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Abdulla Eid

 

Assistant Professor of Mathematics

University of Bahrain, College of Science

Welcome to Abstract Algebra 2 course webpage (Spring 2018)

The official course syllabus can be downloaded from here.

Course Description

This is an introductory ring and field theory. We will focus in abstracting known concepts and facts about the integers and rationals to the concept of rings and fields. The course is divided into 5 major parts:

  • Part 6: Rings, integral domains, Ideals, homomorphisms, prime and maximal ideals
  • Part 7: Polynomial rings.
  • Part 8: Principal ideal domain, Euclidean domain, unique factorization domain.
  • Part 9: Field extension, finite fields, geometric construction.
  • Part 10: Galois Theory.

Official topics include (from the catalog):
Rings and their homomorphisms. Ideals. Residue class rings. Fundamental theorem of ring homomorphisms. Integral domains. Fields. Prime and maximal ideals. Factorization in integral domains. Gauss theorem. Euclidean and Principal ideal domains. Field. Algebraic, Normal, and finite extension.

Course Information

  • Course code and title: MATHS312: Abstract Algebra 2
  • Credit hours: 3 credit hours
  • Pre– requisite: MATHS 311: Abstract Algebra 1
  • 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/Spring2018/MATHS312.html

Instructor Information

  • Instructor Name: Dr. Abdulla Eid
  • Office: S41-2098
  • Phone: (+973) 1743–7590
  • Office Hours:
    • Sundays, Tuesdays:  11:00 AM – 11:20 AM.
    • Mondays:  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.

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: 30%
  • Tests: 30%
  • Final Exam: 40%

You can check your grades by clicking here.

Exam Scedules

  • Test 1: March 29, 2018. Topics: TBA
  • Test 1: May 10, 2018. Topics: TBA
  • Final Exam: May 30, 2018 from 11:30 AM -- 1:30 PM at TBA. Topics: All sections. ( Sample final exam )

Important Dates

  • Feb 8, 2018: First day of the semester (Instruction begins)
  • Feb 22, 2018: Last day to drop courses without a `W` grade
  • April 1 -- 5, 2018: The mid semester break
  • May 3, 2018: Last day to withdraw with a `W` grade
  • May 24, 2018: Last day of instruction
  • May 30, 2018: 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.