Rapor Tarihi: 27.03.2026 01:32
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics II | BMZ102 | Turkish | Compulsory | 2. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to Face |
| Course Coordinator | |
| Instructor(s) | Prof. Dr. Merve İLKHAN KARA (Bahar) |
| Goals | The aim of this course is to equip students with the knowledge and skills concerning the fundamental principles and applications of the integral, and to enable them to comprehend the topics of Sequences and Series and acquire the ability to examine their convergence. |
| Course Content | Fundamental concepts in integral calculus. |
| # | Öğrenme Kazanımı |
| 1 | Defines the concept of the indefinite integral. |
| 2 | Applies the methods of integration. |
| 3 | Defines the applications of the definite integral. |
| 4 | Defines generalized integrals |
| 5 | Applies the properties of generalized integrals |
| 6 | Defines multivariable functions |
| 7 | Solves limit and continuity problems in multivariable functions |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Indefinite Integral, Rules of Indefinite Integration, Substitution Method (Change of Variable Method), Integration by Parts Method. | Interview, Presentation (Preparation) |
| 2. Week | Indefinite Integral, Rules of Indefinite Integration, Substitution Method (Change of Variable Method), Integration by Parts Method. | Interview, Presentation (Preparation) |
| 3. Week | Method of Partial Fractions, Integration of Trigonometric Expressions | Interview, Presentation (Preparation) |
| 4. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals | Interview, Presentation (Preparation) |
| 5. Week | Calculation of Certain Special Integrals, Definition of the Definite Integral | Interview, Presentation (Preparation) |
| 6. Week | Problems Leading to the Concept of the Definite Integral, Definition and Properties of the Definite Integral | Interview, Presentation (Preparation) |
| 7. Week | Problems Leading to the Concept of the Definite Integral, Definition and Properties of the Definite Integral | Interview, Presentation (Preparation) |
| 8. Week | Generalized Integrals, Improper Integrals, Mixed Examples | Interview, Presentation (Preparation) |
| 9. Week | Generalized Integrals, Improper Integrals, Mixed Examples | Interview, Presentation (Preparation) |
| 10. Week | Convergence Criteria for Generalized Integrals | Interview, Presentation (Preparation) |
| 11. Week | Area Calculation, Arc Length of a Curve | Interview, Presentation (Preparation) |
| 12. Week | Volume Calculation | Interview, Presentation (Preparation) |
| 13. Week | Calculation of the Area of a Surface of Revolution | Interview, Presentation (Preparation) |
| 14. Week | Domain Sets of Multivariable Functions, Limit and Continuity in Functions of Two or More Variables | Interview, Presentation (Preparation) |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Utilizes knowledge of natural sciences and mathematics in developing various processes in their field. | ✔ | |||||
| 2 | Demonstrates adherence to ethical and deontological principles in decision-making and implementation processes. | ✔ | |||||
| 3 | Utilizes scientific and technological developments in the applications within their field. | ✔ | |||||
| 4 | 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 plant and animal production processes in accordance with scientific and technical principles. | ✔ | |||||
| 7 | Utilizes data-driven core technologies in agricultural production processes. | ✔ | |||||
| 8 | Applies sustainability principles and approaches to agricultural processes. | ✔ | |||||
| 9 | Utilizes 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 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 |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY12 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY13 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY14 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY15 | 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 | 3 | 42 |
|
Ders Dışı |
Research | 14 | 2 | 28 |
| Other Activities | 3 | 1.5 | 4.5 | |
|
Sınavlar |
Midterm | 1 | 1 | 1 |
| Final | 1 | 1 | 1 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
