TÜRKÇE
ENGLISH
Information
| Code | ENM252 |
| Name | Numerical Analysis |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. ZEYNEP ÖZKURT |
| Course Instructor |
1 2 |
Course Goal / Objective
The aim of this course is to introduce various numerical analysis methods to the students and to solve the mathematical problems in different areas with numerical analysis methods.
Course Content
In this course is tauched solving nonlinear equations, solving linear equations, interpolation, numerical integrations
Course Precondition
none
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 | Numerical solutions can comment on the error source. |
| LO02 | It calculate root / roots of a function. |
| LO03 | solve linear system of equations. |
| LO04 | find the inverse of the matrix |
| LO05 | calculate the matrix determinant |
| LO06 | calculate approximate valuation of polynomials |
| LO07 | calculate numerical integration |
| LO08 | examine the errors in the calculations |
| LO09 | solve nonlinear equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability 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. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | 3 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | 4 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Meaning and importance of numerical analysis, Number systems and general information about error | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 2 | in Non-Linear Equations Bisection and Newton's Methods, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 3 | Beams and Bairstow Methods in the Solution of Nonlinear Equations, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 4 | Linear equation systems, matrix inversion and information about determinants, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 5 | Gaussian Elimination and Gauss-Jordan Methods in the Solution of Linear Equations, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 6 | Gauss Destruction and Gauss-Jordan Methods in the Inversion of Matrix Reversal and Determinant, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 7 | Gauss-Seidel Method for Solution of Linear Equations, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | İnterpolation, Linear interpolation, Lagrange interpolation | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 10 | Divided Differences Interpolation, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 11 | Differences Interpolation, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 12 | Back Differences Interpolation, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 13 | Numerical Integral Calculation Methods, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 14 | Application of Numerical Integration Calculation Methods to Interval, | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 15 | Exercises | Required readings and solving problems | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | Required readings and solving problems | Öğretim Yöntemleri: Anlatım |
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||