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| MAT1000 | Basic Algebraic Structures | 4+0+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Doç. Dr. Ümit ERTUĞRUL | | Co-Lecturer | Assoc. Prof. Dr. Osman Kazancı | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | To teach basic concepts of mathematics. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | understand fundamental concepts of Abstract Mathematics | 1,3,4,6,7 | 1 | | LO - 2 : | obtain information about fundamental problems of Abstract Mathematics and methods of their solutions | 1,2,4,5,6,7 | 1 | | LO - 3 : | to be able to apply concepts and methods of Abstract Mathematics in different areas of Mathematics | 1,2,4,5,7,8 | 1 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Chains, lattices, boole algebras, well ordered sets, natural numbers, integers, rational numbers, finite and infinite sets, countable and
uncountable sets, cardinal arithmetic. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | chains and lattices | | | Week 2 | complete lattices and boolean algebra | | | Week 3 | well-ordered sets | | | Week 4 | Natural numbers | | | Week 5 | Operations on natural numbers and ordering | | | Week 6 | Integers | | | Week 7 | Operations on integers and ordering | | | Week 8 | Rational numbers | | | Week 9 | Mid term exam | | | Week 10 | Operations on rational numbers and ordering | | | Week 11 | Well ordering principle and axiom of choice | | | Week 12 | Finite and infinite sets | | | Week 13 | Countable sets | | | Week 14 | Uncountable sets | | | Week 15 | Cardinal arithmetic | | | Week 16 | End-of-term exam | | | |
| 1 | Özer O. , Çoker D. , Taş K. , 1996, Soyut Matematik, 3. baskı, Izgi Yayınevi, Ankara. | | | |
| 1 | S. Akkaş, H. H. Hacısalihoğlu, Z. Özel, A. Sabuncuoğlu, 1984,Soyut Matematik, Gazi Üniversitesi Yayınları. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 09/04/2014 | 2 | 50 | | End-of-term exam | 17 | 04/06/2014 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 4 | 14 | 56 | | Arasınav için hazırlık | 6 | 1 | 6 | | Arasınav | 2 | 1 | 2 | | Kısa sınav | 1.3 | 1 | 1.3 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 133.3 |
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