Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SEZER SORGUN, HAYRULLAH ÖZİMAMOĞLU, HATİCE TOPCU, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| This course is designed to teach basic mathematical topics and mathematical proofs. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Learn function definition and properties. Find the composite and inverse function. Learn the concept of the permutation in a basic sense. Learn the relationship between function and operation. |
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. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-2 | Learn the construction of the natural numbers and integers. Use the division properties of integers. Use induction method for proving. |
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. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-3 | Rasyonel ve Reel sayıların nasıl yapılandırıldıklarını öğrenir. |
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. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| LO-4 | Learn the definitons of the finite, infinite, countable and uncountable sets. Learn the cardinality concept. |
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. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Functions, one-to-one and onto functions, Composite of the functions, inverse function, Permutations, Operations, Construction of the natural numbers, Construction of the integers, Division properties of integers, Proving by induction, Construction of the rational numbers, Construction of the real numbers, Finite and infinite sets, Countable and uncountable sets, Cardinality | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Functions, one-to-one and onto functions | Lecturing |
| 2 | Composite of the functions, inverse function | Lecturing |
| 3 | Permutations | Lecturing |
| 4 | Operations | Lecturing |
| 5 | Construction of the natural numbers | Lecturing |
| 6 | Construction of the integers | Lecturing |
| 7 | Division properties of integers | Lecturing |
| 8 | mid-term exam | |
| 9 | Proving by induction | Lecturing |
| 10 | Construction of the rational numbers | Lecturing |
| 11 | Construction of the real numbers | Lecturing |
| 12 | Finite and infinite sets | Lecturing |
| 13 | Countable and uncountable sets | Lecturing |
| 14 | Cardinality | Lecturing |
| 15 | Preparation for the final exam | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Soyut matematik, Ahmet Arıkan, Sait Halıcıoğlu, Palme yayınevi, 2016 | |
| Required Course instruments and materials | ||
| Lecture notes, book | ||
| 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 | 3 | 14 | 42 |
| b) Search in internet/Library | 3 | 14 | 42 |
| 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 | 2 | 1 | 2 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 2 | 4 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 150 | ||