{"id":3024,"date":"2022-11-28T11:58:33","date_gmt":"2022-11-28T16:58:33","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/turull\/?page_id=3024"},"modified":"2026-03-19T08:11:05","modified_gmt":"2026-03-19T12:11:05","slug":"s23-mas4301-homework","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/turull\/s23-mas4301-homework\/","title":{"rendered":"s23-mas4301-homework"},"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<h2 class=\"wp-block-heading\">MAS 4301 Abstract Algebra 1 &#8212; Homework assignments<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Every day<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Master sections already covered in class.<\/li>\n<li>Do the homework assigned bellow.<\/li>\n<li>Read the section scheduled in the <a href=\"..\/s23-mas4301-calendar\" target=\"_top\" rel=\"noopener\">calendar<\/a> to be discussed in the following class.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Minimum Homework by Due Date<\/h3>\n\n\n\n\n\n\n\n<ul class=\"wp-block-list\"><li><strong> Due Friday January 13. <\/strong> Do the problems in <a href=\"https:\/\/people.clas.ufl.edu\/turull\/content-removed\/\"> Homework 1 <\/a>.<\/li>\n<li><strong> Due Monday January 23. <\/strong> Section 1, numbers 10, 13 and 15.<\/li>\n<li><strong> Due Wednesday January 25. <\/strong> Section 2, numbers 2, and 3. (Note: The book may be wrong when it says that some of these are binary operations.)<\/li>\n<li><strong> Due Friday January 27. <\/strong> Section 2, numbers 6, 7 and 10.<\/li>\n<li><strong> Due Monday January 30.<\/strong> Section 2, numbers 14, 16 and 18.<\/li>\n<li><strong> Due Wednesday February 1. <\/strong> Section 2, numbers 20, 24 and 26.<\/li>\n<li><strong> Due Wednesday February 1. <\/strong> Section 2, numbers 28, 30, and 31.<\/li>\n<li><strong> Due Wednesday February 9.<\/strong> 1) Let E be the set of even integers. Prove that E is a subgroup of the additive group of all integers.<br>\n2) Let O be the set of all odd integers. Prove that O is not a subgroup of the additive group of all integers.<br>\n3) Is the set of integers a subgroup of the additive group of all real numbers?<br>\n4) Is the empty set a subgroup of the additive group of all integers?<\/li>\n<li><strong> Due Friday February 11<\/strong> Section 3, numbers 10, 26 and 28.<\/li>\n<li><strong> Due Wednesday February 15. <\/strong> Section 4, numbers 1 -7 odd and 11.<\/li>\n<li><strong> Due Wednesday February 22. <\/strong> Section 5, numbers 1 \u2013 5.<\/li>\n<li><strong> Due Friday February 24. <\/strong> Section 5, numbers 6, 7, 36 and 41.<\/li>\n<li><strong> Due Friday March 3. <\/strong> Section 6, numbers 3, 6, 7, 12, 16, and 28.<\/li>\n<li><strong> Due Wednesday March 8. <\/strong> Section 7, numbers 1, 2, 3, 6, 7, 8, and 9.<\/li>\n<li><strong> Due Friday March 10. <\/strong> Section 7, numbers 19, 21, 25, and 26.<\/li>\n<li><strong> Due Monday March 20. <\/strong> Section 8, numbers 14, 16, and 18.<\/li>\n<li><strong> Due Wednesday March 22. <\/strong> Section 8, numbers 17, 19, 23, and 26.<\/li>\n<li><strong> Due Wednesday March 22. <\/strong> Section 10, numbers 2, 6, 26, and 36.<\/li>\n<li><strong> Due Friday March 24. <\/strong> Section 10, numbers 8, 22, and 25.<\/li>\n<li><strong> Due Monday March 27. <\/strong> Section 9, numbers 1, 2, 3, and 4.<\/li>\n<li><strong> Due Wednesday March 29. <\/strong> Section 9, numbers 6, 7, 10, and 25.<\/li>\n<li><strong> Due Wednesday April 5. <\/strong> Section 11, numbers 16, 30, and 32.<\/li>\n<li><strong> Due Monday April 10. <\/strong> Section 12, numbers 2, 3, 6, and 7.<\/li>\n<li><strong> Due Wednesday April 12. <\/strong> Section 12, numbers 18, 40, 46, and 47.<\/li>\n<li><strong> Due Friday April 14. <\/strong> Section 13, numbers 8, 9, 16, and 24.<\/li>\n<li><strong>Due Monday April 17. <\/strong> Section 15, numbers 15, 16, 21, 23, and 29.<\/li>\n<li><strong> Due Wednesday April 19. <\/strong> Section 14, numbers 5, 7, 8, and 10.<\/li>\n<li><strong> Due Friday April 21. <\/strong> Section 14, numbers 15, and 17.<\/li><\/ul>\n\n\n\n\n\n\n\n<h3 class=\"wp-block-heading\"><a href=\"..\/s23-mas4301-calendar\" target=\"top\" rel=\"noopener\">Return to Calendar <\/a><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><a href=\"..\/s23-mas4301-syllabus\" target=\"top\" rel=\"noopener\">Return to Syllabus<\/a><\/h3>\n\n\n\n\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":141,"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-3024","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/pages\/3024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/users\/141"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/comments?post=3024"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/pages\/3024\/revisions"}],"predecessor-version":[{"id":3864,"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/pages\/3024\/revisions\/3864"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/turull\/wp-json\/wp\/v2\/media?parent=3024"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}