Information Package / Course Catalogue
| Course Code | : MAT441 |
| Course Type | : Area Elective |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 2 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The purpose of this course is to give informations about field extensions and Galois theory, and to examine the fields that contains roots of polynomials and the polynomials that admit elements of field as its roots, and to improve the ability of abstract thinking and to give ability to establish relationships between this course and the other areas of mathematics.
Field Extensions, Splitting Fiedls and Algebraic Closure, Field Isomorphisms and Extensions, Seperability, Finite Fields, Galois Theory, The Galois Group of a Polynomial, Cyclic Extensions, Cyclotomic Extensions.
| 1. | Ability to prove about field extensions and to examine given extension |
| 2. | To get splitting field for a given polynomial |
| 3. | To get splitting field for a given polynomial |
| 4. | Ability to prove main theorems about Galois theory |
| 5. | Ability to solve the Galois group of a given polynomial |
| 6. | Ability to examine cyclotomic extensions and to discuss field extensions |
| 1. | Cebir Dersleri (Lectures on Algebra), Halil İbrahim Karakaş, TUBA, 2008 |
| 2. | Algebra, Thomas W. Hungerford, Holt,Rinehart and Winston Inc. 1974 |
| 3. | Introduction to Abstract Algebra, W. Keith Nicholson, John Wiley & Sons, Inc. 1999 |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Assignment | 1 | 1 | 1 | 2 |
| Term Project | 1 | 1 | 1 | 2 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 24 | 2 | 26 |
| Final Examination | 1 | 34 | 2 | 36 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-2 | 5 | 5 | 5 | 5 | 5 | 3 | 4 | |||||||||||
OÇ-3 | 5 | 5 | 5 | 5 | 5 | 3 | 4 | |||||||||||
OÇ-4 | 5 | 5 | 5 | 5 | 5 | |||||||||||||
OÇ-5 | 5 | 5 | 5 | 5 | 5 | 3 | 4 | 5 | 4 | |||||||||
OÇ-6 | 5 | 5 | 5 | 5 | 5 | 5 | 3 | 4 | 5 | 4 | ||||||||