This document is subject to major updates until the first day of classes!
This syllabus is subject to minor corrections and updates at any time! Major changes may arrive, if we are so ordered by (disease control) authorities.
Last update: Monday, February 15, 2021
INTRODUCTION TO MODERN ALGEBRA
(MATH 3163-001, Spring 2021)
Office: Fretwell 335F, Phone: 704-687-1045, E-mail: email@example.com
Office hours: TR 2:30-3:30 pm or by appointment. Office hours will be held over Zoom.
Abstract Algebra: An Introduction, 3rd Edition, by Thomas Hungerford ISBN: 9781111569624.
Some information may be provided on supplementary handouts, and you can not expect everything told in the lecture to be found in the book. Attendance (virtual or physical) is mandatory!
|Prerequisites:||MATH 1242 or MATH 2164 with a grade of C or better or consent of the department.|
|Topics:||Chapter 1: Arithmetic in ℤ Revisited.
Chapter 2: Congruence in ℤ and Modular Arithmetic.
Chapter 3: Rings.
Chapter 4: Arithmetic in F[x].
Chapter 5: Congruence in F[x] and Congruence-Class Arithmetic.
Chapter 6: Ideals in Quotient Fields.
Time permitting, and depending on the interest of the audience, we may also cover some of Chapter 7 (Groups).
|Attendance:||Required, either in person, or by synchronous participation via Zoom.
It is your right to attend online if you want to be cautious, it is your duty if you feel sick! Recall that wearing a CDC-compliant face covering is mandatory in classrooms and labs. You are only allowed to attend in person on the days the Office of the Registrar assigned you to do so. This is to help contract tracing and I have no authority to change your subsection assignment.
The current expectation is that both tests and the final exam will be on campus. Zoom sessions will be recorded and you will have to have your video on. You will be counted absent if you miss 15 minutes or more of a lecture. Having 8 or more absences results in an automatic course grade of F! Even excusable absences are counted toward the maximum of 7 allowed absences. This is a synchronous class. Zoom recordings and scanned lecture notes will be posted as a courtesy, subject to no unexpected technical problems.
|Homework:||Homework will be assigned every day, and will be usually collected once every week, via Canvas. You will have to submit scanned PDF files, any other file format may be rejected. The number of exercises per week will be low, but I will expect a detailed writeup. Keep in mind that this is a writing intensive class. A random selection of the assigned exercises will be graded. Past due assignments will be rejected. No partial credit will be given for bonus questions, only perfectly good solutions will be accepted. However, a bonus assignment may be resubmitted an arbitrary number of times before its final due date of April 22. Some of my test questions may be very similar or even identical to homework questions that have been previously discussed in class. This by itself is a great reason to regularly attend every lecture, another reason being that mathematics is cumulative, failing to understand one section will impact the ability to learn several subsequent sections.|
|Evaluation:||Grades will be based on: 23% for the homework, 22% for each of the tests, and 33% for the final (22% for the mandatory part, 11% for the optional part).
Tentative grading scale: 90 - 100 % A, 75 - 89% B, 60 - 74% C, 50 - 59 % D, 0 - 49% F. (This scale is applicable only if you have 7 or less absences.)
|Class meeting:||Tuesdays and Thursdays 1:00 - 2:15 pm in Fretwell 100.|
|Disabilities:||UNC Charlotte is committed to access to education. If you have a disability and need academic accommodations, please send me your accommodation letter as early as possible. You are encouraged to meet with me to discuss the accommodations outlined in your letter. For more information on accommodations, contact the Office of Disability Services at 704-687-0040 (Fretwell 230).|
|Rules of the Classroom:||To ensure that your fellow students' right of learning is protected, please observe the following:
|Academic Integrity:||All students are required to read and abide by the Code of Student Academic Integrity. Violations of the Code of Student Academic Integrity, including plagiarism, will result in disciplinary action as provided in the Code. Definitions and examples of plagiarism are set forth in the Code. The Code is available from the Dean of Students Office or online. In this class, the following special rules apply:
|Copyright issues:||My lectures and course materials, including presentations, tests, exams, outlines, and similar materials, are protected by copyright. I am the exclusive owner of copyright in those materials I create. I encourage you to take notes and make copies of course materials for your own educational use. However, you may not, nor may you knowingly allow others to reproduce or distribute lecture notes and course materials publicly without my express written consent. This includes providing materials to commercial course material suppliers such as CourseHero and other similar services. Students who publicly distribute or display or help others publicly distribute or display copies or modified copies of an instructor's course materials may be in violation of University Policy 406, The Code of Student Responsibility. Similarly, you own copyright in your original papers and exam essays. If I am interested in posting your answers or papers on the course web site, I will request your written permission.
I wish to especially underscore that under no circumstances should you make homework solutions publicly available.
The syllabus page shows a table-oriented view of the course schedule, and the basics of course grading. You can add any other comments, notes, or thoughts you have about the course structure, course policies or anything else.
To add some comments, click the "Edit" link at the top.