| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| General Mathematics I | FEN109 | 1. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assoc. Prof. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) |
EMİNE NUR ÜNVEREN BİLGİÇ |
| Assistants | |
| Goals | To provide students with knowledge, skills, attitudes and habits related to basic definitions, theorems, proofs and applications of number systems, relation, function, limit, continuity and derivative concepts. |
| Course Content | Numbers: number systems and their properties, induction principle, interval, absolute value. Relation: Sequential binary, Cartesian product, definition of relation, properties of relation, inverse relation, equivalence relation, order relation. Function: Definition of functions, properties, types of functions, inverse function, composition of functions, trigonometric functions, exponential functions, logarithmic functions, inverse-trigonometric functions, special defined functions. Limit: Limit of a variable, limit of functions, limit of trigonometric functions. Continuity: Definition of continuity, continuity from right and left, properties of continuous functions, types of continuity. Derivative: Definition of a derivative, geometric interpretation of a derivative, differentiation rules, higher order derivatives. |
| Learning Outcomes |
- Refers to the mathematical definitions and theorems - Proves mathematical induction the accuracy of propositions - Explains simple mathematical rules - Explains simple mathematical rules - Relates comments and mathematical concepts - Calculates mathematical concepts values. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Number systems and their characteristics, the principle of induction, range, absolute value | Preparation, After Class Study Verbal Expression |
| 2. Week | Ordered pairs, Cartesian product, the definition of correlation, properties of relation | Preparation, After Class Study Verbal Expression |
| 3. Week | Inverse relation, equivalence relation, order relation. | Preparation, After Class Study Verbal Expression |
| 4. Week | Function Definition and properties | Verbal Expression Preparation, After Class Study |
| 5. Week | types of functions | Verbal Expression Preparation, After Class Study |
| 6. Week | types of functions | Preparation, After Class Study Verbal Expression |
| 7. Week | Limit of a variable, functions, limits, limit of trigonometric functions. | Preparation, After Class Study Verbal Expression |
| 8. Week | Midterm | |
| 9. Week | Limit of a variable, functions, limits, limit of trigonometric functions | Preparation, After Class Study Verbal Expression |
| 10. Week | Definition of continuity, right-hand and left-continuity, properties of continuous functions and types of continuity | Preparation, After Class Study Verbal Expression |
| 11. Week | definition of derivative | Verbal Expression Preparation, After Class Study |
| 12. Week | Geometrical and physical interpretation of the derivative, rules of differentiation | Preparation, After Class Study Verbal Expression |
| 13. Week | Geometrical and physical interpretation of the derivative, rules of differentiation | Preparation, After Class Study Verbal Expression |
| 14. Week | Rules of differentiation | Verbal Expression Preparation, After Class Study |
| Genel matematik 1 / Mustafa Balcı Sürat Üniversite Yayınları, 2014. |
| Abstract Mathematics |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY3 | 4 | 0 | 0 | 0 | 0 | 0 | - |
| 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) |
|---|---|---|---|
| Practice | 14 | 2 | 28 |
| Course Hours | 14 | 2 | 28 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 |
| Quiz 1 | 1 | 0.5 | 0.5 |
| Final | 1 | 4 | 4 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
