{"id":1321,"date":"2024-10-27T19:22:54","date_gmt":"2024-10-27T23:22:54","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/sin\/?page_id=1321"},"modified":"2026-03-19T08:10:55","modified_gmt":"2026-03-19T12:10:55","slug":"mas5312-inroduction-to-algebra-2-spring-2025","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/sin\/mas5312-inroduction-to-algebra-2-spring-2025\/","title":{"rendered":"MAS5312 Inroduction to Algebra 2 Spring 2025"},"content":{"rendered":"\r\n
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MAS5312 Inroduction to Algebra 2 Spring 2025<\/h1>\n\n\n\n

Instructor:\u00a0 Prof. Peter Sin\u00a0<\/span><\/a> \u00a0(Links to an external site.)<\/span> <\/a><\/h3>\n\n\n\n

Time and Location:<\/h3>\n\n\n\n

MWF Per. 3,\u00a0 Little 221.<\/p>\n\n\n\n\n\n\n\n\n\n

Office Hours:<\/h3>\n\n\n\n

Dr Sin :\u00a0 TPer. 7, WPer. 5, Little 432, and by appointment.<\/span><\/h3>\n\n\n\n

Textbook:<\/h3>\n\n\n\n

Abstract Algebra, 3rd Edition, by D. S. Dummit and R. M. Foote. A list of errata for this book is available here <\/a><\/p>\n\n\n\n

Aim of Course<\/h3>\n\n\n\n

This course is the second part of a two semester sequence to prepare students for the First Year Algebra Exam. In this sequence the student will learn the basic concepts and results in algebra. Full mathematical rigor and abstraction are used throughout. The first semester focused mainly on group theory, with material taken from chapters 1-6 of the text. In the second semester the main topics are rings and modules and fields, with material selected from chapters 7-13 of the text.<\/p>\n\n\n\n

Grading<\/h3>\n\n\n\n

Grades will be based on two midterms (25% each) and a final exam (50%). Mathematical accuracy and clarity of exposition are the qualities which will earn high marks. Most graduate students must maintain a GPA not less than 3.0 to satisfy the conditions of their funding.\u00a0<\/p>\n\n\n\n\n\n

Midterm Exam: 2\/14\/25 and 3\/28\/25 during normal class period.<\/p>\n\n\n\n\n\n

Final Exam: 5\/2\/2025 10:00 AM – 12:00 PM Lit 221<\/p>\n\n\n\n

Suggested\u00a0 Problems<\/h3>\n\n\n\n

Below are some suggested exercises, grouped in a similar way to the graded assignments
of MAS5311 last Fall. However they are not graded.
I recommend doing far more than those in this list, but I provide this list so that
we have at least some problems in common for discussions.<\/p>\n\n\n\n\n\n

7.1.13, 7.1.21, 7.1.23, 7.1.25<\/p>\n\n\n\n\n\n

7.2.10, 7.3.13, 7.3.22, 7.3.34
(In 7.3 exercises note that R is assumed to have \u00a0a 1neq 0.)<\/p>\n\n\n\n\n\n

7.3.29, 7.4.1, 7.4.13, 7.4.25<\/p>\n\n\n\n\n\n

7.5.2, 7.6.3, 8.1.7, 8.1.8<\/p>\n\n\n\n\n\n

8.2.6, 8.2.8, 8.3.6, 8.3.7<\/p>\n\n\n\n\n\n

7.4.32, 9.1.3, 9.1.5, 9.1.17<\/p>\n\n\n\n\n\n

7.2.3, 7.2.4, 7.2.5, 7.5.5<\/p>\n\n\n\n\n\n

9.4.8, 9.4.15, 9.5.1, 10.1.13<\/p>\n\n\n\n\n\n

10.1.8, 10.2.13, 10.3.5, 10.3.11<\/p>\n\n\n\n\n\n

11.3.1, 11.3.4, 12.1.2, 12.1.5<\/p>\n\n\n\n

Resources<\/h3>\n\n\n\n

First Year Algebra Exam Syallabus<\/a><\/p>\n\n\n\n\n\n

GMA Archive of past First Year algebra exams<\/a><\/p>\n\n\n\n\n\n\n\n\n\n

Disabilities statement<\/h3>\n\n\n\n

Students with disabilities requesting accommodations should first
register with the Disability Resource Center (352-392-8565,
http:\/\/www.dso.ufl.edu\/drc\/<\/a>) by providing appropriate documentation. Once
registered, students will receive an accommodation letter which must
be presented to the instructor when requesting accommodation. Students
with disabilities should follow this procedure as early as possible in
the semester.<\/p>\n\n\n\n\n\n\n\n\n\n

Health and Wellness<\/h3>\n\n\n\n