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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | IMO1022013331 | ABSTRACT MATHEMATICS | Compulsory | 1 | 2 | 7 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | To enable the student to comprehend the foundations of mathematics, provide basic definitions, facts and tools necessary for his further studies in mathematics. | | Name of Lecturer(s) | | Doç. Dr. Cemal Belen | | Learning Outcomes | | 1 | Comprehends properties related to propositions | | 2 | Knows the mathematical methods of proofs and uses them in the proofs of some propositions | | 3 | Describes the concept of set, expresses the operations on sets and knows their properties | | 4 | Learns the definition of relation and types of relations and expresses them with examples | | 5 | Knows the definition of function, describes the concepts of injective, surjective, inverse and composite functions and gives examples concerning these concepts |
| | Mode of Delivery | | Formal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Symbolic logic and proof methods, Sets, Families of sets, Partition of families of sets, Product sets, Relations, Inverse of relations, Composition of relations, Equivalence relations and equivalence classes, Order relations, Partially ordered set, Totally ordered set, Functions, Injective and surjective functions, Composition of functions, Inverses of functions, Permutations, Operations. | | Weekly Detailed Course Contents | |
| 1 | Symbolic logic and proof methods | | | | 2 | Symbolic logic and proof methods | | | | 3 | Symbolic logic and proof methods | | | | 4 | Sets, Algebra of sets | | | | 5 | Sets, Algebra of sets, Families of sets | | | | 6 | Partitions of families of sets, Product of sets | | | | 7 | Relations, Inverse and composition of relations | | | | 8 | Midterm exam | | | | 9 | Order relations | | | | 10 | Partially and totally ordered sets | | | | 11 | Partially and totally ordered sets | | | | 12 | Functions | | | | 13 | Injective and surjective functions, Inverses of functions, Composition of functions | | | | 14 | Operations | | |
| | Recommended or Required Reading | | Fethi Çallıalp, Soyut Matematik, Birsen Yayınevi, 2012. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 2 | 2 | | Final Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 3 | 42 | | Problem Solving | 14 | 2 | 28 | | Self Study | 14 | 2 | 28 | | Individual Study for Mid term Examination | 1 | 40 | 40 | | Individual Study for Final Examination | 1 | 40 | 40 | | 14 | 2 | 28 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 4 | 3 | 3 | 3 | 4 | 4 | 3 | 3 | 4 | 2 | 2 | 4 | 3 | 3 | 5 | 3 | | LO2 | 4 | 4 | 3 | 1 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 4 | 5 | 3 | 4 | 5 | | LO3 | 4 | 3 | 4 | 3 | 4 | 4 | 3 | 3 | 3 | 3 | 4 | 2 | 2 | 2 | 4 | 5 | | LO4 | 4 | 4 | 2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 4 | 3 | | LO5 | 5 | 4 | 4 | 3 | 4 | 3 | 4 | 3 | 3 | 4 | 3 | 2 | 4 | 5 | 5 | 3 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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