**Math 721-- Abstract Algebra II **

**Spring 2010, TuTh 10:15--11:30 SAS Hall 1218**

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

**Office Hours: **Mu 3-4 PM, Tu 2-3 PM, W 10-11 AM

**Text:** *Algebra*, Michael Artin, Prentice Hall, 1991, ISBN-13: 978-0130047632

**Alternate Reading:** *Abstract Algebra*, Dummit and Foote. *Algebra*, Lang. *Introduction to Commutative Algebra*, Atiyah and MacDonald

**Course Description: **This is the second course in the two course graduate sequence on abstract algebra. The goal for the year-long course is to cover the algebraic material that "every graduate student should know". The four main topics to be covered are four of the main types of algebraic objects: groups, rings, fields, and modules. The fall semester will focus on groups and rings, and the spring semester on fields and modules. Particular topics to becoved in the spring include: modules including the classification of finitely generated modules over PIDs, basic homological algebra, field theory including the fundamental theorem of Galois theory, and, time permitting, representation theory of finite groups.

** Schedule: ** Is available here.

** Homework:** Homework will be assigned regularly and is due at 5 PM on Thursday to either my office or my mailbox (in SAS 3151), unless otherwise noted. Students are encouraged to collaborate on homework, but each student must write up their own solution. Please indicate on your homework any sources that you used in preparing solutions (e.g. if another student helped with a solution, or you found the solution in a book). Students are encouraged to prepare homework solutions in LateX. A file explaining how to prepare your homework can be found here. Homework assignments can be found here.

** Exams: ** There will be one in-class midterm exam and one final exam. The midterm will be in-class on March 2. The final will be at 8 AM on May 11. Exam questions will be based on the course learning objectives.

** Grades: ** Grades will be based on Homework (50%), Midterm Exam (20%), Final Exam (30%). Improvement throughout the semester will also be taken into consideration when assigning grades.

**Attendance:** Students are expected to arrive on time, to contribute to group work and class discussions, and to stay until the class ends. Attendance at all meetings of the class is expected. Occasional absences will be approved if they meet University policies.

**Adverse Weather:** Announcements regarding scheduled delays or the closing of the University due to adverse weather conditions will be broadcast on local radio and television stations and posted on the University homepage.

**H1N1 Policy: **
If you are ill with symptoms of H1N1 influenza (i.e. fever over 100, sore throat, cough, stuffy or runny nose, fatigue, headache, body aches, vomiting and diarrhea) please do not come to class. Instead, immediately contact your medical provider or Student Health Services (515-7107) for advice or to arrange an appointment. If you are diagnosed with H1N1, please inform me immediately. You will be required to be isolated away from class for up to 7 days or 24 hours after symptoms subside, whichever is longest.

**Cell Phones:** Pagers, cellular phones and other types of telecommunication equipment are prohibited from use during class. Make sure that any pagers, phones or other equipment are turned off during the class period. If you have a special need to have your pager or phone on during class, please let me know.

**Academic Integrity Statement: **Students are required to follow the NCSU policy . “Academic dishonesty is the giving, taking, or presenting of information or material by a student that unethically or fraudulently aids oneself or another on any work which is to be considered in the determination of a grade or the completion of academic requirements or the enhancement of that student's record or academic career.’’ (NCSU Code of Student Conduct). The Student Affairs website has more information.

**Students with Disabilities:** Reasonable accommodations will be made for students with verifiable disabilities. In order to take advantage of available accommodations, students must register with Disabilities Services for Students.

**Class Evaluations:** Online class evaluations will be available for students to complete during the last two weeks of class. Students will receive an email message directing them to a website where they can login using their Unity ID and complete evaluations. All evaluations are confidential; instructors will never know how any one student responded to any question, and students will never know the ratings for any particular instructors.

**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