{"id":192,"date":"2013-11-09T16:03:57","date_gmt":"2013-11-09T21:03:57","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/maia\/?page_id=192"},"modified":"2026-03-19T08:16:31","modified_gmt":"2026-03-19T12:16:31","slug":"mad-4401-introduction-to-numerical-analysis","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/maia\/mad-4401-introduction-to-numerical-analysis\/","title":{"rendered":"MAD 4401  Introduction to Numerical Analysis"},"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\">MAD 4401  Introduction to Numerical Analysis<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Basic Information<\/h3>\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Instructor:\u00a0 <\/strong>Maia\u00a0 Martcheva<\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Office: <\/strong>469 Little Hall<\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>E-mail: <\/strong>maia@ufl.edu<\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Course Meetings:\u00a0 <\/strong>MWF\u00a0 3:00-3:50 (Period 8)\u00a0\u00a0\u00a0 Lit\u00a0 219<br>\n<\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Office Hours:\u00a0 <\/strong>W\u00a0 F\u00a0 9:35-10:25\u00a0 (Period 3)<\/span>,\u00a0\u00a0<span style=\"font-size: xx-small\"> or by appointment<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Exam Schedule:<\/h3>\n\n\n\n\n\n\n\n<ul class=\"wp-block-list\"><li><strong><span style=\"font-size: xx-small\">Midterm Exam:\u00a0 <span style=\"color: #ff0000\">March 13, 2019 (in class)<\/span><\/span><\/strong><\/li>\n<li><span style=\"font-size: xx-small\"><strong>Final Exam: <span style=\"color: #ff0000\">April\u00a0\u00a0 24, 2019 (in<\/span><\/strong><\/span><span style=\"font-size: xx-small\"><strong><span style=\"color: #ff0000\"> class)<\/span><\/strong><\/span><strong><span style=\"font-size: xx-small\"><\/span><\/strong><\/li><\/ul>\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Quizzes:\u00a0 <\/strong>Regular in-class quizzes will be given.<\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><strong>Note 1: <\/strong>You can read more details about the class from the syllabus.\u00a0 <\/span><\/p>\n\n\n\n\n\n<p><span style=\"font-size: xx-small\"><span style=\"font-weight: bold\">Note 2<\/span>: This is a class in which programming\u00a0 is expected. I prefer that you program in MATLAB.\u00a0 MATLAB code will be given in class and can be found in Canvas.<br>\n<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answers to Practice Final Exam:<\/h3>\n\n\n\n<ol class=\"wp-block-list\"><li><span style=\"font-size: xx-small\">p(x) = (x+1)^2(x-1)^2<\/span><\/li>\n<li><span style=\"font-size: xx-small\">(a) -1&lt;alpha&lt;1, (b) -2, 3\/2,\u00a0 (c) -2&lt;alpha&lt;3\/2<\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0(a) (0,pi\/2), (b) many answers possible<\/span><\/li>\n<li><span style=\"font-size: xx-small\">(a) will not converge, (b) will converge, (c) will converge<\/span><\/li>\n<li><span style=\"font-size: xx-small\">(a) l21 = 2, l31 = -1 l32 =0, u11 = 2. u12 = 3, u13 = -1, u22 = -2 , u23 = 1, u33 = 3 (b) To solve Ly=b we need 5 MD and 3 AS,\u00a0 to solve Ux=y we need 5 MD, 3 AS<\/span><\/li>\n<li><span style=\"font-size: xx-small\">p(x) = a+bx+cx^2 +dx^3,\u00a0 with\u00a0 a=0. b= 12, c= -18, d=<span style=\"font-size: xx-small\">7<\/span><\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0(a) A = -pi^3\/6, B = pi^2\/2, (b) approx -pi^3\/6<\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0(a) 2, (b) 4, (c) 3<\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0(a) n&gt;=4<\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0(a)\u00a0 L=2, (b) w0=0, w{i+1} = wi+0.25[tie^{3ti}-2wi+0.125(e^{3ti}+tie^{3ti}+4wi)]<\/span><\/li>\n<li><span style=\"font-size: xx-small\">\u00a0a=2\/5,\u00a0 b=4\/5<\/span><\/li>\n<li><span style=\"font-size: xx-small\"> (a) proof, (b) O(0.25^n), (c) n&gt; ln pi10^2\/ln 4<\/span><\/li><\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Useful Links<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>\n<ul>\n<li><span style=\"font-size: xx-small\"><a title=\"Syllabus MAD 4401\" href=\"https:\/\/elearning.ufl.edu\/\">syllabus<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a title=\"Classnotes MAD 4401\" href=\"https:\/\/people.clas.ufl.edu\/maia\/classnotes-mad-4401\/\">classnotes<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\">past exam 1<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\">past exam 2<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\">past final exam<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a title=\"MATLAB Code MAD 4401\" href=\"https:\/\/elearning.ufl.edu\/\">MATLAB code<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\">class slides:<\/span>\n<ul>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\"><span style=\"font-size: xx-small\">Lecture2.3<\/span><\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\"><span style=\"font-size: xx-small\">Lecture2.4<\/span><\/a><\/li>\n<li><span style=\"font-size: xx-small\"><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\">Lecture3.1<\/a><\/span><\/li>\n<li><span style=\"font-size: xx-small\"><a href=\"https:\/\/people.clas.ufl.edu\/maia\/content-removed\/\">Lecture3.2<\/a><br>\n<\/span><\/li>\n<\/ul>\n<\/li><\/ul>\n<\/li><\/ul>\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":310,"featured_media":0,"parent":0,"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-192","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/pages\/192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/users\/310"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/pages\/192\/revisions"}],"predecessor-version":[{"id":1043,"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/pages\/192\/revisions\/1043"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/maia\/wp-json\/wp\/v2\/media?parent=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}