| 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 | |
| Instructor(s) | Doç. Dr. Merve İLKHAN KARA (Güz) |
| Goals | To provide students with basic mathematical skills necessary for engineering education. |
| Course Content | Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle, Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions),Concept of derivative, rules of taking derivative Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions,Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept Polar Coordinates, Asymptotes |
| # | Öğrenme Kazanımı |
| 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 the curve drawings. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle | Presentation (Preparation), Interview |
| 2. Week | Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions | Presentation (Preparation), Interview |
| 3. Week | Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions | Presentation (Preparation), Interview |
| 4. Week | Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions) | Presentation (Preparation), Interview |
| 5. Week | Concept of derivative, rules of taking derivative | Interview, Presentation (Preparation) |
| 6. Week | Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions | Presentation (Preparation), Interview |
| 7. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard | Presentation (Preparation), Interview |
| 8. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard | Presentation (Preparation), Interview |
| 9. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Presentation with projector/blackboard | Presentation (Preparation), Interview |
| 10. Week | Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, | Interview, Presentation (Preparation) |
| 11. Week | Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) | Presentation (Preparation), Interview |
| 12. Week | Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept | Presentation (Preparation), Interview |
| 13. Week | Polar Coordinates, Asymptotes | Presentation (Preparation), Interview |
| 14. Week | Curve drawings | Interview, Presentation (Preparation) |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Uses knowledge of natural sciences and mathematics to develop various processes in the field. | ||||||
| 2 | Demonstrates behavior in line with ethical and deontological principles in decision-making and implementation processes. | ||||||
| 3 | Applies scientific and technological developments in practices within the field. | ||||||
| 4 | Integrates basic engineering knowledge with technical tools to solve engineering problems in the field using an analytical approach. | ||||||
| 5 | Designs all technical systems, system components, and production processes related to the field. | ||||||
| 6 | Applies plant and animal production processes in accordance with scientific and technical principles. | ||||||
| 7 | Uses data-oriented basic technologies of the agricultural sector in production processes. | ||||||
| 8 | Applies sustainability principles and approaches to agricultural processes. | ||||||
| 9 | Uses managerial and institutional knowledge for agriculture, taking into account global and local developments. | ||||||
| 10 | Manages the cultivation, breeding, and adaptation processes of field crops and applies sustainable agricultural principles considering biodiversity and ecological balance. | ||||||
| 11 | Manages seed standards effectively in accordance with legislation. | ||||||
| 12 | Diagnoses yield and quality problems in field crops and develops effective solutions. | ||||||
| 13 | Develops innovative decision support systems based on scientific evidence using land-based digital agriculture technologies in field farming. | ||||||
| 14 | Manages field crop production with sustainable and entrepreneurial business models in line with legal and ethical responsibilities, global policies, and market dynamics. | ||||||
| 15 | Uses effective communication and leadership skills to carry out multifaceted agricultural projects, including extension activities for farmers. | ||||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| PY15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 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 | 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 | ||
