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Information
| Code | OMZ211 |
| Name | Numerical Analysis |
| Term | 2023-2024 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Doç. Dr. ZEYNEP ÖZKURT
(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 | 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 | |
| 2 | Nonlinear equation system, root of nonlinear equations | Lecture notes | |
| 3 | Bisection method, Newton Raphson method | Lecture notes | |
| 4 | Secant method, linear system of equations, direct methods | Lecture notes | |
| 5 | Gauss Elimination method | Lecture notes | |
| 6 | LU decomposition method | Lecture notes | |
| 7 | Eigenvalue problems, solution by analytical method | Lecture notes | |
| 8 | Mid-Term Exam | Writing exam | |
| 9 | Force method for the biggest eigenvalue , Force method for the smallest eigenvalue | Lecture notes | |
| 10 | Interpolation | Lecture notes | |
| 11 | Interpolation polinomials | Lecture notes | |
| 12 | Numerical Integral, Trapezoidal and Simpson methods | Lecture notes | |
| 13 | Gussian Quadrature formulae | Lecture notes | |
| 14 | Numerical Differentiation | Lecture notes | |
| 15 | Numerical solutions of Differantial equations | Lecture notes | |
| 16 | Exercises | Lecture notes | |
| 17 | Term Exams | Writing exam |
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 | ||