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Information
| Code | ME254 |
| Name | Numerical Analysis |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ARİF ÖZBEK |
| Course Instructor |
1 2 |
Course Goal / Objective
Basic programming and writing program with a programming language.
Course Content
Introduction to Fortran programming. Editing, compiling and running a program in Fortran. Constants, variables, expressions, statements. Selective structures. Repetitive structures and arrays. Functions. Pointers. Multi-dimensional arrays. Subprograms in Fortran. Example programs.
Course Precondition
none
Resources
Lecture notes
Notes
Steven Chapra, Raymond Canale, Numerical methods for engineers, 5th edition
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Linear algebraic equations, aplication of Gauss Siedel method |
| LO02 | defining of Optimization |
| LO03 | explain Curve fitting method |
| LO04 | Makes the numerical derivative |
| LO05 | Ordinary differential equations |
| LO06 | Can find the roots of equations using different methods. |
| LO07 | solving numbers of equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science, and topics specific to mechanical engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The ability to identify, formulate, and solve complex engineering problems in the fields of mechanical engineering and technology; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements in mechanical engineering; the ability to apply modern design methods for this purpose. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in mechanical engineering applications; the ability to effectively use information technologies. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | The ability to design experiments, conduct experiments, collect data, analyze and interpret the results for the investigation of complex engineering problems or research topics specific to mechanical engineering. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | The ability to work effectively in intra-disciplinary (mechanical engineering) and multidisciplinary teams; the ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | The ability to communicate effectively both orally and in writing; proficiency in at least one foreign language; the ability to write effective reports in mechanical engineering, understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously renew oneself in the field of mechanical engineering. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Behaving in accordance with ethical principles, awareness of professional and ethical responsibilities in the field of mechanical engineering, and knowledge about the standards used in engineering practices. | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge of business practices such as project management, risk management, and change management in the field of mechanical engineering; awareness of entrepreneurship and innovation; knowledge about sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Awareness of the universal and societal dimensions of the impacts of mechanical engineering applications on health, environment, and safety, and knowledge about the contemporary issues in the field of mechanical engineering; awareness of the legal consequences of mechanical engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction, Round of errors | Textbook Chapter 3 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | determination of Roots of equations | Textbook Chapter 5 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | calculation of Roots of equations | Textbook Chapter 9 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Systems of linear algebraic equations | Textbook Chapter 9 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Linear algebraic equations, LU decomposition method | Textbook Chapter 10 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Linear algebraic equations, Gauss siedel yöntemi | Textbook Chapter 11 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Optimization | Textbook Chapter 13 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | linear Curve fitting | Textbook Chapter 17 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | exponential Curve fitting | Textbook Chapter 17 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Numerical differentiation | Textbook Chapter 21 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Numerical integration | Textbook Chapter 21 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Ordinary differential equations | Textbook Chapter 25 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | explanation of Partial differential equations | Textbook Chapter 29 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | solution of Partial differential equations | Textbook Chapter 29 | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
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 | ||