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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 | PROF. DR. Sultan YAMAK, | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of this course is to introduce the essential algebraic structures(semigroups, monoids, groups) by elementary examples. As special examples of groups, the symmetric group Sn and the group Zn are introduced in detail. Also the construction of numbers(natural numbers, integers, rational numbers) is given. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | understand the concepts of 'binary operation' and 'algebraic structure' | 1,2,3,4,5,6,7,8 | 1 | | LO - 2 : | learn the constructions of numbers | 1,2,3,4,5,6,7,8 | 1 | | LO - 3 : | realize the importance and the form of the symmetric group | 1,2,3,4,5,6,7,8 | 1 | | LO - 4 : | understand the concept 'the group Zn' by many examples | 1,2,3,4,5,6,7,8 | 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 | | |
| Binary operations, Algebraic structures, Groups, Constructions of numbers, Natural numbers, Integers, Rational numbers, Symmetric groups, The group Zn. |
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| 1 | Hungerford, T.W., Algebra, Springer, 1974. | | | 2 | Lang, S. , Algebraic Structures, Addison-Wesley Pub. Co., 1967. | | | |
| 1 | Alpay, Ş, Karakaş H: İ., An Introduction to Modern Mathematics, METU , 1979. | | | 2 | Arıkan, A., Halıcıoğlu, S., Soyut Matematik, Palme Yayıncılık, 2012. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 20/11/2021 | 2 | 50 | | End-of-term exam | 16 | 10/01/2021 | 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 | 6 | 14 | 84 | | Arasınav için hazırlık | 8 | 1 | 8 | | Arasınav | 2 | 1 | 2 | | Ödev | 2 | 6 | 12 | | Dönem sonu sınavı için hazırlık | 6 | 1 | 6 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 170 |
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