MAT 333 Abstract Algebra, Section 01, CN 40824, Fall 2010

Course Description: MAT 333, Abstract Algebra, covers material from the first two chapters of the textbook: sets, groups, rings, polynomial rings, fields.

Text: Algebra I: Groups, Rings, & Arithmetic, by Serban Raianu, PDF available online at https://math.csudh.edu/~sraianu/algebrabook.html

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.

Accommodations 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 Student disAbility Resource Center (SdRC) 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 SdRC in WH D-180. 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".)

Tentative homework assignments

M 8/26: 1.1 Sets and functions: 1.1.2,1.1.6,1.1.7,1.1.8,1.1.11,1.1.12

W 8/28: 1.1 Sets and functions: 1.1.13,1.1.15,1.1.16,1.1.17

M 9/2: Labor Day Holiday

W 9/4: 1.2 The integers: 1.2.3,1.2.4,1.2.6,1.2.9,1.2.12

M 9/9: 1.2 The integers: 1.2.14,1.2.16,1.2.17,1.2.18,1.2.26

W 9/11: 1.3 Equivalence relations and factor sets: 1.3.3,1.3.9,1.3.12,1.3.19

M 9/16: 1.4 Groups and morphisms of groups: 1.4.3,1.4.4,1.4.5

W 9/18: 1.4 Groups and morphisms of groups 1.4.6,1.4.7,1.4.8,1.4.11,1.4.13

M 9/23: 1.5 Subgroups and normal subgroups: 1.5.3,1.5.4,1.5.6,1.5.8

W 9/25: 1.5 Subgroups and normal subgroups: 1.5.13,1.5.15

M 9/30: Review

W 10/2: Exam I

M 10/7: 1.6 Factor groups: 1.6.2,1.6.4

W 10/9: 1.6 Factor groups: 1.6.16,1.6.17

M 10/14: 1.7 Finite groups and the Lagrange theorem: 1.7.3,1.7.7,1.7.8,1.7.10,1.7.11,1.7,12

W 10/16: 1.7 Finite groups and the Lagrange theorem: 1.7.14,1.7.19,1.7.20,1.7.21

M 10/21: Review

W 10/23: Exam II

M 10/28: 2.1 Rings and morphisms of rings: 2.1.2, 2.1.4

,2.1.6,2.1.7,2.1.8,2.1.13

W 10/30: 2.2 Subrings and ideals: 2.2.2,2.2.3,2.2.5,2.2.6

M 11/4: 2.2 Subrings and ideals: 2.2.7,2.2.8,2.2.10,2.2.12

W 11/6: 2.3 Factor rings: 2.3.4,2.3.6,2.3.8,2.3.10,2.3.11

M 11/11: Veterans Day

W 11/13: 2.3 Factor rings: 2.3.13,2.3.14,2.3.15,2.3.16

M 11/18: 2.4 Prime and maximal ideals: 2.4.2,2.4.3,2.4.5,2.4.10,2.4.12,2.4.15

W 11/20: 2.5 Rings of fractions: 2.5.2,2.5.10,2.5.11,2.5,12

M 11/25: 2.6 Polynomial rings: 2.6.3,2.6.6,2.6.7,2.6.9

W 11/27: 2.6 Polynomial rings: 2.6.10,2.6.11,2.6.12

M 12/2: Review

W 12/4: Exam III

M 12/9: Review

Final examination: Wednesday, December 11, 11:30 AM - 1:30 PM.

Important Dates:

August 26	Monday	Classes Begin
August 26-September 10	Monday-Tuesday	Late Registration, Add/Drop (fees due 48 hours after registration)
September 2	Monday	Labor Day Holiday (No Classes, Campus Closed)
September 6	Friday	Instructor Drop Deadline
September 11	Wednesday	Fall Convocation
September 11-12	Wednesday-Thursday	Late Registration, Add/Drop (fees due at time of registration)
September 12	Thursday	Credit/No Credit and Audit Grading Deadline
September 12	Thursday	Last Day to Drop from FT to PT Status with Refund
September 15	Sunday	Fall 2019 Graduation Application Deadline (with late fee)
September 23	Monday	Drop Without Record of Enrollment Deadline
September 23	Monday	Student Census
September 24-November 15	Tuesday-Friday	Serious and Compelling Reason Required to Drop/Withdraw
October 1	Tuesday	Spring 2020 Graduation Application - Regular Deadline
October 17	Thursday	The Great California ShakeOut at 10:17 am
October 21-January 20	Monday-Monday	Spring 2020 Registration
October 28	Monday	Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees
October 29-December 31	Tuesday-Tuesday	Winter 2020 Registration
November 11	Monday	Veterans Day Holiday (No Classes, Campus Closed)
November 16-December 6	Saturday-Friday	Serious Accident/Illness Required to Drop/Withdraw
November 28	Thursday	Thanksgiving Day Holiday (No Classes, Campus Closed)
November 29-December 1	Friday-Sunday	Thanksgiving Break (No Classes, Campus Closed - Not a Holiday)
December 2-February 13	Monday-Thursday	Spring Intersession 2020 Registration (Pell Grant eligible students)
December 2-May 20	Monday-Wednesday	Spring Intersession 2020 Registration (Students Not Using Pell Grant)
December 9	Monday	Last Day of Scheduled Classes
December 10-16	Tuesday-Monday	Final Examination
December 10	Tuesday	Grade Submission Begins
December 17	Tuesday	Evaluation Day
December 19	Thursday	Spring 2020 Graduation Application Deadline (with late fee)
December 19, 3 pm	Thursday	Final Grades Due (Extended Education grades always due 72 hours after course end date)