{"id":2317,"date":"2016-12-31T11:43:45","date_gmt":"2016-12-31T16:43:45","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/fgarvan\/?page_id=2317"},"modified":"2026-03-19T08:11:16","modified_gmt":"2026-03-19T12:11:16","slug":"numtheory-spring-2017","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/","title":{"rendered":"MAS 4203 &#8211; INTRO NUMBER THEORY &#8211; SPRING 2017"},"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\">MAS 4203 &#8211; INTRO NUMBER THEORY &#8211; SPRING 2017<\/h1>\n\n\n\n<p><!--more--><br>\nSpring 2017 Section 8430<\/p>\n\n\n\n<table border=\"0\" cellspacing=\"0\" cellpadding=\"2\">\n<tbody>\n<tr>fx\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>ANNOUNCEMENTS<br>\nWEEK 16<br>\n<ul> \n<li>Tue Apr 25:  Extra credit homework due\n<\/li><\/ul>\n<p>WEEK 15<br>\n<\/p><ul> \n<li>Wed Apr 19:  FINAL EXAM PART 2\n<\/li><li>Mon Apr 17:  FINAL EXAM PART 1\n<\/li><\/ul>\n<p>WEEK 14<br>\n<\/p><ul>\n<li>Fri Apr 14:\n<\/li><li>Wed Apr 12:\n<\/li><li>Mon Apr 10: Homework 5 is due by 5PM\n<\/li><\/ul>\n<p>WEEK 13<br>\n<\/p><ul>\n<li>Fri Apr 7:\n<\/li><li>Wed Apr 5:\n<\/li><li>Mon Apr 3: Homework 4 is due by 5PM\n<\/li><\/ul>\n<p>WEEK 12<br>\n<\/p><ul>\n<li>Fri Mar 31:\n<\/li><li>Wed Mar 29:\n<\/li><li>Mon Mar 27:\n<\/li><\/ul>\n<p>WEEK 11<br>\n<\/p><ul>\n<li>Fri Mar 24:\n<\/li><li>Wed Mar 22:\n<\/li><li>Mon Mar 20:\n<\/li><\/ul>\n<p>WEEK 10<br>\n<\/p><ul>\n<li>Fri Mar 17: Exam 2\n<\/li><li>Wed Mar 15:\n<\/li><li>Mon Mar 13:\n<\/li><\/ul>\n<p><strong>SPRING BREAK &#8211; Sat Mar 5 &#8211; Sun Mar 12<\/strong><\/p><!--PARAGRAPH_SEPARATOR--><p>WEEK 9<br>\n<\/p><ul>\n<li>Fri Mar 3: <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">Homework 3<\/a> due.\n<\/li><li>Wed Mar 1:\n<\/li><li>Mon Feb 27:\n<\/li><\/ul>\n<p>WEEK 8<br>\n<\/p><ul>\n<li>Fri Feb 24: <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">Homework 2<\/a> due.\n<\/li><li>Wed Feb 22:\n<\/li><li>Mon Feb 20:  Quiz on Section 2.3.\n<\/li><\/ul>\n<p>WEEK 7<br>\n<\/p><ul>\n<li>Fri Feb 17:\n<\/li><li>Wed Feb 15:\n<\/li><li>Mon Feb 13:  Quiz on Section 2.2.\n<\/li><\/ul>\n<p>WEEK 6<br>\n<\/p><ul>\n<li>Fri Feb 10:\n<\/li><li>Wed Feb 8:  Exam 1 returned. Finished Section 2.2 and started Section 2.3.\n<\/li><li>Mon Feb 6:  Proved main theorem of Section 2.2.\n<\/li><\/ul>\n<p>WEEK 5<br>\n<\/p><ul>\n<li>Fri Feb 3:  Exam 1\n<\/li><li>Wed Feb 1:\n<\/li><li>Tue Jan 31: <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">QUIZ 2<\/a> due at LIT 408 by 4PM.\n<\/li><li>Mon Jan 30: Quiz 2 (group quiz, part in class part take home)\n<\/li><\/ul>\n<p>WEEK 4<br>\n<\/p><ul>\n<li>Fri Jan 27:\n<\/li><li>Wed Jan 25: Homework 1 due.\n<\/li><li>Mon Jan 23:\n<\/li><\/ul>\n<p>WEEK 3<\/p>\n<ul>\n<li>Fri Jan 20: Start Section 1.5.\n<\/li><li>Wed Jan 18: Quiz 1 returned. Finished Section 1.4.\n<\/li><li>Mon Jan 16: MLK Holiday\n<\/li><\/ul>\n<p>WEEK 2<\/p>\n<ul>\n<li>Fri Jan 13: Quiz 1\n<\/li><li>Wed Jan 11: Bring at least pp.14-20 of online Chapter 1 notes to class.\n<\/li><li>Mon Jan 9: Covered up to Mersenne primes.\n<\/li><\/ul>\n<p>WEEK 1<\/p>\n<ul>\n<li>Fri Jan 6: Dr Keating will continue with Chapter 1. Dr Garvan will return on Monday.\n<\/li><li>Wed Jan 4: First day of class. Dr Keating will teach the class in WEEK 1.<br>\nPlease bring pp.1-8 of <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">Chapter 1 NOTES<\/a> to class.