Rapor Tarihi: 27.03.2026 01:37
| 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 | Compulsory |
| Course Coordinator | Doç. Dr. ZAKİR DENİZ |
| Instructor(s) | Doç. Dr. ZAKİR DENİZ (Güz) |
| Goals | Saving of mathematical skills to the students on theirs own area. |
| Course Content | To introduce concept of function. To teach the limit of a function. To give the continuity of a function. To introduce the concept of derivative. To give the application of derivative. To apply the extremum problems to engineering. To plot the graph of a curve |
| # | Öğrenme Kazanımı |
| 0 | defines the concepts of set and number theory. |
| 0 | Learns what the function is and some speacial functions. |
| 0 | expresses how to calculate limit on a given point in the functions |
| 0 | Uses the properties of the continuous functions |
| 0 | Explains the concept of derivation. |
| 0 | Compares the physical and geometric meaning of derivative. |
| 0 | Interprets the theorems about derivation. |
| 0 | Calculates the limit of indefinite expressions. |
| 0 | Explains the drawings of the curves. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic and hyperbolic functions | |
| 2. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic and hyperbolic functions | |
| 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, | |
| 8. Week | Derivatives of Hyperbolic and Inverse Hyperbolic Functions | |
| 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 | Curve Sketching | |
| 14. Week | Multivariable Functions, Limit, Continuous and Derivative on This Functions |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To gain the ability to apply knowledge of mathematics, science, and engineering in the field of Mechatronics Engineering | ✔ | |||||
| 2 | To gain the ability to design and develop an entire mechatronic system or one of its components under realistic constraints and conditions | ✔ | |||||
| 3 | To gain the ability to identify, model, and solve engineering problems | ✔ | |||||
| 4 | To effectively use up-to-date software and hardware tools with an awareness of project management, risk management, entrepreneurship, innovation, and sustainable development | ✔ | |||||
| 5 | To acquire professional responsibility and ethical awareness | ✔ | |||||
| 6 | To gain the ability to work both individually and as part of a team | ✔ | |||||
| 7 | To gain the ability to communicate effectively in oral and written form, and to use a foreign language efficiently in professional life | ✔ | |||||
| 8 | To gain awareness of the necessity of lifelong learning, the ability to access information, to follow scientific and technological developments, to continuously improve oneself, and to recognize the health, environmental, safety, and legal aspects of engineering practices | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. ZAKİR DENİZ | Vize | 40.00 | |
| Doç. Dr. ZAKİR DENİZ | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Ders Dışı |
Practice | 14 | 1 | 14 |
|
Sınavlar |
Midterm | 1 | 15 | 15 |
| Quiz | 1 | 4 | 4 | |
| Quiz Preparation | 1 | 4 | 4 | |
| Final | 1 | 18 | 18 | |
| Classroom Activities | 14 | 3 | 42 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
