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Information
| Code | OMZ211 |
| Name | Numerical Analysis |
| Term | 2024-2025 Academic Year |
| 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 Instructor |
Sibel DOĞRU AKGÖL
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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 | Adequate knowledge of mathematics, science and subjects specific to the Automotive engineering discipline; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 3 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Ability to identify, formulate and solve complex engineering problems in the field of Automotive Engineering; Ability to select and apply appropriate analysis and modeling methods for this purpose. | 3 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | In Automotive Engineering, the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; Ability to apply modern design methods for this purpose. | 2 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Automotive Engineering applications; Ability to use information technologies effectively. | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics in the field of Automotive Engineering. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively within disciplines (Automotive Engineering) and in multidisciplinary teams; individual work ability. | 2 |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports in the field of Automotive Engineering, prepare design and production reports, make effective presentations, give and receive clear and understandable instructions. | 2 |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; Ability to access information in the field of Automotive Engineering, follow developments in science and technology and the ability to constantly renew itself. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of acting in accordance with ethical principles, professional and ethical responsibility in the field of Automotive Engineering, and standards used in engineering practices. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Knowledge of business practices such as project management, risk management and change management in the field of Automotive Engineering; awareness about entrepreneurship and innovation; Information about sustainable development. | 3 |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Information about the effects of Automotive Engineering applications on health, environment and safety at universal and social dimensions and the problems of the age reflected in the field of automotive engineering; Awareness of the legal consequences of Automotive Engineering solutions. |
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 | Öğretim Yöntemleri: Anlatım |
| 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 | ||