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. |
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 |
Arıkan, A., Halıcıoğlu, S. (2016). Soyut matematik. Ankara: Palme Yayıncılık. |
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 |
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 |
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 |