Rapor Tarihi: 14.01.2026 22:33
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics I | MAT101 | Turkish | Compulsory | 1. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to Face |
| Course Coordinator | Doç. Dr. Tuba TUNÇ |
| Instructor(s) | Prof. Dr. Merve İLKHAN KARA (Güz) |
| Goals | The purpose of this course is to teach the basic mathematical techniques to analyze problems, math skills required to be able to introduce. A large number of sample problems with mathematics, the availability of practical emphasis. |
| Course Content | Improve the student's ability to think abstractly and learn topics in mathematics. |
| # | Öğrenme Kazanımı |
| 1 | The cluster concept and recognize the set of real numbers. |
| 2 | Functions defined on the set of real numbers with basic features to examine. |
| 3 | Limits of functions, continuity and derivatives learn the concepts. |
| 4 | To solve the derivative |
| 5 | To draw the graph of a given function |
| 6 | Differential learn the concept. |
| 7 | To calculate the approximate value of the differential with the concept. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Numbers, Cluster Concept, Real Numbers, Intervals | Interview, Presentation (Preparation) |
| 1. Week | Absolute Value, Exponential and Numbers, logarithms | Interview, Presentation (Preparation) |
| 3. Week | Algebraic functions, polynomial functions, rational functions, exponential functions, logarithmic functions. | Interview, Presentation (Preparation) |
| 4. Week | Limits and Continuity, a Variable Limit, Limit of a Function | Interview, Presentation (Preparation) |
| 5. Week | Limit Concerning Applications, Concept of Continuity of Functions | Interview, Presentation (Preparation) |
| 6. Week | Sequences and Series | Interview, Presentation (Preparation) |
| 7. Week | Introduction to Derivatives, Derivatives Left, Right Derivatives, Derivatives Rules | Interview, Presentation (Preparation) |
| 8. Week | Introduction to Derivatives, Derivatives Left, Right Derivatives, Derivatives Rules | Interview, Presentation (Preparation) |
| 9. Week | Derivatives of Inverse Functions, Composition of Functions Derivatives, Derivatives of Parametric Functions | Interview, Presentation (Preparation) |
| 10. Week | Implicit Differentiation, Successive Derivatives, trigonometric, Derivatives of Functions. | Interview, Presentation (Preparation) |
| 11. Week | Derivatives of inverse trigonometric functions, logarithmic and exponential functions | Interview, Presentation (Preparation) |
| 12. Week | Ascending Descending Functions, Extreme Points, convexity, concavity And Graphics Drawing | Interview, Presentation (Preparation) |
| 13. Week | Extreme Problems, Mean Value Theorem | Interview, Presentation (Preparation) |
| 14. Week | Aid Derivative of a Function Plots, Curve Asymptote Containing Drawings | Interview, Presentation (Preparation) |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | .Applies knowledge of natural sciences and mathematics to the development of various processes within the field. | ✔ | |||||
| 2 | Acts in accordance with ethical and deontological principles in decision-making and implementation processes. | ✔ | |||||
| 3 | Utilizes scientific and technological developments in field-related applications. | ✔ | |||||
| 4 | Solves engineering problems within the field through an analytical approach by integrating fundamental engineering knowledge with technical tools. | ✔ | |||||
| 5 | Designs all technical systems, system components, and production processes related to the field. | ✔ | |||||
| 6 | Implements crop and livestock production processes in accordance with scientific and technical principles. | ✔ | |||||
| 7 | Utilizes data-driven core technologies within the agricultural sector in production processes. | ✔ | |||||
| 8 | Applies sustainability principles and approaches to agricultural processes. | ✔ | |||||
| 9 | Utilizes managerial and institutional knowledge for agriculture, taking into account global and local developments. | ✔ | |||||
| 10 | Integrates fundamental scientific knowledge in the fields of genetics, molecular biology, microbiology, and biochemistry into agricultural biotechnology processes through a critical approach. | ✔ | |||||
| 11 | Produces innovative and sustainable biotechnological solutions to agricultural problems by effectively utilizing laboratory and field applications. | ✔ | |||||
| 12 | Effectively utilizes statistical, mathematical, and bioinformatic tools to analyze biological data. | ✔ | |||||
| 13 | Fulfills professional and social responsibilities by mastering the ethical, legal, intellectual property, and biosafety dimensions of biotechnological applications. | ✔ | |||||
| 14 | Effectively shares project findings obtained by working efficiently in interdisciplinary projects using effective presentation techniques. | ✔ | |||||
| 15 | Demonstrates lifelong learning and entrepreneurship skills by generating innovative ideas and continuously following scientific and technological developments in the field. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY6 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY9 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY10 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY11 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY12 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY13 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY14 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY15 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Merve İLKHAN KARA | Vize | 40.00 | |
| Prof. Dr. Merve İLKHAN KARA | Final | 60.00 | |
| Toplam | 100.00 | ||
| Prof. Dr. Merve İLKHAN KARA | (Eski Öğrenciler) | Vize | 40.00 |
| Prof. Dr. Merve İLKHAN KARA | (Eski Öğrenciler) | Final | 60.00 |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Research | 14 | 2 | 28 |
| Other Activities | 3 | 1.5 | 4.5 | |
|
Sınavlar |
Midterm 1 | 1 | 1 | 1 |
| Final | 1 | 1 | 1 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
