Course Information

Course Information
Course Title Code Semester L+U Hour Credits ECTS
Abstract Mathematics MAE102 2. Semester 3 + 0 3.0 4.0
Prerequisites None
Language of Instruction Turkish
Course Level Undergraduate
Course Type
Mode of delivery Face to face
Course Coordinator Assist. Prof. Dr. Emine AYTEKİN KAZANÇ
Instructor(s) Duygu ARABACI
Assistants
Goals It is to develop mathematical thinking by showing logic and proof methods in mathematics and by performing operations on sets, relations and functions.
Course Content Explains symbolic logic and its applications. Explains types of sets. Operates on algebra of sets. Knows the concepts of relation and function and makes applications. Gains mathematical thinking skills.
Learning Outcomes - Defines the basic concepts of mathematics (axiom, theorem, proof).
- Comprehends mathematical proof methods, understands logic.
- Understands the concept of set and knows the operations defined on sets and their properties.
- Knows the relation and its types and makes applications about the properties of the relations.
Weekly Topics (Content)
Week Topics Learning Methods
1. Week Propositions and Proposition of Algebra Verbal Expression Course Hours
2. Week Exercises Course Hours Verbal Expression
3. Week Proof Methods and Techniques Course Hours Verbal Expression
4. Week Quantifiers Verbal Expression Course Hours
5. Week Sets and Algebra of Sets Verbal Expression Course Hours
6. Week Power set, Family of Sets, Fragmentation of Sets Course Hours Verbal Expression
7. Week Exercises Course Hours Verbal Expression
8. Week Mid Term Exam Other Activities
9. Week The concept of relation and its properties Course Hours Verbal Expression
10. Week Relation types, equivalence and order relations Course Hours Verbal Expression
12. Week One-to-One and Onto Functions Course Hours Verbal Expression
13. Week Composition and Inverse of Functions Course Hours Verbal Expression
14. Week Final Course Hours Verbal Expression
Recommended Sources
Arıkan, A., Halıcıoğlu, S. (2016). Soyut matematik. Ankara: Palme Yayıncılık.
Relations with Education Attainment Program Course Competencies
Program Requirements Contribution Level DK1 DK2 DK3 DK4 Measurement Method
PY27 5 0 0 0 0 40,60
PY28 3 0 0 0 0 40,60
PY29 3 0 0 0 0 40,60
PY30 4 0 0 0 0 40,60
PY31 5 0 0 0 0 40,60
*DK = Course's Contrubution.
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
ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Hours 14 4 56
Research 14 2 28
Verbal Expression 14 1 14
Midterm 1 1 2 2
Final 1 2 2
Total Workload 102
ECTS Credit of the Course 4.0