| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| General Mathematics I | FEN109 | Turkish | Compulsory | 1. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ (Güz) |
| 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. |
| # | Öğrenme Kazanımı |
| 1 | Refers to the mathematical definitions and theorems |
| 2 | Proves mathematical induction the accuracy of propositions |
| 3 | Explains simple mathematical rules |
| 4 | Explains simple mathematical rules |
| 5 | Relates comments and mathematical concepts |
| 6 | Calculates mathematical concepts values. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Number systems and their characteristics, the principle of induction, range, absolute value | Preparation, After Class Study, Interview |
| 2. Week | Ordered pairs, Cartesian product, the definition of correlation, properties of relation | Interview, Preparation, After Class Study |
| 3. Week | Inverse relation, equivalence relation, order relation. | Preparation, After Class Study, Interview |
| 4. Week | Function Definition and properties | Preparation, After Class Study, Interview |
| 5. Week | types of functions | Preparation, After Class Study, Interview |
| 6. Week | types of functions | Interview, Preparation, After Class Study |
| 7. Week | Limit of a variable, functions, limits, limit of trigonometric functions. | Interview, Preparation, After Class Study |
| 8. Week | Midterm | |
| 9. Week | Limit of a variable, functions, limits, limit of trigonometric functions | Preparation, After Class Study, Interview |
| 10. Week | Definition of continuity, right-hand and left-continuity, properties of continuous functions and types of continuity | Preparation, After Class Study, Interview |
| 11. Week | definition of derivative | Interview, Preparation, After Class Study |
| 12. Week | Geometrical and physical interpretation of the derivative, rules of differentiation | Preparation, After Class Study, Interview |
| 13. Week | Geometrical and physical interpretation of the derivative, rules of differentiation | Preparation, After Class Study, Interview |
| 14. Week | Rules of differentiation | Preparation, After Class Study, Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 3 | Knows students' misconceptions about physics, chemistry, biology, environment, astronomy and earth science and strategies to change them. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY3 | 4 | 4 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 2 | 28 |
|
Ders Dışı |
Practice | 14 | 2 | 28 |
|
Sınavlar |
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 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
