**MAT 333 Abstract Algebra, Section
01, CRN 41229, Fall 2013**

**Class meets MW 7:00
pm- 8:15 pm in SBS D121.**

**Instructor:**

e-mail address: sraianu@csudh.edu, URL: http://www.csudh.edu/math/sraianu;

office hours: Monday, Tuesday,
Wednesday, Thursday: 5:55 PM – 6:55 PM, or by appointment.

**Course
Description: **MAT
333, Abstract Algebra, covers sets, groups, rings, polynomial rings, fields.

**Text: **Course notes will be posted on
Blackboard before each class. The homework will consist of all the exercises in
the section covered that day.

**Objectives: **After completing MAT 333 the
student should be able to: state definitions of basic concepts (e.g.,
congruence, groups, rings, integral domains, fields, subrings, homomorphisms,
ideals); understand and use the Euclidean algorithm; understand and use modular
arithmetic; state major theorems (e.g., the division algorithm, the unique
factorization theorem, the remainder theorem, the factor theorem, the
isomorphism theorems) and be able to identify the structures to which each
theorem applies (e.g. the integers, integral domains, polyno

**Prerequisites:** MAT 271 or equivalent with a grade of "C" or
better.

**Grades: **Grades will be based on three in‑class
full‑period examinations (60% total), a comprehensive final examination
(25%), and quizzes, homework, and other assignments (15%) for the remainder.
The exact grading system for your section is the following: each of the three
full-period exams will be graded on a 100 scale, then the sum of the
scores is divided by 5 and denoted by E. Homework will be collected every
Monday, and each homework is worth 5 points. No late homework will be accepted.
The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every
Monday, with the exception of the review and exam days, and will be graded on a
scale from 1 to 5. The average of the quizzes scores is denoted by Q. There are
also 5 points awarded for attendance and class participation, this portion of
the grade is denoted by A. The final exam will be graded out of a maximum
possible 200, then the score will be divided by 8 and
denoted by F.

To determine your final grade compute E+H+Q+A+F. The maximum is 100,
and the grade will be given by the rule:

A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82

C+: 77‑79; C: 73‑76; C‑: 70‑72; D: 60‑69; F: Less than 60.

**Makeups:** No makeup examinations or
quizzes will be given. If you must miss an examination for a legitimate reason,
discuss this, in advance, with me, and I may then substitute the relevant score
from your final examination for the missing grade.

**Accomodations for
Students with Disabilities: **Cal
State Dominguez Hills adheres to all applicable federal, state, and local laws,
regulations, and guidelines with respect to providing reasonable accommodations
for students with temporary and permanent disabilities. If you have a
disability that may adversely affect your work in this class, I encourage you
to register with Disabled Student Services (DSS) and to talk with me about how
I can best help you. All disclosures of disabilities will be kept strictly
confidential. Please note: no accommodation may be made until you register with
the DSS in WH B250. For information call (310) 243-3660 or to use
telecommunications Device for the Deaf, call (310) 243-2028.

**Academic Integrity: **The mathematics department does
not tolerate cheating. Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the Student
Development Office, or refer to the University Catalog for more information.
(Look in the index under "academic integrity".)

**Exam rules: **Students must leave their CSUDH
student ID on their desk for the duration of the exam. Cell phones, iPhones,
iPods, or PDAs of any kind, as well as hea

**Tentative
schedule and homework assignments**

**M 8/26:** Sets
and functions

**W 8/28: **The integers

**M 9/2: Labor Day
Holiday**

**W 9/4: **Equivalence relations and factor
sets

**M 9/9: **Groups and morphisms of groups

**W 9/11:** Subgroups and normal subgroups

**M 9/16: **Factor groups

**W 9/18:** Finite groups and the Lagrange
theorem

**M 9/23:** **Review**

**W 9/25: Exam
I**

**M 9/30: **Rings and morphisms of rings

**W 10/2: **Subrings and ideals

**M 10/7: **Factor rings

**W 10/9:** Prime and maximal ideals

**M 10/14:** Rings of fractions

**W 10/16: **Polynomial
rings

**M 10/21: **Symmetric polynomials

**W 10/23: Review**

**M 10/28:** **Exam
II**

**W 10/30: **Divisibility in rings

**M 11/4: **Prime elements

**W 11/6:** Irreducible elements

**M 11/11: Veterans Day Holiday**

**W 11/13:** Euclidean rings

**M 11/18:** Principal ideal domains

**W 11/20: **Unique factorization domains

**M 11/25: **Irreducible polynomials

**W 11/27: Review**

**M
12/2: Exam III**

**W
12/4: Review **

**Final examination:
Monday December 9, 7:00 PM - 9:00 PM.**

Important
Dates:

August 24-September 12 |
Saturday-Thursday |
Late Registration, Add/Drop
(fees due 48 hours after registration) |

September 2 |
Monday |
Labor Day Holiday-Campus Closed, No Classes |

September 6, 12 pm |
Friday |
Instructor Drop Deadline |

September 12 |
Thursday |
Credit/No Credit and Audit Grading Deadline |

September 12 |
Thursday |
Fall Convocation |

September 12 |
Thursday |
Last Day to Drop from FT to PT Status with
Refund |

September 16 |
Monday |
Fall 2013 Graduation Application
Deadline (with late fee) |

September 23 |
Monday |
Student Census |

September 23 |
Monday |
Drop Without Record of
Enrollment Deadline |

September 24-November 14 |
Tuesday- Thursday |
Serious and Compelling Reason Required to
Drop/Withdraw |

October 1 |
Tuesday |
Spring 2014 Graduation
Application Deadline |

October 25 |
Friday |
Last Day for Pro-rata Refund of
Non-Resident Tuition and Tuition Fees |

October 28-January 1 |
Monday-Wednesday |
Winter 2014 Registration |

November 4-January 17 |
Monday-Friday |
Spring 2014 Registration |

November 11 |
Monday |
Veterans Day Holiday-Campus
Closed, No Classes |

November 15-December 5 |
Friday-Thursday |
Serious Accident/Illness Required to
Drop/Withdraw |

November 28-December 1 |
Thursday-Sunday |
Thanksgiving Holiday-Campus
Closed, No Classes |

November 29 |
Friday |
Thanksgiving Break-Campus Closed, No
Classes (Not a Holiday) |

December 6 |
Friday |
Last Day of Scheduled Classes |

December 7 |
Saturday |
Study Day |

December 7-13 |
Saturday-Friday |
Final Examination |

December 10 |
Tuesday |
Grade Submission Begin |

December 13 |
Friday |
Evaluation Day |

December 17, 3 pm* |
Tuesday |
Final Grades Due |

December 17 |
Tuesday |
Semester Ends |