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Information
| Code | MMS206 |
| 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 | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MEHMET BİLGİLİ |
| Course Instructor |
1 |
Course Goal / Objective
The aim of this course is to equip students with the knowledge of numerical methods used in engineering and to gain the ability to solve various practical problems.
Course Content
In this course; errors, equation roots, linear algebraic equation systems, optimization, interpolation, curve fitting, numerical derivative and integral are described.
Course Precondition
Non
Resources
Numerical Methods for Engineers; Fifth Edition. Yazarlar: S.C. Chapra, R.P. Canale. Yayıncı: Mc-Graw Hill.
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Define the basic concepts of analytical and numerical methods for mechanical engineering. |
| LO02 | Use the numerical methods to solve problems in mechanical engineering. |
| LO03 | Make the solution of systems of linear equations using numerical methods. |
| LO04 | Apply the numerical methods to solve interpolation, optimization, derivative and integral problems. |
| LO05 | Define the model by fitting the curve to experimental data. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Beceriler - Bilişsel, Uygulamalı | Understanding the fundamentals of Mechanical Engineering | |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Being well equipped with knowledge of Mathematics, Science and Basic Engineering | 4 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Having capability of designing and executing experiments; examining the results and data | |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Being well equipped with various engineering techniques and skills | |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Being able to design a system ,a component or a process with taking into consideration the technical, economic, enviromental, sustainability limitations | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to analyze the applications on a factory without any help, investigate the problems, formulizing and finding a proper solution for the problems | 3 |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Ability to design , developing getting ready for use of a product or manufacturing process | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understanding the importance of life-time learning and being updated | 3 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Having advanced speaking and writing English skills | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Using Computer effectively; for computed aided design, analysis and illustrating | 4 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Being prone to teamwork, well communication with others, adaptability to interdisciplinary teams | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Being aware of the technical and ethical responsibility, being curious and innovative | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Round of errors | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Roots of equations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Systems of linear algebraic equations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Solution of linear algebraic equations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Lineer algebraic equations, LU decomposition method | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Linear algebraic equations, Gauss siedel method | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Read the related topics in the lecture notes and reference books | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Optimization | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 10 | Curve fitting | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Curve fitting applications | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Numerical differentiation | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Numerical integration | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Ordinary differential equations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Partial differential equations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Read the related topics in the lecture notes and reference books | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Read the related topics in the lecture 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 | 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 | ||