{"id":1292,"date":"2024-07-16T20:14:44","date_gmt":"2024-07-17T00:14:44","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/sin\/?page_id=1292"},"modified":"2026-03-19T08:10:55","modified_gmt":"2026-03-19T12:10:55","slug":"abstract-algebra-mas430109b1","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/sin\/courses\/abstract-algebra-mas430109b1\/","title":{"rendered":"Abstract Algebra 1 MAS4301\/09B1\/14244 Fall 2024"},"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\">Abstract Algebra 1 MAS4301\/09B1\/14244 Fall 2024<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Instructor<\/h3>\n\n\n\n<p><a title=\"Dr Sin's home page\" href=\"https:\/\/people.clas.ufl.edu\/sin\/\" target=\"_blank\" rel=\"noopener\">Prof.\u00a0 Peter\u00a0 Sin\u00a0 <\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Time and Location<\/h3>\n\n\n\n<p>MWF 4, Little 223<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Office Hours:<\/h3>\n\n\n\n<p>T7, W6 and by appointment.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Description and Goals<\/h3>\n\n\n\n<p>This course is an introduction to the ideas of\u00a0 higher algebra, concentrating mainly on the theory of groups, with some theory of rings. Group theory is the mathematical study of symmetry. Students will become acquainted with the axiomatic approach. Many examples of groups will be used to illustrate the abstract concepts. Students will learn to read mathematics slowly and critically and, in so doing, will develop the ability to write careful accurate proofs of their own.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Textbook<\/h3>\n\n\n\n<p>Contemporary Abstract Algebra, 9th ed., by Joseph A. Gallian (Brooks\/Cole Cengage learning).<br \/>\nYou can also use the 8th edition, or the 7th. The assigned homework problem numbers will refer to the 9th ed.<br \/>\nWith a few exceptions, the same problems can be found in the earlier editions, but with different numbers. <strong>Please avoid the 10th edition if possible as it has many misprints and errors.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Course Calendar<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-1290\">MAS4301 Course Calendar<\/a><\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Software<\/h3>\n\n\n\n<p>Some examples and exercises in the text make use of GAP.<\/p>\n\n\n\n\n\n<p>GAP is a free, top quality,\u00a0 open source package available for Windows, Mac OS X and Unix variants (including Linux).\u00a0 It can be downloaded from\u00a0 <a href=\"http:\/\/www.gap-system.org\" target=\"_blank\" rel=\"noopener\">http:\/\/www.gap-system.org<\/a>. GAP is also incorporated in the SageMath system<br \/>\n<a href=\"https:\/\/www.sagemath.org\"> https:\/\/www.sagemath.org\/<\/a>.<\/p>\n\n\n\n\n\n<p>It is not a course requirement to install and use GAP, but\u00a0 you will find it a good test of your understanding to try to explain the course material\u00a0 to a machine!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Web exercises<\/h3>\n\n\n\n<p><a href=\"https:\/\/www.d.umn.edu\/~jgallian\/JavafixB.html\">True\/false problems on Gallian&#8217;s website<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Homework<\/h3>\n\n\n\n<p>The following list is the bare minimum. If you are aiming for<br \/>\na top grade, you will probably want to try to work through all of the exercises<br \/>\nin the assigned chapters. (That&#8217;s a lot of exercises but once you get the hang of it, you will find that you can do many of them very quickly.)<\/p>\n\n\n\n\n\n<p>Ch.0: This chapter should be treated as prerequisite material. You should already<br \/>\nknow this stuff. Review this chapter and do any exercises as needed to reinforce your undersanding of the basics.<\/p>\n\n\n\n\n\n<p>Ch.1: 1,2,4,5,12,13,16.<\/p>\n\n\n\n\n\n<p>Ch.2: 7,8,9,11,13,23,24,28,33,47,49.<\/p>\n\n\n\n\n\n<p>Ch.3: 1,2,18,21,28,29,32,34,36.<\/p>\n\n\n\n\n\n<p>Ch.4: 2,4,7,11,16,31,37,52.<\/p>\n\n\n\n\n\n<p>Ch.5: 3,4,5,6,7,9,23,25,30,58.<\/p>\n\n\n\n\n\n<p>Ch.6: 1,2,5,7,8,14,28,37,42,44.