Telephone:

(505) 277-2214

• Write clear and concise proofs pertaining to algebraic structures.
  
• Use irreducible polynomials to construct field extensions. 
  
• Find the splitting field of a polynomial. 
  
• Determine if a field  extension is separable. 
  
• Use the Sylow theorems to determine simplicity of a group. 
  
• Find a composition series of a group.
  
• Find the Galois Group of a normal extension.
  
• Use the Galois Correspondence to determine all intermediate subfields of a field extension.
• Know the divisibility properties in different types of domains.

Text :  A First Course in Abstract Algebra, 7^th Edition  By John Fraleigh.

1) Daily Quizzes (100 points): The first 5 minutes of every class (excluding exam days) will consist of an open notebook quiz on the concepts of the previous lecture. The quizzes will be worth 5 points each. I will drop your 4 lowest quizzes and average the remaining quizzes to obtain a score out of 100.

2) Homework (200 points):  Homework will be assigned weekly on Wednesdays and will be collected the following Thursday by 8 am under my office door.  Homework will not be graded unless it is written in order and labeled appropriately.   The definitions and theorems in the text and given in class are your tools for the homework proofs. If the theorem has a name, use it. Otherwise, I would prefer that you fully describe the theorem in words, than state by Theorem 3.  Each week around 4 or 5 of the assigned problems will be graded. The weekly assignments will each be worth 20 points. I will drop your lowest two homework scores and the remaining homework will be averaged to get a score out of 200.

3) Exams (400 points):  I will give two midterms (100 points) and a final (200 points). There are no make up exams. If a test is missed, notify me as soon as possible on the day of the exam. For the midterms only, if you have a legitimate and documented excuse, your grade will be recalculated without that test using the percentage that you receive on the final exam.  The Midterms are tentatively scheduled for Monday February 26 and Monday, April 15.  The Final is on Wednesday, May 8, from 7:30-9:30 am. 

Grades:  General guidelines for letter grades (subject to change due to the class "curve"; but they won't get any more strict): 90-100% - A; 80-89% - B; 70-79% - C; 60-69% - D; below 60% - F.  In assigning Final Grades for the course, I will compare your grade on all course work (including the Final) and your grade on the Final Exam.  You will receive the better of the two grades.

Tentative Schedule (for Dr. Vassilev's Modern Algebra II):

Accomodation Statement: Accesibility Resource Center (Mesa Vista Hall 2021, 277-3506) provides academic support to students who have disabilities.  If you think you need alternative accessible formats for undertaking and completing your coursework, you should contact this service right away to assure your needs are met in a timely manner.