Category-theoretic language. Review of groups, rings, modules. Applications of Zorn's Lemma, including the algebraic closure of a field. Galois theory.
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| Dönem | Course CPA | |
|---|---|---|
| 2025-2026 Fall | 3.72 | 1 sec · 15 öğr |
| 2024-2025 Fall | 3.89 | 1 sec · 9 öğr |
| 2020-2021 Fall | 3.55 | 1 sec · 8 öğr |
| 2018-2019 Spring | 3.25 | 1 sec · 12 öğr |
| 2017-2018 Fall | 3.12 | 1 sec · 11 öğr |
| 2016-2017 Fall | 4.00 | 1 sec · 3 öğr |
| 2015-2016 Fall | 3.51 | 1 sec · 11 öğr |
| 2014-2015 Fall | 3.47 | 1 sec · 7 öğr |
| 2013-2014 Fall | 3.40 | 1 sec · 6 öğr |
| 2012-2013 Fall | 3.20 | 1 sec · 7 öğr |
Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.
Submit homework solutions and take the midterm exam.
Review of groups and basic properties Subgroups and Lagrange’s theorem Normal subgroups and isomorphism theorems Solvable groups and Jordan-Hölder theorem Group actions and Sylow theorems Symmetric and dihedral groups The structure of abelian groups Rings and basic properties Ideals and Chinese remainder theorem Zorn’s lemma with an application, integral domains Unique factorization, principal ideal and Euclidean domains Localization Polynomial rings and Eisenstein’s irreducibility criterion Introduction to module theory ECTS - Workload Table: Activities Number Hours Workload Final exam 1 2 2 Preparation for Midterm exam 2 10 20 Preparation for Final exam 1 15 15 Homework 7 6 42 Individual or group work 14 2 28 Course hours 14 3 42 Midterm exam 2 2 4 Total Workload: 153 Total Workload / 30: 153 / 30 5.1 ECTS Credits of the Course: 5