| 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 | Prof. Dr. İSMET YILDIZ, Prof. Dr. HÜSEYİN BUDAK |
| Instructor(s) | Doç. Dr. Fatih HEZENCİ (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 | Sets, Absolute Value and Features, Inequality, and the right of the circle Analytical Investigation | |
| 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, Derivatives of Hyperbolic and Inverse Hyperbolic Functions | |
| 8. Week | Derivatives of Functions Given parametric equations, Derivative of Implicit Function | |
| 9. Week | Midterm | |
| 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 | Polar Coordinates, Asymptotes | |
| 14. Week | Drawing curve |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 2 | Ability to identify, define, formulate and solve complex engineering problems; for this purpose, the ability to select and apply appropriate analysis and modeling methods | ✔ | |||||
| 3 | Knowledge and awareness about the management, control, development and security/reliability of Information Technologies | ✔ | |||||
| 4 | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; for this purpose, the ability to apply modern design methods | ✔ | |||||
| 5 | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics | ✔ | |||||
| 7 | Ability to work effectively in disciplinary and multi-disciplinary teams; individual study skills | ✔ | |||||
| 8 | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; Ability to use information technologies effectively | ✔ | |||||
| 9 | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions | ✔ | |||||
| 10 | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 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 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 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 | 5 | 70 |
|
Ders Dışı |
Practice | 14 | 1 | 14 |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 | |
| Quiz 1 | 1 | 4 | 4 | |
| Quiz 2 | 1 | 4 | 4 | |
| Final | 1 | 2 | 2 | |
| Classroom Activities | 14 | 3 | 42 | |
| Total Workload | 152 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
