 |
Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MT102B | Pure Mathematics | Compulsory | 1 | 2 | 6 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | The aim of the course is to comprehend students on basic concepts of mathematics in our era. Enable them to obtain knowledge on postulates, logic, sets,correlations and functions | | Name of Lecturer(s) | | Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN | | Learning Outcomes | | 1 | 1. Define basic mathematical concept (axiom, theorem, proof) | | 2 | 2. Comprehend mathematical proof methods and understand logic | | 3 | 3. Define the set concept and knows the operations defined on the sets and their features | | 4 | 4. Know relation and their types, applies relation, relation types and their features | | 5 | 5. Know function concept, define and recognize function types and apply compound fuctions and inverse functions | | 6 | 6. Develop a natural language to solution problem |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Explanation of axiom and theorem concepts; direct and indirect mathematical proof methosds, axioms and theorems about symbolic logic; practices; postulates, uniform and ontic quantifiers, explanation of set concept, operations, onto and one by one functions, inverse functions, even-odd functions, sign functions, absolute value, exercises about functions. | | Weekly Detailed Course Contents | |
| 1 | Postulates and properties | | | | 2 | Proof and methods of proof | | | | 3 | Open statements and quantifier | | | | 4 | Set theory and dual operations | | | | 5 | Union, intersection and difference of sets | | | | 6 | Family of sets | | | | 7 | Cartesian products of sets | | | | 8 | Correlations | | | | 9 | Mid term exam | | | | 10 | Equivalance Relationand Ordered relation | | | | 11 | Functions | | | | 12 | One to one and onto functions | | | | 13 | Odd, even and periodic functions | | | | 14 | Maximum and minimum elements | | | | 15 | Supremum ve infremum | | | | 16 | Final exam | | |
| | Recommended or Required Reading | | Akkaş, S., Hacısalihoğlu, H.H., Özel, Z., Sabuncuoğlu, A., 2002, Soyut Matematik, Ankara.
Özer, O., Çoker, D., Taş, K. , 1996, Soyut Matematik, İzgi Yayınevi.
Çallıalp, F. 2005; Örneklerle Soyut MatematikI, Birsen Yayınevi, İstanbul
Additional references:
S. Akkaş, H. H. Hacısalihoğlu, Z. Özel, A. Sabuncuoğlu, 1984, Soyut Matematik, Gazi Üniversitesi Yayınları.
Karaçay, Timur. Başkent üniversitesi ders notları.http://moodle.midas.baskent.edu.tr/course/view.php?id=220
| | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 1 | 1 | | Attending Lectures | 14 | 3 | 42 | | Self Study | 14 | 3 | 42 | | Individual Study for Mid term Examination | 7 | 3 | 21 | | Individual Study for Final Examination | 14 | 5 | 70 | |
| Contribution of Learning Outcomes to Programme Outcomes | | | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |
|
|