Instructor: |
Prof. Dr. Kazım İlhan İkeda |

Classroom: |
B0522 (Engineering Building) |

Book: |
Abstract Algebra, Dummit and Foote, John Wiley & Sons, Inc., 3rd Edition |

Week |
Topic |
Lecturer* |
Day |
Note |

1 | 7.1. (Ring Theory:) Basic Definitions and Examples (pg. 223) 7.2. Examples: Polynomial Rings, Matrix Rings, and Group Rings (pg. 233) |
Sevan Kazazyan | September 19, 2016 | |

2 | 7.3. Ring Homomorphisms an Quotient Rings (pg. 239) 7.4. Properties of Ideals (pg. 251) |
Sevan Kazazyan | September 26, 2016 | |

3 | 7.5. Rings of Fractions (pg. 260) 7.6. The Chinese Remainder Theorem (pg. 265) |
Serdar Nair | October 3, 2016 | |

4 | 8.1. Euclidean Domains (pg. 270) 8.2. Principal Ideal Domains (P.I.D.'s) (pg. 279) |
Serdar Nair | October 10, 2016 | |

5 | 8.3. Unique Factorization Domains (U.F.D.'s) (pg. 283) 9.1. (Polynomial Rings:) Definitions and Basic Properties (pg. 295) |
Başak Hanedar | October 17, 2016 | |

6 | 9.2. Polynomial Rings over Fields I (pg. 299) 9.3. Polynomial Rings that are Unique Factorization Domains (pg. 303) |
Başak Hanedar | October 24, 2016 | |

7 | 9.4 Irreducibility Criteria (pg. 307) 9.5 Polynomial Rings over Fields II (pg. 313) |
Faruk Badak | October 31, 2016 | |

8 | 9.6 Polynomials in Several Variables over a Field and Gröbner Bases (pg. 315) 13.1. (Field Theory:) Basic Theory of Field Extensions (pg. 510) |
Faruk Badak | November 7, 2016 | |

9 | 13.2. Algebraic Extensions (pg. 520) 13.3. Classical Straightedge and Compass Constructions (pg. 531) |
Barış Akalın | November 21, 2016 | |

10 | 13.4. Splitting Fields and Algebraic Closures (pg. 536) 13.5. Separable and Inseparable Extensions (pg. 545) |
Barış Akalın | November 28, 2016 | |

11 | 13.6. Cyclotomic Polynomials and Extensions (pg. 552) 14.1. (Galois Theory:) Basic Definitions (pg. 558) |
Devrim Çatak | December 5, 2016 | |

12 | 14.2. The Fundamental Theorem of Galois Theory (pg. 567) 14.3. Finite Fields (pg. 585) |
Devrim Çatak | December 12, 2016 | |

13 | 14.4. Composite Extensions and Simple Extensions (pg. 591) 14.5. Cyclotomic Extensions and Abelian Extensions over \(\mathbb{Q}\) (pg. 596) |
Ahmet Coşar | December 19, 2016 | |

14 | 14.6. Galois Groups of Polynomials (pg. 606) 14.7. Solvable and Radical Extensions: Insolvability of the Quintic (pg. 625) |
Ahmet Coşar | December 26, 2016 | |

15 | 14.8. Computation of Galois Groups over \(\mathbb{Q}\) (pg. 640) 14.9. Transcendental Extensions, Inseparable Extensions, Infinite Galois Groups (pg. 645) |
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***:** The following presenter must be ready due to the possible absence of the actual presenter.

September 5-9, 2016 | Course Registration |

September 26-28, 2016 | Course Add/Drop |

October 18, 2016 | Withdraw from the Course |

October 28, 2016 | Half day (Republic's Day) |

November 14-18, 2016 | Publicity Week (Holiday) |

January 6, 2017 | Last Day of the Course |

January 12, 2017 | Last Day for Entering Grades |