| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | FMA729-15 | ALGEBRAIC NUMBER OF BODIES | Compulsory | 1 | 1 | 6 |
|
| Level of Course Unit |
| Third Cycle |
| Objectives of the Course |
| To extend the results of basic number theory to Algebraic number fields |
| Name of Lecturer(s) |
| Assist. Prof. Dr. Yıldıray ÇELİK |
| Learning Outcomes |
| 1 | learn some extensions of number theory to Algebraic number fields |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Algebraic numbers, basis of an ideal, prime ideals, factorization into prime ideals |
| Weekly Detailed Course Contents |
|
| 1 | Algebraic number fields, conjugate fields
| | | | 2 | The field polynomial of an element of an Algebraic number field
| | | | 3 | Discriminant of a set of elements
| | | | 4 | Basis of an Ideal
| | | | 5 | Prime ideals in rings of integers
| | | | 6 | Integral basis
| | | | 7 | Integral basis
| | | | 8 | Midterm exam
| | | | 9 | Minimal integers
| | | | 10 | Some integral basis in cubic fields
| | | | 11 | Index and minimal index
| | | | 12 | Integral basis of a cyclotomic field
| | | | 13 | Dedekind domain, Ideals in a Dedekind domain
| | | | 14 | Factorization into Prime ideals
| | | | 15 | Order of ideals, generators of ideals in a Dedekind domain
| | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| Alaca, Ş. Kenneth, W.S. 2004; Introductory Algebraic Number Theory, CUP
Serge, L. 1986; Algebraic Number Theory, Springer Verlag, New York |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Quiz | 10 | 1 | 10 |
| Attending Lectures | 14 | 3 | 42 |
| Practice | 11 | 2 | 22 |
| Problem Solving | 11 | 3 | 33 |
| Self Study | 14 | 1 | 14 |
| Individual Study for Homework Problems | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 2 | 3 | 6 |
| Individual Study for Final Examination | 7 | 3 | 21 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|