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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 |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
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 | Has sufficient background in the fields of Mathematics, Science and Textile Engineering | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Selects and uses modern techniques and tools required for engineering applications under realistic constraints and conditions. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Works effectively and takes responsibility in interdisciplinary and multidisciplinary teams, both individually and as a team member | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Searches literature, has access to information, uses databases and other sources of information | 2 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Notices the necessity of lifelong learning; follows developments in science and technology and renews self continuosly | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has effective oral and written communication skills; writes and understands written reports effectively, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions | 4 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Follows developments in the field in a foreign language, has good communication skills with colleagues. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and softwares at a required level | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Has the professional and ethical responsibility, acting in accordance with ethical principles | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge about the universal and societal effects 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. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | An ability to identify, formulate, and solve complex engineering problems by selecting appropriate analysis and modeling methods. | 4 |
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
Current term shares have not yet been determined. Shares of the previous term are shown.
| 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 | ||