MAT 333 Abstract Algebra, Section 01, CRN 41548, Fall 2015


Class meets MW 7:00 pm- 8:15 pm in SCC 1304.


Instructor: Serban Raianu, office: NSM A-123, office phone number: (310) 243-3139,

e-mail address:, URL:;

office hours: Monday, Wednesday, Friday: 2:35 PM - 3:55 PM, or by appointment.



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


Text: It will be posted on Blackboard.


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, polynomial rings F[x] where F is a field, groups, etc.) ; find examples of objects that satisfy given algebraic properties (a noncommutative ring, a commutative ring but not an integral domain, etc)


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 is due 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 headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes.  No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken.  Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.




Tentative homework assignments

M 8/24: 1.1.2,1.1.6,1.1.7,1.1.8,1.1.11,1.1.12

W 8/26:  1.1.13,1.1.15,1.1.16,1.1.17

M 8/31: 1.2.3,1.2.4,1.2.6,1.2.9,1.2.12

W 9/2: 1.2.14,1.2.16,1.2.17,1.2.18,1.2.26

M 9/7:  Labor Day Holiday

W 9/9: 1.3.3,1.3.9,1.3.12,1.3.19

M 9/14: 1.4.3,1.4.4,1.4.5

W 9/16: 1.4.6,1.4.7,1.4.8,1.4.11,1.4.13

M 9/21: Review

W 9/23: Exam I

M 9/28: 1.5.3,1.5.4,1.5.6,1.5.8

W 9/30: 1.5.13,1.5.15,1.5.17

M 10/5: 1.6.2,1.6.4

W 10/7: 1.6.16,1.6.17

M 10/12: 1.7.3,1.7.7,1.7.8,1.7.10,1.7.11,1.7,12

W 10/14:  1.7.14,1.7.19,1.7.20,1.7.21

M 10/19: Review

W 10/21: Exam II

M 10/26: 2.1.2,2.1.6,2.1.7,2.1.8,2.1.13

W 10/28: 2.2.2,2.2.3,2.2.5,2.2.6

M 11/2: 2.2.7,2.2.8,2.2.10,2.2.12,2.2.14

W 11/4: 2.3.4,2.3.6,2.3.8,2.3.10,2.3.11

M 11/9: 2.3.13,2.3.14,2.3.15,2.3.16

W 11/11: Veterans Day Holiday

M 11/16: Review

W 11/18: Exam III

M 11/23: 2.4.2,2.4.3,2.4.5,2.4.8,2.4.10,2.4.12,2.4.15,2.4.16,2.4.17

W 11/25: 2.5.2,2.5.10,2.5.11,2.5,12

M 11/30: 2.6.3,2.6.6,2.6.7,2.6.9

W 12/2: 2.6.10,2.6.11,2.6.12,2.6.15

M 12/7: Review


Final examination: Monday, December 14, 7:00 PM - 9:00 PM.


Important dates


August 22-September 10


Late Registration, Add/Drop (fees due 48 hours after registration)

September 4


Instructor Drop Deadline

September 7


Labor Day Holiday-Campus Closed, No Classes

September 10


Credit/No Credit and Audit Grading Deadline

September 10


Last Day to Drop from FT to PT Status with Refund




September  15


Fall 2015 Graduation Application Deadline (with late fee)

September 17


Fall Convocation

September 21


Drop Without Record of Enrollment Deadline

September 21


Student Census

September 22-November 12


Serious and Compelling Reason Required to Drop/Withdraw

October 1


Spring 2016 Graduation Application Deadline

October 19-January 22


Spring 2016 Registration

October 23


Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees

October 26-January 1


Winter 2016 Registration

November 11


Veterans Day Holiday-Campus Closed, No Classes

November 13-December 3


Serious Accident/Illness Required to Drop/Withdraw