| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | FMA718 | SET THEORY | Zorunlu | 1 | 2 | 6 |
|
| Dersin Seviyesi |
| Doktora |
| Dersin Amacı |
| The aim of the course is
• to teach sets
• to equip students with the knowledge and skills of operations of sets
• to develop the ability of the students to pure maths
• to give students the opportunity to think
• to enable students develop function knowledge
• to allow students become proficient in set theory
• to give the students basic information about well ordered sets
• to provide the basic knowledge about ordinals
• to introduce the students with cardinals |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| Yrd. Doç. Dr. Erdal ÜNLÜYOL |
| Öğrenme Çıktıları |
| 1 | To have the knowledge and skills of set theory | | 2 | Effectively be able to think | | 3 | Able to explain relations ordinals and cardinals | | 4 | Demonstrate the ability to pure mathematics | | 5 | To have knowledge about set theory | | 6 | Receive responsibilities as an individual and a team member to develop the set theory knowledge |
|
| Öğrenim Türü |
| Formal Education |
| Dersin Ön Koşulu Olan Dersler |
| None |
| Ders İçin Önerilen Diğer Hususlar |
| None |
| Dersin İçeriği |
| • Natural Numbers, Integers, Rational Numbers and Real Numbers
• Well-Ordered Sets
• Ordinals
• Cardinals
• Axiom of Choice and Zorn’s Lemma
• Continuum Hypothesis
|
| Haftalık Ayrıntılı Ders İçeriği |
|
| 1 | Natural Numbers
| | | | 2 | Integers
| | | | 3 | Rational Numbers
| | | | 4 | Real Numbers
| | | | 5 | Functions
| | | | 6 | Well-Ordered Sets
| | | | 7 | Ordinals
| | | | 8 | Midterm Exam
| | | | 9 | Cardinals
| | | | 10 | Addition of Cardinals
| | | | 11 | Multiplication of Cardinals
| | | | 12 | Axiom of Choice and Zorn’s Lemma
| | | | 13 | Axioms of Set Theory – ZFC
| | | | 14 | Continuum Hypothesis
| | | | 15 | Banach-Tarski Paradox
| | | | 16 | Final Exam | | |
|
| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
| Nurettin Ergun, Kümeler Teorisine Giriş, Nobel Yayıncılık, 2005. |
| Planlanan Öğrenme Aktiviteleri ve Metodları |
|
| Değerlendirme | |
| TOPLAM | 0 | |
| TOPLAM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | Turkish | | Staj Durumu | | None |
|
| İş Yükü Hesaplaması |
|
| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Makeup Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 5 | 70 |
| Problem Solving | 8 | 5 | 40 |
| Self Study | 14 | 5 | 70 |
| Individual Study for Mid term Examination | 10 | 6 | 60 |
| Individual Study for Final Examination | 10 | 6 | 60 |
|
| Program ve Öğrenme Çıktıları İlişkisi |
| ÖÇ1 | 4 | 5 | 4 | 4 | 5 | 4 | 5 | | ÖÇ2 | 4 | 4 | 5 | 4 | 5 | 5 | 4 | | ÖÇ3 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | | ÖÇ4 | 4 | 4 | 5 | 4 | 5 | 4 | 4 | | ÖÇ5 | 4 | 4 | 4 | 4 | 5 | 4 | 5 | | ÖÇ6 | 4 | 4 | 5 | 4 | 4 | 5 | 4 |
|
| * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
|
|
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|