TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TLZ201 |
| Name | Math III |
| Term | 2025-2026 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. LEYLA BUGAY |
| Course Instructor |
Doç. Dr. DİLEK KAHYALAR
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Diferansiyel denklemlere giriş, Diferansiyel denklemlerin tanımı ve sınıflandırılması
Course Content
Diferansiyel denklemlere giriş, Diferansiyel denklemlerin tanımı ve sınıflandırılması
Course Precondition
Basic knowledge of derivatives and integrals is required.
Resources
Differentiel Equuations, L.Shipley Ross Differentiel Equuations, Frank Ayres Differential Equations, Lester R. Ford
Notes
Diferansiyel Denklemler ve Uygulamaları, mehmet Aydın, Gönül Gündüz,Beno Kuryel
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognizes some differential equations. |
| LO02 | Recognizes first order differantial equations. |
| LO03 | Recognizes exact differantial equations. |
| LO04 | Recognizes linear differantial equations. |
| LO05 | Recognizes and solves Cauchy - Euler equations. |
| LO06 | Recognizes to find the solution of certain differantial equations by using Laplace transformations. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Sufficient knowledge in mathematics, natural sciences, and subjects specific to the Textile Engineering discipline; the ability to apply theoretical and practical knowledge in these areas to solve complex engineering problems. | 3 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | The ability to identify, formulate, and solve complex engineering problems in the field of Textile Engineering; and the ability to select and apply appropriate analysis and modeling methods for this purpose. | 2 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | In Textile Engineering, the ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | 2 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | The ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Textile Engineering applications; the ability to effectively use information technologies. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | In the field of Textile Engineering, the ability to design experiments, conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | 3 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Ability to work effectively in interdisciplinary (Textile Engineering) and multidisciplinary teams; independent work skills. | 3 |
| PLO07 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Effective verbal and written communication skills; knowledge of at least one foreign language; ability to write and understand written reports effectively in the field of Textile Engineering, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 2 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Awareness of the necessity of lifelong learning; the ability to access information in the field of Textile Engineering, to follow developments in science and technology, and to continuously update oneself. | |
| PLO09 | Yetkinlikler - Alana Özgü Yetkinlik | Adherence to ethical principles, knowledge of professional and ethical responsibilities in the field of Textile Engineering, and standards used in engineering practices. | 4 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | In the field of Textile Engineering, knowledge of business practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; and knowledge of sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge about the universal and societal impacts of Textile Engineering applications on health, environment, and safety, as well as the contemporary challenges facing the field of Textile Engineering; awareness of the legal consequences of Textile Engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Differential equations and their solutions | Required readings | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Classification of differential equations | Required readings | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Initial value problemsand existence of their solutions | Required readings | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Exact differential equations and integrating factor | Required readings | Öğretim Yöntemleri: Anlatım |
| 5 | Seperable equations and equations reducible to this form | Required readings | Öğretim Yöntemleri: Anlatım |
| 6 | Linear equations and Bernoulli equations | Required readings | Öğretim Yöntemleri: Anlatım |
| 7 | To find the solution of the linear differantial equations with higher order | Required readings | Öğretim Yöntemleri: Soru-Cevap, Anlatım |
| 8 | Mid-Term Exam | Review of the topics discussed in the lecture notes and sources again | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | The homogeneous linear equations with constant coefficients | Required readings | Öğretim Yöntemleri: Problem Çözme |
| 10 | The method of undetermined coefficients | Required readings | Öğretim Yöntemleri: Anlatım |
| 11 | Variations of parameters | Required readings | Öğretim Yöntemleri: Anlatım |
| 12 | Cauchy - Euler equations | Required readings | Öğretim Yöntemleri: Problem Çözme |
| 13 | System of linear differantial equations | Required readings | Öğretim Yöntemleri: Anlatım |
| 14 | Laplace transformations | Required readings | Öğretim Yöntemleri: Problem Çözme |
| 15 | Basic properties of Laplace transformations | Required readings | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Review of the topics discussed in the lecture notes and sources again | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the topics discussed in the lecture notes and sources again | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||