| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics II | MAT112 | Turkish | Compulsory | 2. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | |
| Course Coordinator | Prof. Dr. Emrah Evren KARA |
| Instructor(s) | |
| Goals | To be able to teach the basic knowledge and applications of Integral, to be able to comprehend series and series and to be able to examine their convergence. |
| Course Content | Derivatives of multiply variable functions. Higher order partial derivatives.Derivative chain rule.derivative of closed functions Taylor Expansion of Two Variable Functions. Double integrals, region transformations in double integrals. Applications of double integrals. Triple integrals. Region transformations in triple integrals. Applications of triple integrals. Matrices. Determinants. Linear equation systems. |
| # | Öğrenme Kazanımı |
| 1 | 1) Recognize the concept of indefinite integral. 2) Applies the methods of integration. 3) Understand the applications of definite integral. 4) Define generalized integrals. 5) interpret the properties of generalized integrals. 6) Recognize multivariable functions. 7) Solves limit and continuity problems in multivariable functions. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Indefinite Integral, Indefinite Integral Rules, Variable Change Method, Partial Integral Method. | Interview, Practice |
| 2. Week | Simple fractional separation method, Integration of Trigonometric Expressions | Interview, Practice |
| 3. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals. | Practice, Interview |
| 4. Week | Calculation of Some Original Integrals, Definition of Definite Integrals | Interview, Practice |
| 5. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Interview, Practice |
| 6. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Interview, Practice |
| 7. Week | Genelleştirilmiş integraller, Özel Olmayan İntegraller, Karışık Örnekler | Practice, Interview |
| 8. Week | Convergence Criteria of Generalized Integrals | Interview, Practice |
| 9. Week | area account, curve arc length | Interview, Practice |
| 10. Week | area account, curve arc length | Interview, Practice |
| 11. Week | volume account | Interview, Practice |
| 12. Week | Rotary Surface Area Account. | Interview, Practice |
| 13. Week | Definition Clusters in Multivariable Functions. | Interview, Practice |
| 14. Week | Limit and Continuity in Two and More Variable Functions. | Interview, Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To have theoretical and / or practical knowledge in the field of mathematics, science, social sciences, engineering and / or industrial engineering, and the ability to use this knowledge to model and solve engineering problems | ✔ | |||||
| 2 | Gaining the ability to work actively in projects and projects aimed at professional development in both individual and multidisciplinary groups and taking responsibility in situations that may arise in this process | ✔ | |||||
| 3 | Knowledge of at least one foreign language at a level that will enable communication with colleagues in the field and follow current developments; ability to write and understand written reports effectively, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | ✔ | |||||
| 4 | To be individuals who are sensitive to universal and social values, have knowledge of professional and ethical responsibilities and standards used in engineering practices. | ✔ | |||||
| 5 | The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 7 | Ability to select and use modern techniques and tools necessary for the identification, formulation, analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | ✔ | |||||
| 8 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | ✔ | |||||
| 9 | Knowledge of the universal and societal impacts of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions, the necessity of lifelong learning and the ability to continuously renew oneself. | ✔ | |||||
| Program Requirements | DK1 |
|---|---|
| PY1 | 5 |
| PY2 | 4 |
| PY3 | 3 |
| PY4 | 4 |
| PY5 | 3 |
| PY6 | 4 |
| PY7 | 4 |
| PY8 | 5 |
| PY9 | 4 |
| 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 | 6 | 84 |
|
Ders Dışı |
Research | 4 | 2 | 8 |
| Practice | 10 | 1 | 10 | |
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 2 | 8 | |
| Homework 2 | 4 | 2 | 8 | |
| Final | 1 | 1.5 | 1.5 | |
| Practice | 14 | 1 | 14 | |
| Practice End-Of-Term | 6 | 2 | 12 | |
| Classroom Activities | 6 | 1 | 6 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
