Information Package / Course Catalogue
| Course Code | : İMÖ156 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 0 |
| Credit | : 2 |
| Lab | : 0 |
| ECTS | : 5 |
To provide pre-service teachers to construct the basic concepts of mathematics such as logic, proof, set, relation, function, permutation and operations and improve procedural and conceptual skills for these concepts.
Symbolic logic, quantifiers and proof techniques. Sets, algebra of sets. Family of set, fragmentation of family of sets. Product sets, relations. The inverse of the relation, combination of the relations. Equivalence relations and equivalence classes. Sort relations. Partial-ordered set, fully-ordered set. Functions, one-to-one functions and surjective functions, combination of functions, inverse of functions. Permutations, operations.
| Lec. Serhan ULUSAN |
| 1. | Students will explain the properties of symbolic logic. |
| 2. | Students will explain the methods of direct and indirect proof. |
| 3. | Students will express the set concept and solve the related questions. |
| 4. | Students will explain the relation and properties of relation. |
| 5. | Students will explain the properties of equivalence and order relations. |
| 6. | Students will explain the function concept and types, and solve related questions. |
| 7. | Students will explain the operation concept. |
| 1. | Sait Akkaş, H. Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu, Soyut Matematik, 2010. |
| 2. | Orhan Özer, Kenan Taş, Doğan Çoker, Soyut Matematik, Bilim Yayınevi, 2010. |
| 3. | Basri Çelik; Soyut Matematik-1, Dora Yayıncılık, 2010. |
| 4. | Fethi Çallıalp, Soyut Matematik, Birsen Yayıncılık, 2009. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 2 | 42 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 23 | 2 | 25 |
| Final Examination | 1 | 28 | 2 | 30 |
| TOTAL WORKLOAD (hours) | 125 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | |
OÇ-1 | 4 | 4 | 5 | 5 | 1 | 4 | 1 | 1 | |||||
OÇ-2 | 3 | 4 | 5 | 3 | 1 | 3 | 1 | 1 | |||||
OÇ-3 | 4 | 3 | 4 | 5 | 2 | 4 | 1 | 1 | |||||
OÇ-4 | 4 | 4 | 5 | 5 | 3 | 4 | 1 | 1 | |||||
OÇ-5 | 3 | 5 | 5 | 5 | 3 | 4 | 1 | 1 | |||||
OÇ-6 | 4 | 4 | 3 | 5 | 3 | 3 | 1 | 1 | |||||
OÇ-7 | 4 | 4 | 5 | 4 | 2 | 4 | 2 | 2 | |||||