TÜRKÇE
ENGLISH
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 | Applies sufficient knowledge of mathematics, science, and discipline-specific topics in automotive engineering, utilizing theoretical and practical knowledge in solving complex engineering problems. | 3 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Identifies, defines, and solves complex engineering problems in automotive engineering applications using scientific methods. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Designs a complex system, process, device, or product in automotive engineering under realistic constraints and conditions to meet specific requirements and effectively applies modern design methods in this process. | 3 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Uses information technologies to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in automotive engineering applications. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Designs and conducts experiments, collects data, analyzes, and interprets the results to examine complex engineering problems or discipline-specific research topics in the field of automotive engineering. | 3 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Effectively takes responsibility individually and as a team member in intradisciplinary (automotive engineering) and multidisciplinary teams. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge of the legislation related to automotive engineering and awareness of professional ethical responsibility. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning and constantly improving and renewing itself in the field of automotive engineering. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Gains the ability to communicate verbally and in writing in Turkish/English regarding the field of automotive engineering, write reports, prepare design and production reports, make effective presentations and use communication technologies. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Using project design and management knowledge, he/she attempts to develop and realize new ideas regarding automotive engineering applications. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Have awareness of the effects of Automotive Engineering applications on health, environment and safety at universal and social dimensions, and the legal consequences of the problems and solutions of the age reflected in the field of automotive engineering. |
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 | ||