Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
---|---|---|---|---|---|---|---|
Engineering Mathematics | BMZ201 | Turkish | Compulsory | 3. Semester | 2 + 2 | 3.0 | 4.0 |
Prerequisite Courses | |
Course Level | Undergraduate |
Mode of delivery | Face to face |
Course Coordinator | |
Instructor(s) | |
Goals | The objective of this course is to impart to students the knowledge and skills that constitute the foundation of Engineering Mathematics topics. |
Course Content | Vector, right, plane concepts in R ^ 3 and properties of these concepts Limit, continuity, derivative, integral and curvature in vector valued functions Multivariable functions, limit and continuity in multivariable functions Partial derivative, differential and differentiability in multivariable functions Tangent plane and chain rule in multivariable functions Directional derivative and gradient Taylor series expansion in two variant functions Maximum and minimum problems in multivariable functions Double integrals and applications Mass and gravity center in double integrals Mass and gravity center in double integrals Variable change in double integrals, polar coordinates Curvilinear integrals and applications |
# | Öğrenme Kazanımı |
1 | The student acquires a fundamental knowledge base related to Engineering Mathematics. |
2 | The student analyzes multivariable functions. |
3 | The student articulates the relationship between Engineering and Integrals. |
Week | Topics/Applications | Method |
---|---|---|
1. Week | Vector, right, plane concepts in R ^ 3 and properties of these concepts | Interview Presentation (Preparation) |
2. Week | Limit, continuity, derivative, integral and curvature in vector valued functions | Presentation (Preparation) Interview |
3. Week | Multivariable functions, limit and continuity in multivariable functions | Interview Presentation (Preparation) |
4. Week | Partial derivative, differential and differentiability in multivariable functions | Presentation (Preparation) Interview |
5. Week | Tangent plane and chain rule in multivariable functions | Interview Presentation (Preparation) |
6. Week | Directional derivative and gradient | Interview Presentation (Preparation) |
7. Week | Taylor series expansion in two variant functions | Interview Presentation (Preparation) |
8. Week | Taylor series expansion in two variant functions | Presentation (Preparation) Interview |
9. Week | Maximum and minimum problems in multivariable functions | Interview Presentation (Preparation) |
10. Week | Maximum and minimum problems in multivariable functions | Interview Presentation (Preparation) |
11. Week | Double integrals and applications | Interview Presentation (Preparation) |
12. Week | Mass and gravity center in double integrals | Presentation (Preparation) Interview |
13. Week | Mass and gravity center in double integrals | Interview Presentation (Preparation) |
14. Week | Variable change in double integrals, polar coordinates, Curvilinear integrals and applications | 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 |
---|---|---|---|
PY1 | 5 | 5 | 5 |
PY2 | 1 | 1 | 1 |
PY3 | 1 | 1 | 1 |
PY4 | 1 | 1 | 1 |
PY5 | 2 | 2 | 2 |
PY6 | 1 | 1 | 1 |
PY7 | 1 | 1 | 1 |
PY8 | 1 | 1 | 1 |
PY9 | 1 | 1 | 1 |
PY10 | 1 | 1 | 1 |
PY11 | 1 | 1 | 1 |
PY12 | 2 | 2 | 2 |
PY13 | 1 | 1 | 1 |
PY14 | 1 | 1 | 1 |
PY15 | 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 | 4 | 56 |
Ders Dışı |
Research | 14 | 3 | 42 |
Other Activities | 2 | 1 | 2 | |
Sınavlar |
Midterm 1 | 1 | 1 | 1 |
Final | 1 | 1 | 1 | |
Total Workload | 102 | |||
*AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 |