21: Exam 2 covers Chapter 6 and 7.\n<\/li><li>Wed Mar 19: Review for Exam 2. Also tonight at 8pm (meet at LIT 408)\n<\/li><li>Mon Mar 17: Finished ration test and did examples.\n<\/li><li>Fri Mar 14: First draft of Homework 9 due. Completed root test and did an example.\n<\/li><li>Wed Mar 12: Final Homework 8 due.\n<\/li><li>Mon Mar 10: Discussed Homework 8. Almost finished Proposition 7.3.\n<\/li><li>Fri Feb 28: Homework 8 due.\n<\/li><li>Wed Feb 26: Final Homework 7 due.\n<\/li><li>Mon Feb 24: Homework 7 returned and Final Homework 6 collected. Finished properties of exp and a<sup>x<\/sup>. Proved the First Fundamental Theorem of Calculus.\n<\/li><li>Fri Feb 21: First draft of Homework 7 due. Homework 6 returned with hints given. Finished properties of log and began properties of exp.\n<\/li><li>Wed Feb 19: Proved Second Fundamental Theorem of Calculus and started Properties of the LOG Function.\n<\/li><li>Mon Feb 17: First draft of Homework 6 due.\n<\/li><li>Fri Feb 14: Exam 1 returned.<br>\nSee <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">SOLUTION<\/a>. Covered up to Corollary 6.16. Started discussion of Proposition 6.17. Online NOTES updated.\n<\/li><li>Wed Feb 12: Class cancelled.\n<\/li><li>Mon Feb 10: Up to Theorem 6.11\n<\/li><li>Fri Feb 7: Exam 1.\n<\/li><li>Fri Jan 31: Updated online notes to include Chapter 6. Review upper and lower bounds and sup and inf. In the online notes we got up to Example 6.4. Homework 5 is due Monday.\n<\/li><li>Wed Jan 29: Finished Chapter 5 and started Chapter 6 &#8211; The Riemann Integral.\n<\/li><li>Mon Jan 27: Homework 3 (draft) returned and Homework 2 (final) collected. Discussed Homework 3. Homework 4 was assigned and is due Wednesday. We finished the proof of Taylor&#8217;s Theorem and began the proof of L&#8217;Hopital&#8217;s Rule.\n<\/li><li>Fri Jan 24: Homework 3 was collected. Homework 2 (draft) was returned. We went over Induction Proofs and the idea for Problem 2 in Homework 2. We finished the proof of &#8230; and &#8230;\n<\/li><li>Wed Jan 22: We started Section 5.4 (online notes) and go up to Corollary 5.18. Homework 1 and<br>\nHomework 2 (draft) were collected. Homework 3 was assigned.\n<\/li><li>Jan 17: Discussed Homework 1. Proved the Inverse Function Theorem and did an Example. Assigned Homework 2 due next Wednesday.\n<\/li><li>Jan 15: Covered Section 4.6 on Inverse Functions. Started discussion of the Inverse Function Theorem. Students handed in Homework 1.<\/li>\n<li>Jan 13: Dr.G. has returned. Went over syllabus etc. Did the proof of Theorem 5.9.<\/li>\n<li>Jan 6 &#8211; 10: Dr. McCullough taught the class and covered Sections 4.7 and 4.8 and Sections 5.1 and 5.2 up to Theorem 5.9<\/li>\n<li>Monday 6 January. Start of Spring classes. See you then.<\/li>\n<li>Research and scholarship <a href=\"http:\/\/www.pathwaystoscience.org\/Undergrads.asp\"> opportunities <\/a> for undergraduates.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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":140,"featured_media":0,"parent":151,"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-156","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/156","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/users\/140"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/comments?post=156"}],"version-history":[{"count":9,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/156\/revisions"}],"predecessor-version":[{"id":3607,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/156\/revisions\/3607"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/151"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/media?parent=156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}