| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Fundamentals of Mathematics | MAE101 | 1. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assist. Prof. Dr. Duygu ARABACI |
| Instructor(s) |
Duygu ARABACI |
| Assistants | |
| Goals | It is to know the subjects and concepts in the fields of algebra, geometry, statistics and probability learning in the secondary school mathematics curriculum and to learn the properties of these subjects and concepts, their transformation with multiple representations and their applications in daily life. |
| Course Content | - Knows the mathematical knowledge of numbers and algebra learning areas in the mathematics program and knows its applications in the secondary school mathematics curriculum. - Knows the concepts of numbers, operations and fractions and operations with these concepts. - Knows exponential expressions and radical expressions and the properties of these expressions. - Knows the concepts of equality, equation and inequality and the properties of these concepts. - Knows the representation of concepts related to numbers and algebra in the Mathematics Curriculum with multiple representations and their conversion to each other. - Knows the subjects related to the fields of geometry, statistics and probability learning in the Mathematics Curriculum and the applications of these subjects in the secondary school curriculum. - Knows the concepts of triangle and quadrilateral and makes measurements of length and area. - Knows the concepts of circle, circle, polygons and makes applications related to these concepts. - Knows the concepts of parity and similarity and makes applications related to these concepts. - Knows the concepts of data collection and evaluation, data analysis, probability of simple events and makes related applications. - Knows the concepts of geometry, statistics and probability learning in the Mathematics Curriculum, showing multiple representations and converting them to each other. |
| Learning Outcomes |
- Knows the basic concepts and properties of natural numbers. - Knows the basic concepts and properties of fractions. - Can perform operations on rational numbers. - Knows the concepts and properties of algebra. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction to Set Theory - Intuitionistic and Axiomatic Set Theory | Course Hours Visual Presentation Verbal Expression |
| 2. Week | Natural numbers, operations with natural numbers and their properties | Other Activities Course Hours Research |
| 3. Week | Fractions, Rational Numbers, Real Numbers | Course Hours Visual Presentation Verbal Expression |
| 4. Week | Decimal notation, percentages, ratio and proportion | Visual Presentation Course Hours Verbal Expression |
| 5. Week | Multipliers and Factors, Exponential Expressions and Square Root Expressions and Their Properties | Course Hours Verbal Expression Visual Presentation |
| 6. Week | Algebraic expressions, equality and equation, linear equations, algebraic expressions and identities, inequalities and their properties | Research Other Activities |
| 7. Week | Basic Geometric Concepts | Course Hours Verbal Expression Visual Presentation |
| 8. Week | Mid Term Exam | Other Activities |
| 9. Week | Triangles and quadrilaterals and their properties | Course Hours Other Activities Visual Presentation Verbal Expression |
| 10. Week | Circle and Disc | Preparation, After Class Study Verbal Expression Research |
| 11. Week | Geometric objects, views and properties of objects from different directions | Research Preparation, After Class Study |
| 12. Week | Transformation geometry | Research Other Activities |
| 13. Week | Measurements | Verbal Expression Visual Presentation Course Hours |
| 14. Week | Data Collection and Assesment | Other Activities Research Course Hours |
| Temel Matematiksel Kavramlar ve Uygulamaları, Aysun Nüket Elçi, Esra Bukova Güzel, Berna Cantürk Günhan, Emre Ev Çimen, PegemA Publish. |
| Temel Matematiksel Kavramların Künyesi, Ziya Argün, Ahmet Arıkan, Safure Bulut, Sait Halıcıoğlu, Gazi Kitabevi. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY27 | 5 | 0 | 0 | 0 | 0 | 40,60 |
| PY28 | 4 | 0 | 0 | 0 | 0 | 40,60 |
| PY29 | 3 | 0 | 0 | 0 | 0 | - |
| PY30 | 2 | 0 | 0 | 0 | 0 | 40,60 |
| PY31 | 2 | 0 | 0 | 0 | 0 | 40,60 |
| PY34 | 4 | 0 | 0 | 0 | 0 | 40,60 |
| PY36 | 2 | 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 | 3 | 42 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Research | 1 | 2.5 | 2.5 |
| Midterm 1 | 1 | 2 | 2 |
| Practice End-Of-Term | 1 | 2 | 2 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
