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Information
| Code | EEE228 |
| Name | Numerical Methods |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-2 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA GÖK |
| Course Instructor |
1 2 |
Course Goal / Objective
Introduce numerical methods and modern programming tools to solve complex analytical problems using computer systems.Develop problem solving skills using computer programming. Introduce algorithm developing methods.
Course Content
Engineering applications of numerical methods, approximation and precision,discussion of numeric errors, 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. The problem of speed, accuracy and applicability of the topics are examined with related algorithms.
Course Precondition
No prerequisite.
Resources
Numerical Methods for Engineers, S. Chapra and R. Canale
Notes
Internet resources and simulation tools.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Selects the proper numerical method for an analytical problem. |
| LO02 | Performs statistical analyzes using regression and interpolation methods. |
| LO03 | Writes small programs to apply numerical methods. |
| LO04 | Does computational performance analysis of the various numerical solutions of the same problem. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | 5 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, | 4 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | 4 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Analytical solution numerical solution comparision | Review of the simple differential equation problems | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Error Definitions, Precision and Accuracy | Read lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Roots of Equations Bracketing Methods | Read lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Roots of Equations Open Methods | Read lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Optimization | Read lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Linear Algebraic Equations and Matrices | Read lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Soru-Cevap, Tartışma |
| 7 | Midterm | Review lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 8 | Mid-Term Exam | Read lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | LU Factoring | Read lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Matrix Inverse and Condition | Read lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 11 | Gaus Seidel Method | Read lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 12 | Eigenvectors | Read lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 13 | Lineer Regression | Read lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma, Alıştırma ve Uygulama |
| 14 | Polynomial Interpolation | Read lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 15 | Fourier Series | Read lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 16 | Term Exams | Review lecture notes. | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review lecture notes. | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 5 | 70 |
| 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 | 5 | 5 |
| Final Exam | 1 | 15 | 15 |
| Total Workload (Hour) | 160 | ||
| Total Workload / 25 (h) | 6,40 | ||
| ECTS | 6 ECTS | ||