Day/Time: TTh 12:30pm-2pm; Location: PMA 12.166; Unique: 59365

Instructor

Mirela Ciperiani (mirela at math dot utexas dot edu); Office: PMA 12.164

Office Hours

Thursday 10-11am in PMA 12.164 or by appointment.

Text

Abstract Algebra, 3rd edition by Dummit and Foote, published by Wiley. We will cover material from parts I-III.

The book should be available at the University Co-op.

Prerequisites

Undergraduate abstract algebra. Contact me for more details if you are not sure whether this course is for you.

Teaching Assistant:

TBA (tba at utexas dot edu)

Office Hours: TBA

Please contact the TA if you have any questions about the grading of the homework.

Midterm exam

Thursday, October 15 in class.

Final exam

Thursday, December 10, 8-10am in PMA 12.166.

All students must take the final at the time scheduled by the university.

Homework

The weekly homework assignments will be posted on Canvas by Thursday evening each week. The homework will be due on Wednesdays at 11pm (upload on Gradescope ) and will be returned to you within a week.
All homework must be handwritten.
Sample solutions will be posted on Canvas on Thursdays.
Late homework is not accepted but the lowest homework grade will be dropped.

Quizzes

Friday 10:15-10:55am or 11-11:40am (to be announced in advance) in PMA tba.

Quiz dates: September 11, 18, 25; October 2, 9, 23, 30; November 6, 13, 20.

Each Tuesday in class you will sign up to take the Friday quiz if you wish to do so.

Each student much take one quiz per month (September, October, November). The quiz consists of one problem from the homework set that was submitted during the previous week. This problem will be a non-trivial problem on which you did close to as well as possible.

AI policy

You are allowed to use AI to solve a problem in your homework set if you have thought about it for at least two hours.
You must declare all use of AI in your submitted homework sets.

Grading

Homework 20%

Quizzes 10%

Midterm 30%

Final exam 40%

On all work, your grade will be computed as a percentage: the number of points you earned divided by the number of points possible. The percentages of each type of work that will be used to compute your final grade are given above. Your letter grade will be given based on your numerical average earned in the class, on a scale not stricter than the following: you are guaranteed a D for 40 or above, C- for 50 or above, C for 55 or above, C+ for 65 or above, B- for 70 or above, B for 75 or above, B+ for 85 or above, A- for 90 or above, and an A for 93 or above.

Conflicts

Students with special concerns, be they athletes who might miss class meetings, students with religious observances that interfere with class meetings, or students with disabilities who need special accommodation, are all supposed to notify the instructor about these special needs.

Both exams must be taken at the date/time announced above barring serious personal/health issues.

Disabilities

Students with disabilities may request appropriate academic accommodations from the office of Disability and Access (D&A), 512-471-6259.

Classroom Recording

HOP 2-9970 prohibits students from recording class instruction (audio or video) unless a student obtains the instructor's permission or Disability & Access has approved audio recording as an accommodation.

Class recordings are reserved only for students in this class for educational purposes and are protected under FERPA. The recordings should not be shared outside the class in any form. Violation of this restriction by a student could lead to Student Misconduct proceedings.

Sharing of Course Materials is Prohibited

No materials used in this class, including, but not limited to, lecture hand-outs, videos, assessments (quizzes, exams, papers, projects, homework assignments), in-class materials, review sheets, and additional problem sets, may be shared online or with anyone outside of the class unless you have my explicit, written permission. Unauthorized sharing of materials promotes cheating. It is a violation of the University's Student Honor Code and an act of academic dishonesty. I am well aware of the sites used for sharing materials, and any materials found online that are associated with you, or any suspected unauthorized sharing of materials, will be reported to Student Conduct and Academic Integrity in the Office of the Dean of Students. These reports can result in sanctions, including failure in the course.

The University Policies and Resources for Students Canvas page provides a list of resources that are important for students as they engage with and navigate their courses and the university.

Topics

1. Groups
   • Definitions and Examples
   • Homomorphisms
   • Subgroups and Quotient Groups
   • Group Actions
   • The Sylow Theorems
2. Ring Theory
   • Ideals and Homomorphisms
   • Factorization in rings
   • Polynomial rings
3. Module Theory
• Basic definitions and Examples
• Module homomorphisms
• Tensor products
• Modules over PIDs
• Canonical Forms
4. Possible Supplemental Topics
   • Homological Algebra
   • Basic Commutative Algebra