<\/p>\n\n\n\n\n\n<p>Ch.7: 1,2,8,13,14,17,18,19,25,64.<\/p>\n\n\n\n\n\n<p>Ch.8: 1,4,5,14,15,37,54.<\/p>\n\n\n\n\n\n<p>Ch.9: 1,2,6,9,11,12,20,37,47,51.<\/p>\n\n\n\n\n\n<p>Ch.10: 2,3,4,7,8,9,14,16,29,48,51.<\/p>\n\n\n\n\n\n<p>Ch.11: 3,9,15,16.<\/p>\n\n\n\n\n\n<p>Ch.12: 1,2,3,4,6.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Grades<\/h3>\n\n\n\n<p>There will be two in-class tests worth 20 points each, a final worth 40 points and homework assignments worth 20 points in total. The dates of the tests are given in the course calendar. No make-up exams will be given except for documented special reasons such as medical emergencies. Exams can be rearranged for student athletes only if I am notified at least four weeks in advance.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Sample exams<\/h3>\n\n\n\n<p>These samples are intended to help you understand the length and depth of exam questions and how to answer them to earn full credit. Try to resist looking the solutions until you have tried your best to solve the problems, or you will gain little benefit from these samples. If you are tempted to memorize the solutions you will be wasting your time, as none of the sample problems will appear on the actual exams. It also probably means that you need to rethink your approach to learning higher mathematics. The samples are taken from a previous class with 3 in-class exams. They are 50-minute exams. The first two should be useful for our two class exams, and the third represents part of the material covered on the final.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-794\">sample for exam1<\/a><br \/>\n<a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-797\">solution<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-795\">sample for exam2<\/a><br \/>\n<a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-798\">solution<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-1101\">Another sample for test 2<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-796\">sample for exam3<\/a><br \/>\n<a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-799\">solution<\/a><\/li>\n<li> <a href=\"https:\/\/people.clas.ufl.edu\/sin\/content-removed\/\" rel=\"attachment wp-att-1273\">sample final<\/a><\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Grading Scale<\/h3>\n\n\n\n<p><b>Grades: A=90-100, A-=87-89, B+=83-86, B=78-82, B-=75-77, C+=70-74, C=65-69, C-=60-64, D=50-59, E=0-49<\/b><br \/>\nIf you think that a score has been <strong>computed incorrectly<\/strong>, please bring the matter to my attention within one day of your work being returned.<\/p>\n\n\n\n\n\n<p>If you think that your work has been <strong>graded incorrectly<\/strong>, please submit an appeal in writing within seven days of your work being returned, explaining your reasons in detail. Appeals may result in a higher, unchanged, or lower score, depending on the merit of the appeal. Decisions on appeals are final. The final exam cannot be appealed.<\/p>\n\n\n\n\n\n<p>The UF regulations on grades are here: <a title=\"UF grade policy\" href=\"https:\/\/catalog.ufl.edu\/ugrad\/current\/regulations\/info\/grades.aspx\" target=\"_blank\" rel=\"noopener\">https:\/\/catalog.ufl.edu\/ugrad\/current\/regulations\/info\/grades.aspx <\/a><\/p>\n\n\n\n\n\n<p>The UF policy on minus grades is <a href=\"https:\/\/catalog.ufl.edu\/UGRD\/academic-regulations\/grades-grading-policies\/#:~:text=No%20grades%20will%20be%20calculated,credit%20is%20awarded%20only%20once.&amp;text=Colleges%20may%20not%20accept%20grade,credit%20in%20the%20same%20field.\">here.<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Attendance and Late Policy<\/h3>\n\n\n\n<p><strong>Attendance is mandatory<\/strong>, except for absences allowed by UF policies.