| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT1062011131 | ABSTRACT MATHEMATİCS -II | Compulsory | 1 | 2 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The aim of the course is
• to give and teach the basic concepts to students.
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| Name of Lecturer(s) |
| Yrd. Doç. Dr. Süleyman ŞENYURT |
| Learning Outcomes |
| 1 | Students will learn the basic concepts of abstract mathematics. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| Yok |
| Recommended Optional Programme Components |
| Week 1 Geometric examples to axiomatic systems
Week 2 Axiomatic algebraic structure samples and properties
Week 3 Axiomatic algebraic structure samples and properties
Week 4 Natural numbers,
Week 5 Integer,
Week 6 Rational numbers
Week 7 Irrational numbers
Week 8 Midterm exam
Week 9 Real numbers and axioms for complex numbers
Week 10 The density of rational numbers in the real numbers
Week 11 Divisibility theorems
Week 12 Finite sets
Week 13 Infinite sets
Week 14 Countable sets
Week 15 noncountable of real numbers
Week 16 Final exam
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| Course Contents |
| • Geometric examples to axiomatic systems
• Axiomatic algebraic structure samples and properties
• Natural numbers
• Integers
• Rational numbers
• Irrational numbers
• Real numbers and axioms for complex numbers
• The density of rational numbers in the real numbers
• Divisibility theorems
• Finite set
• Infinite set
• Countable set
• Noncountable of real numbers |
| Weekly Detailed Course Contents |
|
| 1 | Geometric examples to axiomatic systems
| | | | 2 | Axiomatic algebraic structure samples and properties
| | | | 3 | Axiomatic algebraic structure samples and properties
| | | | 4 | Natural numbers,
| | | | 5 | Integer,
| | | | 6 | Rational numbers
| | | | 7 | Irrational numbers
| | | | 8 | Midterm exam
| | | | 9 | Real numbers ve axioms for complex numbers
| | | | 10 | The density of rational numbers in the real numbers
| | | | 11 | Divisibility theorems
| | | | 12 | Finite sets
| | | | 13 | Infinite sets
| | | | 14 | Countable sets
| | | | 15 | noncountable of real numbers
| | | | 16 | Final exam | | |
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| Recommended or Required Reading |
| Sait Akkaş, H.Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu, Soyut Matematik, Gazi Üniversitesi, Ankara, 1988.
Orhan Özer, Doğan Çoker, Kenan Taş, Soyut Matematik, Bilim Yayıncılık, Ankara 1999
Şafak Alpay, H.İbrahim Karakaş, An introduction to Number Systems and Algebraic Structures, ODTÜ Mat. Vakfı, 1996
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| Planned Learning Activities and Teaching Methods |
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| 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) | | Yok |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Makeup Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 4 | 56 |
| Problem Solving | 10 | 2 | 20 |
| Self Study | 10 | 2 | 20 |
| Individual Study for Mid term Examination | 6 | 5 | 30 |
| Individual Study for Final Examination | 4 | 5 | 20 |
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| Contribution of Learning Outcomes to Programme Outcomes |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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