TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TLZ204 |
| Name | Numerical Methods |
| Term | 2025-2026 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi YILMAZ ERBİL |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
This course aims to help students develop the ability of resolving any problems with a simple way and develop the ability of applying a few basic principles for solving problems.
Course Content
Solution of nonlinear equations, interpolation and approximate solution of numerical problems, Lagrange's method, Newton's method, solution of nonlinear equation sets, finite difference, numerical derivative and integration, numerical solutions of differential equations, curve fitting
Course Precondition
none
Resources
Sayısal Analiz Zekeriya Girgin
Notes
Class Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns numerical methods |
| LO02 | Learns kinds of engineering problems |
| LO03 | Solves textile enginnering problems approximately by using numerical methods |
| LO04 | Uses a computer program for solution of numerical methods. |
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. | 3 |
| 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. | 3 |
| 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. | 3 |
| 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. | 2 |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Ability to work effectively in interdisciplinary (Textile Engineering) and multidisciplinary teams; independent work skills. | |
| 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. | |
| 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. | 3 |
| 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. | |
| 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 | Information about the course | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Solutions of Nonlinear Equations | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | linear Interpolation methods | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Numerical solving of Linear Equations | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Numerical solving of nonlinear Equations | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | THE ROOTS OF A NONLINEAR EQUATION | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Interpolations and approximately solving of numerical problems | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | The course notes and reference books | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Lagrange method, Newton method | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Numerical solving of nonliinear Equation systems | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Divided differences | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 12 | Numerical Differentiation and Numerical integration | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Numerical solutions of differantial equations | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Curve fitting | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Repeating Lecture Notes | The course notes and reference books | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | The course notes and reference books | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | The course notes and reference books | 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 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 10 | 10 |
| Total Workload (Hour) | 72 | ||
| Total Workload / 25 (h) | 2,88 | ||
| ECTS | 3 ECTS | ||