<\/p>\n\n\n\n\n\n<p>The UF policy on attendance is here: <a title=\"UF attendance policy\" href=\"https:\/\/catalog.ufl.edu\/ugrad\/current\/regulations\/info\/attendance.aspx\" target=\"_blank\" rel=\"noopener\">https:\/\/catalog.ufl.edu\/ugrad\/current\/regulations\/info\/attendance.aspx<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Disabilities statement<\/h3>\n\n\n\n<p>Students with disabilities requesting accommodations should first<br \/>\nregister with the Disability Resource Center (352-392-8565,<br \/>\n<a href=\"https:\/\/disability.ufl.edu\/\">https:\/\/disability.ufl.edu\/<\/a>) by providing appropriate documentation. Once<br \/>\nregistered, students will receive an accommodation letter which must<br \/>\nbe presented to the instructor when requesting accommodation. Students<br \/>\nwith disabilities should follow this procedure as early as possible in<br \/>\nthe semester.<\/p>\n\n\n\n\n\n\n\n\n\n<h3 class=\"wp-block-heading\">Health and Wellness<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>U Matter, We Care: If you or a friend is in distress, please contact<br \/>\n<a href=\"mailto:umatter@ufl.edu\">umatter@ufl.edu<\/a> or 352-392-1575\u00a0 so that a team member can reach out to the student.<\/li>\n<li>Counseling and Wellness Center:<a href=\"http:\/\/www.counseling.ufl.edu\"> http:\/\/www.counseling.ufl.edu<\/a>, 352-392-1575.<\/li>\n<li>Sexual Assault Recovery Services (SARS)<\/li>\n<li>Student Health Care Center, 352-392-1161.<\/li>\n<li>University Police Department, 392-1111 (or 9-1-1 for emergencies).<a style=\"font-size: 1rem\" href=\"http:\/\/www.police.ufl.edu\/\">http:\/\/www.police.ufl.edu\/<\/a><\/li><\/ul>\n\n\n\n\n\n\n\n<h3 class=\"wp-block-heading\">Honor Code<\/h3>\n\n\n\n<p>UF students are bound by The Honor Pledge which states, \u201cWe, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honor and integrity by abiding by the Honor Code.<br \/>\nOn all work submitted for credit by students at the University of Florida, the following pledge is either<br \/>\nrequired or implied: \u201cOn my honor, I have neither given nor received unauthorized aid in doing this<br \/>\nassignment.\u201d<\/p>\n\n\n\n\n\n<p>The Honor Code (<a href=\"https:\/\/sccr.dso.ufl.edu\/policies\/student-honor-code-student-conduct-code\/\" target=\"_blank\" rel=\"noopener\">https:\/\/sccr.dso.ufl.edu\/policies\/student-honor-code-student-conduct-code\/<\/a>)<br \/>\nspecifies a number of behaviors that are in violation of this code and the possible sanctions.<br \/>\nFurthermore, you are obliged to report any condition that facilitates academic misconduct to appropriate<br \/>\npersonnel. If you have any questions or concerns, please consult with the instructor of this class.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Course Evaluations<\/h3>\n\n\n\n<p>Students are expected to provide professional and respectful feedback on the quality of instruction in this course by completing course evaluations online via GatorEvals. Guidance on how to give feedback in a professional and respectful manner is available at <a href=\"https:\/\/gatorevals.aa.ufl.edu\/students\/\">https:\/\/gatorevals.aa.ufl.edu\/students\/<\/a>. Students will be notified when the evaluation period opens, and can complete evaluations through the email they receive from GatorEvals, in their Canvas course menu under GatorEvals, or via\u00a0<a href=\"https:\/\/ufl.bluera.com\/ufl\/\">https:\/\/ufl.bluera.com\/ufl\/<\/a>. Summaries of course evaluation results are available to students at<br \/>\n<a href=\"https:\/\/gatorevals.aa.ufl.edu\/public-results\/\">https:\/\/gatorevals.aa.ufl.edu\/public-results\/<\/a>.<\/p>\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":142,"featured_media":0,"parent":8,"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-1292","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/pages\/1292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/comments?post=1292"}],"version-history":[{"count":9,"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/pages\/1292\/revisions"}],"predecessor-version":[{"id":1495,"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/pages\/1292\/revisions\/1495"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/pages\/8"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/sin\/wp-json\/wp\/v2\/media?parent=1292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}