TÜRKÇE
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Information
| Code | ME254 |
| Name | Numerical Analysis |
| 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 Goal
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 | Student become equipped with the basic knowledge of math, science and engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Students gain a command of basic concepts, theories and principles in mechanical engineering | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Students become equipped with a variety of skills and knowledge regarding engineering techniques | 1 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique | 3 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Students take initiative in identification, design, development and use of a product or production process. | 2 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Students become aware of the necessity of lifelong learning and continuously self-renew | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students use English effectively for technical or non-technical topics orally or in wirtten form. | 4 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students become effective in using computer, computer-aided drafting, design, analysis, and presentation | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team | 1 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative | 2 |
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 | ||