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Abdulla Eid

 

Assistant Professor of Mathematics

University of Bahrain, College of Science

Welcome to Abstract Algebra 1 course webpage (Fall 2017)

The official course syllabus can be downloaded from here.

Course Description

This is an introductory group theory. We will focus in abstracting known concepts and facts about the natural numbers and the integers to the concept of groups. The course is divided into 5 major parts:

  • Part 0: Numbers, prime factorization, gcd, lcm, division algorithm, modular arithmetic.
  • Part 1: Binary operations, groups, elementary properties of groups, subgroups.
  • Part 2: Cyclic groups, group of permutations, symmetric groups.
  • Part 3: Cosets, Normal subgroups, Lagrange theorem, factor groups.
  • Part 4: Group homomorphisms, isomorphisms theorems.
  • Part 5: Direct products, fundamental theorem of finite abelian groups, Sylow`s theorems.

Official topics include (from the catalog):
Groups. Homomorphisms. Subgroups. Cyclic Groups. Permutation Groups, Groups of Symmetries. Lagrange’s Theorem. Normal Subgroups. Quotient Groups. Fundamental Theorem of Group Homomorphisms. Conjugacy. Sylow’s Theorems. Direct Products.

Course Information

  • Course code and title: MATHS311: Abstract Algebra 1
  • Credit hours: 3 credit hours
  • Pre– requisite: MATHS 211: Linear Algebra
  • Class time and place:
    • Section 1: Sunday, Tuesday, and Thursday 09:00 AM –09:50 AM in S41-065.
  • Course webpage: http://www.abdullaeid.net/teaching/Fall2017/MATHS311.html

Instructor Information

  • Instructor Name: Dr. Abdulla Eid
  • Office: S41-2098
  • Phone: (+973) 1743–7590
  • Office Hours:
    • Sundays, Tuesdays:  8:20 AM – 8:50 AM.
    • Mondays, Wednesdays:  9:00 AM – 10:15 AM.
  • Email: aeid (at) uob.edu.bh

Textbook

References

  1. J. Gallian, Contemporary abstract algebra, 2016, 9th Edition, Cengage Learning, ISBN--13: 978-1305657960.
  2. D.S. Dummit and R.M. Foote, Abstract algebra, 2004, 3rd Edition, Wiley, ISBN--13: 978-8126532285.
  3. T.W. Hungerford, Abstract algebra: An introduction, 2012, 3rd Edition, Cengage Learning, ISBN--13: 978-1111569624.

Class Notes

Homework

A set of homework problems will be distributed regularly during the semester (around 14 sets). Your instructor will tell you exactly which problem set to turn back for grading. However, all these problems are required for the tests, so take them seriously.

Project

Due by December 24, 2017.

Assesment

Your final course grade will be based on two mid-term exams, two quizzes, final exam, and online homework. The grade distribution is as follows:

  • Homework: 25%
  • Project: 10%
  • Midterm Exam (1): 25%
  • Final Exam: 40%

You can check your grades by clicking here.

Exam Scedules

  • Test 1: TBA. Topics: TBA
  • Project: Written Report by Dec 24, 2017
  • Final Exam: Saturday January 15, 2018 from 11:30 AM -- 1:30 PM at TBA. Topics: All sections. ( Sample final exam )

Important Dates

  • Sept 17, 2017: First day of the semester (Instruction begins).
  • Sept 28, 2017: Last day to drop courses without a `W` grade.
  • Nov 5 -- 9 , 2017: Mid semester break.
  • Dec 7, 2017: Last day to withdraw with a `W` grade.
  • Jan 4, 2017: Last day of instruction.
  • Jan 15, 2017: Final exam.

Course Policies

Academic Integrity

Cheating and plagiarism are strictly prohibited and will result in serious consequences. In particular, cheating or plagiarism may result in an ”F” for the course and be reported to the dean of students affairs for further action. Using of any outside materials, looking at another student’s exam or using cell phones might be considered as a cheating (whether or not you get benefit from it). For more information, please refer to the university regulations handbook (Article 75).

The Classroom Decorum

The classroom environment should be conductive to learning by all. please no chit-chat talks during the class. Cell phones and all electronic devices should be turned off and put away during the class.