Syllabus

Objectives: This course aims to introduce students to two basic algebraic concepts, namely, groups, rings and fields. These concepts constitute an essential part of mathematical culture.


Textbook: Elements of Modern Algebra, J. Gilbert, L. Gilbert. Seventh edition. There are several copies available in the reserve section of library.

Supplementary Textbooks:

A first course in Abstract Algebra,  John B. Fraleigh
An Introduction to Abstract Algebra, Derek J.S. Robinson


Grading: There will be two  midterms (each one out of 100) and a final exam (out of 100). Your total grade will be calculated by the following formula:

Total grade = (Midterm 1+Midterm 2)*0.3+Final*0.4

The exam locations will all be announced from the Student Information System.


Instructors: Section 1, Ahmet İrfan Seven
Section 2, Ahmet Beyaz
Section 3, Gökhan Benli (Course coordinator)
Section 4, Mohan Lal Bhupal
Website: https://ma116.math.metu.edu.tr
Office hours: Ahmet İrfan Seven, TBA
Ahmet Beyaz, Tuesday and Thursday 10:40-11:30
Gökhan Benli, Tuesday 14:40-15:30,Thursday 14:30-15:20
Mohan Lal Bhupal, Tuesday 14:40-15:30, Wednesday 8:50-9:40
Class hours and classrooms: (Section 1) Monday 09:40-10:30, Wednesday 13:40-15:30, M104
(Section 2) Tuesday 12:40-13:30, Thursday 11:40-13:30, M13
(Section 3) Tuesday 15:40-17:30. Wednesday 12:40-13:30, M13
(Section 4) Tuesday 12:40-13:30, Thursday 11:40-13:30, M104

Weekly course plan: Below is the tentative course plan. Keep in mind that this tentative course plan is subject to change depending on our progress each week.

  • Week 1. (Feb 3) Divisibility, prime factors and GCD (Sec. 2.3, 2.4)
  • Week 2. (Feb 10) Congruence of integers, binary operations (Sec. 2.5, 1.4)
  • Week 3. (Feb 17) Binary operations, matrices, classes (Sec. 1.4, 1.6, 2.6)
  • Week 4. (Feb 24) Groups (Sec. 3.1, 3.2)
  • Week 5. (Mar 2) Subgroups, cyclic groups (Sec. 3.3, 3.4)
  • Week 6. (Mar 9) Isomorphisms, homomorphisms (Sec. 3.5, 3.6)

Midterm 1, March 16 17:40

  • Week 7. (Mar 16) Permutation groups, cosets (Sec. 4.1, 4.4)
  • Week 8. (Mar 23) Normal subgroups, quotient groups (Sec. 4.5, 4.6)
  • Week 9. (Mar 30) Rings, subrings, integral domains (Sec. 5.1, 5.2)
  • Week 10. (Apr 6) Fields, ideals (Sec. 5.2, 6.1)

Midterm 2, April 13 17:40

  • Week 11. (April 13) Quotient rings, homomorphisms (Sec. 6.1, 6.2)
  • Week 12. (Apr 20) Real and complex numbers (Sec. 7.1, 7.2)
  • Week 13. (Apr 27) Polynomials, divisibility, factorization in F[x] (Sec. 8.1,8.2, 8.3)
  • Week 14. (May 4) Zeros of a polynomial (Sec. 8.4)

Final — TBA


NA and Attendance policy: 

A student whose attendance is less than 70% AND whose midterm scores M1+M2 is less than 60 points (out of 200 points) will receive NA grade and wont be able to attend the Final.

If your two midterm scores add up to less than 25 (out of 200) points, then you shall not be able to take the final exam and get an NA grade regardless of your attendance.


Make-up policy:

No make-ups will be given without an official report. You should contact the course coordinator immediately if you are planning to take the makeup exam. Moreover, you cannot take more than one make-up exam even if you have official report.


Academic dishonesty policy: You are expected to be familiar with the university’s academic integrity guide for students. No form of academic dishonesty is tolerated. If you are caught cheating, then you will fail the course and official disciplinary action may be pursued.


Information for students with disabilities: To obtain disability-related academic adjustments and/or auxiliary aids, students with disabilities must contact the course instructor and the METU Disability Support Office as soon as possible. For further information, visit the web site http://engelsiz.metu.edu.tr.