TÜRKÇE
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Information
| Code | TLZ204 |
| Name | Numerical Methods |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi YILMAZ ERBİL |
| Course Instructor |
1 2 |
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
Class Notes
Notes
Sayısal Analiz Zekeriya Girgin
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 | Has sufficient background in the fields of Mathematics, Science and Textile Engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Selects and uses modern techniques and tools for engineering applications | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Works effectively both individually and as a team member and takes responsibility | 4 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Searches literature, has access to information, uses databases and other sources of information | 4 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Recognizes the need of lifelong learning; follows developments in science and technology and renews self continuosly | 3 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has effective oral and written communication skills. | 3 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Follows developments in the field in a foreign language, has good communication skills with colleagues. | 2 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and softwares at a required level | 3 |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | 3 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Has the professional and ethical responsibility. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Has required competence in project management, entrepreneurship and innovation. | 2 |
| 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 | 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 |
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 | ||