Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | AE-MT106B | | Compulsory | 1 | 2 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
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) | 2 | They will understand mathematical proof methods and understand logic | 3 | Understands the concept of sets and will know the operations defined on sets and their related properties. | 4 | Knows relations and relation types and will make applications about the properties of relations. | 5 | Knows the concept and types of functions and will make applications. | 6 | 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 |
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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