| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Abstract Mathematic I | MAT121 | 1. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. ZAKİR DENİZ |
| Instructors |
ZAKİR DENİZ |
| Assistants | |
| Goals | To introduce the basic concepts of the symbolic logic, to introduce mathematical proof methods, To introduce the bacis mathematical subjects: sets, relations and functions. |
| Course Content | Propositions, Truth Tables, Mathematical Proof Methods, Sets, Relations, Functions. |
| Learning Outcomes |
- This course will enable one to:Have information about methods of proofs 2. Know set concept 3. Know relation,function 4. Form composition function 5. Know equivalence and order relation 6. Know partial,total and well-order relations |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Propositions, Proposition operators, truth tables. | |
| 2. Week | Quantifiers | |
| 3. Week | Mathematical proof methods and its aplications | |
| 4. Week | Sets and the operations on sets | |
| 5. Week | Sets and the operations on sets. | |
| 6. Week | Relations | |
| 7. Week | Equivalence relations. equivalence classes and partitions. | |
| 8. Week | Mid-term Exam | |
| 9. Week | Partial and total order relations | |
| 10. Week | Maximal and minimal elements concepts | |
| 11. Week | Supremum and infimum concepts | |
| 12. Week | Functions and the properties of functions . | |
| 13. Week | The operations on functions | |
| 14. Week | Composition of functions and inverse of functions |
| 1. Soyut Matematik, S. Akkaş, H. H. Hacısalihoğlu, Z. Özel, A. Sabuncuoğlu; Gazi Üniversitesi |
| 2. Soyut Matematiğe Giriş, Timur Karaçay |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 4 | 4 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 4 | 0 | - |
| PY4 | 4 | 4 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 1 | 1 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 0 | 60 |
| PY9 | 1 | 1 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 5 | 5 | - |
| PY14 | 5 | 0 | 60 |
| PY15 | 1 | 1 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 4 | 56 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 14 | 2 | 28 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 1 | 14 |
| Total Workload | 130 | ||
| ECTS Credit of the Course | 5.0 | ||
