Rapor Tarihi: 13.04.2026 03:14
| 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. Arzu ÖZKOÇ ÖZTÜRK |
| Instructor(s) | Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK (Güz) |
| Goals | The aim of this course is to teach the fundamental logic of mathematics, to put thought systems into an analytical form, and to apply analytical thinking and basic mathematical logic to problems encountered. |
| Course Content | The ability to classify numbers, understand inequalities and absolute value, comprehend the analytical plane and coordinate systems, understand polynomials and identities, define functions and state their types and properties, understand trigonometry and trigonometric functions, and draw the graphs of trigonometric functions. |
| # | Öğrenme Kazanımı |
| 1 | It refers to the ability to take the limit of a function at a specific point. |
| 1 | It refers to the ability to take the limit of a function at a specific point. |
| 2 | It utilizes the properties of continuous functions. |
| 2 | It utilizes the properties of continuous functions. |
| 3 | It explains the concept of derivatives. |
| 3 | It explains the concept of derivatives. |
| 4 | It compares the physical and geometric meanings of the derivative. |
| 4 | It compares the physical and geometric meanings of the derivative. |
| 5 | She has knowledge of functions with two variables. |
| 5 | She has knowledge of functions with two variables. |
| 6 | It can perform partial and differential calculus. |
| 6 | It can perform partial and differential calculus. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic | |
| 2. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic | |
| 3. Week | Limit Concept, Right and Left Sided Limits, Unknown Shapes, Limits of Trigonometric Functions | |
| 4. Week | Continuity of functions, properties of continuous functions (interpolate Theorem, Absolute Max, Min, Local Max, Min definitions) | |
| 5. Week | Derivative, Derivative Rules | |
| 6. Week | Higher Derivatives, Derivatives of Inverse Functions, Derivatives of trigonometric functions | |
| 7. Week | Derivatives of inverse trigonometric functions, logarithms Function Derivatives, Derivatives of Hyperbolic and Inverse Hyperbolic Functions | |
| 8. Week | Derivatives of Functions Given parametric equations, Derivative of Implicit Function | |
| 9. Week | Derivatives of Functions Given parametric equations, Derivative of Implicit Function | |
| 10. Week | Geometrical meaning of the derivative, Rolle's Theorem, Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Milestones | |
| 11. Week | Concepts of Maximum and Minimum, Maximum and Minimum Problems, Taylor's Theorem, Fuzzy Shapes (L 'Hospital Rule) | |
| 12. Week | Uncertain Shapes (L 'Hospital Rule) Continue, Differential Concept | |
| 13. Week | Drawing curve | |
| 14. Week | Multivariable Functions, Limit, Continuous and Derivative on This Functions |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | It explains the theories and principles related to the field. | ✔ | |||||
| 2 | It provides practical skills in the field of Biomedical Engineering by utilizing knowledge from health sciences and engineering. | ✔ | |||||
| 4 | It provides the ability to define, model, and solve a problem encountered in medicine using engineering approaches. | ✔ | |||||
| 5 | It explains how to effectively use current software and hardware. | ✔ | |||||
| 6 | It instills professional responsibility and ethical awareness. | ✔ | |||||
| 7 | It provides skills for working both with and independently in the healthcare sector. | ✔ | |||||
| 8 | To gain verbal and written communication skills. To enable effective use of a foreign language in professional life. | ✔ | |||||
| 9 | It raises awareness about the necessity of lifelong learning. | ✔ | |||||
| 10 | It provides the ability to access information, follow developments in science and technology, and continuously update oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 |
|---|---|---|---|---|---|---|
| PY1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY4 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY5 | 0 | 0 | 0 | 0 | 0 | 4 |
| PY6 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY7 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY9 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY10 | 5 | 5 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu |
|
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK | Vize | 40.00 | |
| Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK | 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 |
Homework | 14 | 2 | 28 |
| Preparation, After Class Study | 4 | 4 | 16 | |
| Research | 14 | 1 | 14 | |
| Practice | 4 | 1 | 4 | |
| Other Activities | 1 | 4 | 4 | |
|
Sınavlar |
Midterm | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 154 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
