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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMY212 |
| Name | Numerical Analysis |
| Term | 2025-2026 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Önlisans/Lisans Dersi |
| Type | Normal |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA ÖZCANLI |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
It is aimed to introduce the language, logic and mathematical operations of numerical methods in engineering science and to provide the application of numerical methods to many scientific, industrial and engineering problems.
Course Content
Introduction to numerical methods; Concept of error in numerical analysis; Solution methods of nonlinear systems of equations; Solution methods of linear systems of equations; Solution methods of eigenvalue problems; Approximate methods; Interpolation; Numerical integration; Numerical differentiation
Course Precondition
There are no prerequisites for the course.
Resources
Richard L. Burden, J. Douglas Faires (2000). Numerical Analysis, Brooks Cole; 7th edition.
Notes
Course presentations and notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the basic logic of numerical methods |
| LO02 | Gains the ability to demonstrate the ability to solve engineering problems with the knowledge obtained. |
| LO03 | Selects and applies the appropriate numerical method required to solve a particular problem situation. |
| LO04 | Analyzes sets of linear equations |
| LO05 | Gain 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 | Sufficient knowledge of mathematics, science and subjects specific to the automotive engineering discipline; the ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | |
| 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. | 5 |
| 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; the ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to select and use modern techniques and tools required for the analysis and solution of complex problems encountered in Automotive Engineering applications; ability to use information technologies effectively. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate 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 in intra-disciplinary (Automotive Engineering) and multi-disciplinary teams; ability to work individually. | |
| 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 in the field of Automotive Engineering and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; ability to access information in the field of Automotive Engineering, to follow developments in science and technology and to constantly renew oneself. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Acting in accordance with ethical principles, professional and ethical responsibility in the field of Automotive Engineering, and knowledge of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge about business life practices such as project management, risk management and change management in the field of Automotive Engineering; awareness about entrepreneurship and innovation; knowledge about sustainable development. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge about the universal and societal effects of automotive engineering applications on health, environment and safety and the contemporary problems reflected in the automotive engineering field; awareness of the legal consequences of automotive engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction, Concept of Error in Numerical Analysis | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Nonlinear equation system, Root finding | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Bisection Method, Newton Raphson Method | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Gösteri |
| 4 | Secant Method, Solution of linear equation systems, Direct methods | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Gauss Elimination method | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Grup Çalışması |
| 6 | LU method | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Eigenvalue Problems, Solution with Analytical Method | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | The relevant topic should be read from lecture notes and reference sources. | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Power method for largest eigenvalue, Power method for smallest eigenvalues | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 10 | Interpolation | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 11 | Interpolation Polynomials | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 12 | Numerical Integral, Trapezoid and Simpson Method | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Soru-Cevap, Anlatım |
| 13 | Guss Quadrature formulas | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Numerical Derivative | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | Numerical solutions of differential equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 16 | Term Exams | The relevant topic should be read from lecture notes and reference sources. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | The relevant topic should be read from lecture notes and reference sources. | 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 | 18 | 18 |
| Final Exam | 1 | 40 | 40 |
| Total Workload (Hour) | 142 | ||
| Total Workload / 25 (h) | 5,68 | ||
| ECTS | 6 ECTS | ||