| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics I | MAT111 | Turkish | Compulsory | 1. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Prof. Dr. Emrah Evren KARA |
| Instructor(s) | Prof. Dr. Emrah Evren KARA (Güz) |
| Goals | The aim of this course is to understand the basic logic of mathematics, to put the thought system into an analytical form and to apply analytical thinking and basic mathematical logic in the encountered problems. |
| Course Content | To be able to classify numbers, to know the concepts of inequality and absolute value. To be able to comprehend analytical plane and coordinate system. To be able to understand polynomials and identities. To be able to define the function and to say its types and properties. To understand trigonometry and trigonometric functions. To draw graphs of trigonometric functions |
| # | Öğrenme Kazanımı |
| 1 | 1) Describe the concepts of cluster and number. 2) Recognize the function and some special functions. 3) It means that you can get a limit at one point in the functions. 4) Uses the properties of continuous functions. 5) Explains the concept of derivative. 6) Compare the physical and geometric meanings of the derivative. 7) Interpretation of derivative theorems. 8) Limit calculations in indefinite expressions. 9) Explain curve drawings |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Sets, Absolute Value and Properties, Inequalities, Analytical Analysis of Directness and Circle | Interview, Practice |
| 2. Week | Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions | Practice, Interview |
| 3. Week | Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions | Practice, Interview |
| 4. Week | Continuity in Functions, Properties of Continuous Functions (interpolate Theorem, Absolute Max, Min, Local Max, Min Definitions) | Interview, Practice |
| 5. Week | Concept of derivative, rules of taking derivative | Presentation (Preparation), Interview |
| 6. Week | Higher Order Derivative, Inverse Function Derivative, Trigonometric Functions derivative | Interview, Practice |
| 7. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions | Practice, Interview |
| 8. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions | Interview |
| 9. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions | Interview, Practice |
| 10. Week | Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, | Interview |
| 11. Week | Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) | Interview, Practice |
| 12. Week | Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept | Interview, Practice |
| 13. Week | Polar Coordinates, Asymptotes | Practice, Interview |
| 14. Week | Curve drawings | Interview, Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To have theoretical and / or practical knowledge in the field of mathematics, science, social sciences, engineering and / or industrial engineering, and the ability to use this knowledge to model and solve engineering problems | ✔ | |||||
| 2 | Gaining the ability to work actively in projects and projects aimed at professional development in both individual and multidisciplinary groups and taking responsibility in situations that may arise in this process | ✔ | |||||
| 3 | Knowledge of at least one foreign language at a level that will enable communication with colleagues in the field and follow current developments; ability to write and understand written reports effectively, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | ✔ | |||||
| 4 | To be individuals who are sensitive to universal and social values, have knowledge of professional and ethical responsibilities and standards used in engineering practices. | ✔ | |||||
| 5 | The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 7 | Ability to select and use modern techniques and tools necessary for the identification, formulation, analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | ✔ | |||||
| 8 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | ✔ | |||||
| 9 | Knowledge of the universal and societal impacts of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions, the necessity of lifelong learning and the ability to continuously renew oneself. | ✔ | |||||
| Program Requirements | DK1 |
|---|---|
| PY1 | 5 |
| PY2 | 4 |
| PY3 | 5 |
| PY4 | 4 |
| PY5 | 3 |
| PY6 | 3 |
| PY7 | 4 |
| PY8 | 3 |
| PY9 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Emrah Evren KARA | Vize | 40.00 | |
| Prof. Dr. Emrah Evren KARA | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 6 | 84 |
|
Ders Dışı |
Research | 4 | 2 | 8 |
| Practice | 10 | 1 | 10 | |
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 2 | 8 | |
| Homework 2 | 4 | 2 | 8 | |
| Final | 1 | 1.5 | 1.5 | |
| Practice | 14 | 1 | 14 | |
| Practice End-Of-Term | 6 | 2 | 12 | |
| Classroom Activities | 6 | 1 | 6 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
