Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | SAMED ÖZKAN (ozkans@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of the course is to explain the concept of set and some fundamental concepts, to show that set theory is the foundation of Mathematics, to create the ability of Mathematical idea and commend. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Understand the concept of set and its properties. Learn and can apply the fundamental proving techniques like induction. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| LO-2 | Know the concept of relation and its properties, equivalence and order relations. Can find maximal and minimal elements of a partially ordered set. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| LO-3 | Understand the concepts of cartesian product and function. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| The Concept of Set, Set Operations, Logical Axioms, Peano Axioms and Natural Numbers, Natural Numbers Arithmetic, Proving Techniques, Induction, Relations, Equivalence and Order Relations, Maximal and Minimal Elements, Order Types, Cartesian Product, Functions, Projection Mappings, Graphs. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | The Concept of Set | Lecturing |
| 2 | Set Operations | Lecturing |
| 3 | Logical Axioms | Lecturing |
| 4 | Peano Axioms and Natural Numbers | Lecturing |
| 5 | Natural Numbers Arithmetic | Lecturing |
| 6 | Proving Techniques | Lecturing |
| 7 | Induction | Lecturing |
| 8 | mid-term exam | |
| 9 | Relations | Lecturing |
| 10 | Equivalence and Order Relations | Lecturing |
| 11 | Maximal and Minimal Elements | Lecturing |
| 12 | Order Types | Lecturing |
| 13 | Cartesian Product | Lecturing |
| 14 | Functions | Lecturing |
| 15 | Projection Mappings, Graphs | Lecturing |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | A. Nesin, Sezgisel Kümeler Kuramı, Nesin Yayınevi, 2015. | |
| 2 | N. Ergun, Kümeler Teorisine Giriş, Nobel Yayın, Ankara, 2005. | |
| 3 | A. Nesin, Aksiyomatik Kümeler Kuramı, Ders Notları, 2010. | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 4 | 14 | 56 |
| b) Search in internet/Library | 2 | 14 | 28 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 4 | 4 | 16 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 5 | 4 | 20 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 180 | ||