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Information
| Code | CKZ208 |
| Name | Numerical Analysis |
| Term | 2024-2025 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 | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MEHMET BİLGİLİ |
| Course Instructor |
1 2 |
Course Goal / Objective
This course aims to introduce a variety of methods of numerical analysis and to solve the mathematical problems in different areas with the methods of numerical analysis.
Course Content
Solution methods for non-linear equations, Solution methods for systems of linear equations. Interpolatiom. Numerical Integration Methods.
Course Precondition
none
Resources
Lee W. Johnson, R. Dean Riess (1982) Numerical Analysis, Addison-Wesley Publishing Company.
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Interprets sources of error in numerical solutions. |
| LO02 | Calculates the roots of a function. |
| LO03 | Solves linear equation sytems. |
| LO04 | Finds inverse of a matrix. |
| LO05 | Calculates aproximate values of polynomial functions with one variable. |
| LO06 | Calculates numerical integration. |
| LO07 | Analyzes errors in numerical calculations. |
| LO08 | To get basic knowkledge about Numerical Analysis. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Student become equipped with the basic knowledge of math, science and engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Students gain a command of basic concepts, theories and principles in chemical engineering | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Students are able to design and carry out experiments in the basic fields of chemical engineering, and interpret the results and the data obtained from the experiments | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Students become equipped with a variety of skills and knowledge regarding engineering techniques | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Students take initiative in identification, design, development and use of a product or production process | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Students become aware of the necessity of lifelong learning and continuously self-renew | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students use Turkish effectively for technical or non-technical topics orally or in wirtten form, and at least one foreign language | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students become effective in using computer, computer-aided drafting, design, analysis, and presentation | 2 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Importance and meaning of numerical analysis , Number systems and errors in numerical procedures | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 2 | Bisection and Newtons method | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 3 | Bairstow method | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 4 | Linear equation systems, Inverse of a matrix, Deternimant | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 5 | Gauss and Gauss-Jordan Methods | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 6 | Gauss and Gauss-Jordan Methods for finding Inverse of a matrix and Deternimant | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 7 | Gauss-Seidel method for solving Linear equations | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | prepare for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Interpolation, Linear interpolation, Lagrange interpolation | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 10 | Divided differences interpolation | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 11 | Differences İnterpolation | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 12 | Differences İnterpolation-continue | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 13 | Calcutation Methods for Numerical integration | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 14 | Calcutation Methods for Numerical integration on an interval-I | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım |
| 15 | Calcutation Methods for Numerical integration on an interval-II | review of the related chapter from the textbook | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | prepare for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | prepare for the exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 18 | 18 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 148 | ||
| Total Workload / 25 (h) | 5,92 | ||
| ECTS | 6 ECTS | ||