TÜRKÇE
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Information
| Code | CEN204 |
| Name | Numerical Analysis |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZEKERİYA TÜFEKCİ |
Course Goal
To introduce students to techniques for the numerical approximation of mathematical problems, and to the analysis of these techniques.
Course Content
Surveys and applications of numerical techniques related to matrix inversion, systems of linear equations and optimization, finite difference expressions, interpolation and approximation, numerical differentiation and integration.
Course Precondition
no prerequisites
Resources
Numerical Analysis David Kincaid Ward Cheney
Notes
Numerical Analysis Timothy Sauer
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | perform an error analysis for various numerical methods |
| LO02 | Solve an algebraic equation using an appropriate numerical method. |
| LO03 | Solve a linear system of equation using an appropriate numerical method. |
| LO04 | Approximate a function using a numerical method. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Can access information,gains the ability to do resource research and uses information resources | 2 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 4 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Professional and ethical responsibility, | 2 |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 3 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Computer arithmetic | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 2 | Floating Point Numbers and Roundoff Errors | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Absolute and Relative Errors | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Solutions of nonlinear equations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Bisection Method | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Newton's Method | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 7 | Solutions of linear equations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Midterm exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Matrix algebra | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | The LU and Cholesky Factorizations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Pivoting and Constructing and Algorithm | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Function approximations | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Polynomial Interpolation | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Divided Differences | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 15 | Hermite Interpolation | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 16 | Numerical Differentiation and Integration | Reading the lecture notes | Öğretim Yöntemleri: Anlatım |
| 17 | Final Exam | 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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||