Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
---|---|---|---|---|---|---|---|
Mathematics | MAT101 | Turkish | Compulsory | 1. Semester | 3 + 0 | 3.0 | 3.0 |
Prerequisite Courses | |
Course Level | Undergraduate |
Mode of delivery | Face to face |
Course Coordinator | Doç. Dr. Merve İLKHAN KARA |
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 | Interview Presentation (Preparation) |
2. Week | Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions | Interview Presentation (Preparation) |
3. Week | Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions | Interview Presentation (Preparation) |
4. Week | Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions) | Interview Presentation (Preparation) |
5. Week | Concept of derivative, rules of taking derivative | Presentation (Preparation) Interview |
6. Week | Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions | Interview Presentation (Preparation) |
7. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard | Interview Presentation (Preparation) |
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) | Interview Presentation (Preparation) |
12. Week | Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept | Interview Presentation (Preparation) |
13. Week | Polar Coordinates, Asymptotes | Interview Presentation (Preparation) |
14. Week | Curve drawings | Interview Presentation (Preparation) |
No | Program Requirements | Level of Contribution | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |||
1 | Utilizes (or Applies) knowledge of natural sciences and mathematics in developing various processes in their field. | ✔ | |||||
2 | Demonstrates adherence (or behaves) to ethical and deontological principles in decision-making and implementation processes. | ✔ | |||||
3 | Utilizes (or Applies) scientific and technological developments in the applications within their field. | ✔ | |||||
4 | Integrates (or Combines) fundamental engineering knowledge with technical tools to solve engineering problems in their field using an analytical approach. | ✔ | |||||
5 | Designs all technical systems, system components, and production processes relevant to their field. | ✔ | |||||
6 | Implements (or Applies) plant and animal production processes in accordance with scientific and technical principles. | ✔ | |||||
7 | Utilizes (or Employs) data-driven core technologies in agricultural production processes. | ✔ | |||||
8 | Applies (or Implements) sustainability principles and approaches to agricultural processes. | ✔ | |||||
9 | Utilizes (or Applies) managerial and institutional knowledge related to agriculture, while considering (or observing) global and local developments. | ✔ | |||||
10 | Manages soil and water resources and agricultural waste sustainably by integrating scientifically based irrigation, drainage, and soil conservation systems with precision agriculture and digital water management technologies. | ✔ | |||||
11 | Designs agricultural machinery and equipment for agricultural production and post-harvest processes, evaluates their performance, and enhances their efficiency through automation. | ✔ | |||||
12 | Develops functional and environmentally sensitive (or sustainable) solutions in the design of agricultural structures (such as greenhouses, barns, and pens) by utilizing modern engineering and construction technologies. | ✔ | |||||
13 | Analyzes energy efficiency for agriculture and develops effective systems by integrating biofuel production and other sustainable energy sources | ✔ | |||||
14 | Analyzes precision agriculture data (such as satellite imagery, unmanned aerial vehicles (UAVs), and handheld radiometers) to develop and implement systems that optimize resource management. | ✔ | |||||
15 | Executes entrepreneurial projects developed based on legal and ethical boundaries by following current developments, manages them through interdisciplinary collaboration, and transfers the acquired knowledge to stakeholders. | ✔ |
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 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
PY4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
PY5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
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 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
PY10 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
PY11 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
PY12 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
PY13 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
PY14 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
PY15 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
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 |