| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | AE-MT106 | Abstract Mathematics | Compulsory | 1 | 2 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
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This course aims to provide the students with the knowledge and skills in the field of Abstract Mathematics. |
| Name of Lecturer(s) |
| Dr.Öğr. Üyesi Tuba AĞIRMAN AYDIN |
| Learning Outcomes |
| 1 | • Define the basic concepts of mathematics (axiom, theorem, proof)
• They will comprehend mathematical proof methods and understand logic.
• Understands the concept of set and will know the operations defined on sets and their properties.
• Knows the relation and its types and will make applications about the properties of the relations.
• Knows the concept of function and its types and will make applications
• Will be able to develop a natural language to solve the problem |
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| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
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This course aims to provide the students with the knowledge and skills in the field of Abstract Mathematics. |
| Weekly Detailed Course Contents |
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| 1 |
Propositions and Basic Features | | | | 2 |
Proof and Proof Methods | | | | 3 |
Open propositions and quantifiers | | | | 4 |
Set Theory, Binary Operations | | | | 5 |
Intersection, combination and difference of clusters | | | | 6 |
Clusters family | | | | 7 |
Cartesian product of sets | | | | 8 |
relations | | | | 9 |
Midterm | | | | 10 | Equivalence Relation and Sort Relation | | | | 11 |
Functions | | | | 12 |
One-to-one and overlay functions | | | | 13 |
Single, double and periodic functions | | | | 14 |
Absolute value function, signal function and graph | | | | 15 | Final exam | | |
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| Recommended or Required Reading |
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| Planned Learning Activities and Teaching Methods |
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| 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) | |
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| Workload Calculation |
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| Midterm Examination | 3 | 5 | 15 |
| Final Examination | 3 | 5 | 15 |
| Discussion | 2 | 5 | 10 |
| Question-Answer | 2 | 5 | 10 |
| Team/Group Work | 2 | 5 | 10 |
| Brain Storming | 3 | 5 | 15 |
| Report Preparation | 3 | 5 | 15 |
| Project Design/Management | 3 | 5 | 15 |
| Role Play/Dramatization | 3 | 5 | 15 |
| Self Study | 3 | 5 | 15 |
| Individual Study for Homework Problems | 3 | 5 | 15 |
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| Contribution of Learning Outcomes to Programme Outcomes |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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