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Information
| Code | OMZ211 |
| Name | Numerical Analysis |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 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. ALİ KESKİN |
Course Goal
The objective of this course is to teach the language of numerical methods, logic and introduction to mathematical calculations in engineering, and application of numerical methods into several science, industry and engineering problems.
Course Content
Introduction to numerial methods; Error concept in numerical analysis; solution methods of nonlinear equations; solution of linear equation systems; solution methods of eigenvalue problems; approximate methods; interpolation, numerical integral, numerical differentiation.
Course Precondition
The course has no prerequisites.
Resources
Richard L. Burden, J. Douglas Faires (2000). Numerical Analysis, Brooks Cole; 7th edition.
Notes
Behiç Çağal (1989), Sayısal Analiz, Seç Yayın Dağıtım, İstanbul.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the main logic of the numerical methods. |
| LO02 | Gains the ability to demonstrate the ability to solve engineering problems with the acquired knowledge. |
| LO03 | Selects and applies the appropriate numerical method required for the solution of a particular problem situation. |
| LO04 | Analyzes linear equation systems. |
| LO05 | Gains the ability to calculate numerical derivatives and numerical integrals. |
| LO06 | Performs numerical solutions of differential equations. |
| LO07 | Gains the ability to interpolate. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | To be able to acquire sufficient knowledge on subjects specific to mathematics, science, and Automotive Engineering. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | To be able to use the theoretical and applied knowledge in the fields of Automotive Engineering in solving complex engineering problems. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Ability to identify, formulate and solve complex engineering problems in Automotive Engineering and technology; ability to select and apply appropriate analysis and modeling methods for this purpose. | 3 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions in Automotive Engineering; ability to apply modern design methods for this purpose. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Designing, conducting experiments, collecting data, analyzing and interpreting results for the study of complex engineering problems or discipline-specific research topics in Automotive Engineering. | 3 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively both individually and as a team in disciplinary (Automotive Engineering) and multi-disciplinary teams. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To be able to follow the project processes by producing and projecting innovative ideas in the field of Automotive Engineering. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | To be able to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Automotive Engineering applications. | 1 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; To be able to access information in the field of Automotive Engineering, to follow the developments in science and technology, and to constantly renew oneself. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | To be able to use information and communication technologies together with at least one computer software in the field of Automotive Engineering. | |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; To be able to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions in the field of Automotive Engineering. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | To be able to act in accordance with ethical principles, to be able to learn about professional and ethical responsibility in the field of Automotive Engineering and the standards used in engineering applications. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | To learn about the effects of Automotive Engineering applications on health, environment, and safety in universal and social dimensions and the problems of the age reflected in the field of Automotive Engineering; Gaining awareness of the legal consequences of Automotive Engineering solutions. | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | Gaining knowledge about applications in business life such as project management, risk management, and change management in the field of Automotive Engineering; awareness of entrepreneurship, and innovation; To be able to learn about sustainable development. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction, Error concept in numerical methods | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Nonlinear equation system, root of nonlinear equations | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Bisection method, Newton Raphson method | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Secant method, linear system of equations, direct methods | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Gauss Elimination method | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | LU decomposition method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Eigenvalue problems, solution by analytical method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Writing exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Force method for the biggest eigenvalue , Force method for the smallest eigenvalue | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Interpolation | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Interpolation polinomials | Lecture notes | |
| 12 | Numerical Integral, Trapezoidal and Simpson methods | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Gussian Quadrature formulae | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Numerical Differentiation | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Numerical solutions of Differantial equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Exercises | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 17 | Term Exams | Writing exam | 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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||