\n<\/li><\/ul>\n<\/td><\/tr><\/tbody>\n<\/table>\n<hr>\n<hr>\n<\/td>\n<td align=\"left\" valign=\"top\">\n<ul>\n<li><a title=\"MAS 4203 syllabus\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/syllabus\/\" target=\"_blank\">SYLLABUS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/homework\/\" target=\"_blank\">HOMEWORK<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/nt-notes\">NOTES<\/a><\/li>\n<li><a href=\"http:\/\/qseries.org\/fgarvan\/numthy\/algorithms.html\">ALGS<\/a>\n<\/li><li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/NUMTHEORY\/old-exams\/\" target=\"_blank\">OLD EXAMS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/sughw\/\" target=\"_blank\">SUGGESTED HOMEWORK<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/quizzes\">QUIZZES<\/a>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/numtheory-spring-2017\/exams\">EXAMS<\/a>\n<\/li><\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<p>LINKS:<br>\n<\/p>\n\n\n\n<ul class=\"wp-block-list\"><br>\n<li><a href=\"https:\/\/moam.info\/ten-tips-for-writing-mathematical-proofs-katharine-ott-1-determine-_599ef8a61723dd0e40b19f4b.html\">Ten Tips for Writning Mathematical Proofs by Katherine Ott<\/a><br>\n<\/li><li><a href=\"http:\/\/primes.utm.edu\/\">The Prime Pages<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">TABLE OF PRIMES<\/a><br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/RSA_%28cryptosystem%29\">RSA<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">RSA EXAMPLE<\/a> (using SAGE)<br>\nAlso see <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/files\/rsa-sagews-screenshot.jpg\">Screenshot of SAGE Session<\/a> and<br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/sage\">Instructions on using SAGE<\/a><br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Miller%E2%80%93Rabin_primality_test\">The Miller-Rabin Primality Test<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">MILLER-RABIN EXAMPLE<\/a> (using SAGE)<br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/AKS_primality_test\">The AKS Primality Test<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">AMS ARTICLE ON AKS<\/a><br>\n<\/li><\/ul>\n\n\n\n<p>\nREAD MORE ABOUT YITANG ZHANG<br>\n<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/www.newyorker.com\/magazine\/2015\/02\/02\/pursuit-beauty\">The New Yorker<\/a>\n<\/li><li><a href=\"https:\/\/www.quantamagazine.org\/20150402-prime-proof-zhang-interview\/\">QUANTA<\/a>\n<\/li><li><a href=\"https:\/\/www.ias.edu\/ias-letter\/zhang-breakthrough\">IAS<\/a>\n<\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=88Q2v6FTSBI\">MSRI<\/a><br>\n<\/li><\/ul>\n\n\n\n<p>\nPERSONALITIES:<br>\n<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Al-Haytham.html\">AL-HAYTHAM<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Dirichlet.html\">DIRICHLET<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Euclid.html\">EUCLID<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Fermat.html\">FERMAT<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Gauss.html\">GAUSS<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Legendre.html\">LEGENDRE<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Mersenne.html\">MERSENNE<\/a><br>\n<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Euler.html\">EULER<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/files\/rsa-photo.jpeg\">RIVET-SHAMIR-ADLEMAN<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/agrawal-kayal-saxena\/\">AGRAWAL-KAYAL-SAXENA<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/selfridge-pomerance-wagstaff\">SELFRIDGE-POMERANCE-WAGSTAFF<\/a><\/p>\n\n\n\n<table width=\"95%\" border=\"0\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>\nLast update made Sun, Feb 26, 2017  9:34:11 PM\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":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-2317","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/2317","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=2317"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/2317\/revisions"}],"predecessor-version":[{"id":3553,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/2317\/revisions\/3553"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/media?parent=2317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}