**Math 521-- Abstract Algebra I**

**Fall 2016, TuTh 10:15 - 11:30, SAS 1218**

**Instructor:** Seth Sullivant, office: 3114 SAS Hall, email: smsulli2@ncsu.edu

**Syllabus:** Syllabus

**Office Hours: **Tu 11:30 - 12:30, Tu 4:00-5:00, W 3:00-4:00,
Or by appointment

**Text:** David Dummit and Richard Foote, *Abstract Algebra* (Third Edition), Pearson, ISBN-13:978-0-321-79477-2

**Prerequisites: **MA 405 and 407 (Undergraduate linear algebra and abstract algebra). A document that covers the necessary background in abstract algebra is here.

**Course Description: **This course is part of a two course qualifying exam sequence on abstract algebra, covering major topics of interest necessary for study in nearly all areas of mathematics research.

The first course assumes a solid foundation in undergraduate abstract algebra. After brief review of undergraduate level material the course will cover the following topics: quotient groups, group actions and the Sylow theorems, quotient rings, factorization, principal ideal domains, fields, Galois theory.

The second course will cover module theory, some homological algebra, and representation theory.

A more detailed breakdown of the topics that will be covered over the two semesters is availabe here.

Learning Objectives (This document will be updated throughout the course and can be used as a study guide.)

** Schedule: ** Is available here.

** Homework: ** Homework will be roughly assigned weekly and is due in class on Thursday, unless otherwise indicated.

A file explaining how to prepare your homework can be found here. Homework assignments can be found here.

**Policy on Late Homework:** Homework is due in class on Thursdays, unless otherwise indicated. Late homework will be accepted up to Friday at 5 PM on the week it was due, and will received 80% of the points.** Each student may turn in at most 2 late homework assignments during the semester for credit. **If you must miss a class on the day a homework is due and you want full credit, it is your responsibility to get the homework to me by 5PM on Friday. I do not accept scans or photos of homework but if you prepare your homeowrk in LateX you can send me a pdf.

**Prerequisite Exam: **There will be an in-class 75-minute prerequisite exam on the third day of class. The prerequisite exam will consist of a subset of problems on the abstract algebra prep guide which you should use to prepare yourself before the semester begins. The prerequisite exam is worth 10% of the final grade.

**Exams:** There will be an in-class 75-minute midterm exam and a comprehensive final exam. The midterm will be worth 20% of the grade and the final is worth 40% of the grade. The midterm is on October 20. The final is on December 8, in the usual classroom from 8 AM to 11 AM.

**Grades: **Grades will be based on Homework (30%), Prerequisite Exam (10%), Midterm (20%), and Final Exam (40%). Grades are based on the following scale: A : (> 85%), B: (70-85 %) C: (60-70%) D-F: (<60%).

**LateX Resources:**

- Essential LateX
- Essential Mathematical LateX
- LateX 2e introduction
- LATEX Software and Documentation
- Easy to install LateX for Windows
- Easy to install LateX for Macs