TÜRKÇE
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Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | INMZ204 |
| Name | NUMERICAL METHODS |
| Term | 2025-2026 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 | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
Prof. Dr. HÜSEYİN RIZKULLAH YERLİ
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach students with the basic knowledge of numerical methods
Course Content
Numerical solutions of problems which can't solve analytically
Course Precondition
NONE
Resources
H.R. Yerli, Numerical Methods Lecture Notes
Notes
S.C. Chapra and R.P. Canale, Numerical Methods for Engineers
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To ability of numerical solution of engineering problems |
| LO02 | Learns numerical solutions of nonlinear equations |
| LO03 | Learns numerical solutions of system of Linear equations |
| LO04 | Learns numerical solutions of Eigenvalue problerms |
| LO05 | Learns curve fitting |
| LO06 | Learns numerical integration |
| LO07 | Learns numerical solution of differential equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | “Sufficient knowledge in mathematics, science, and discipline-specific topics in Civil Engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems.” | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | “The ability to identify, formulate, and solve complex Civil Engineering problems; and the ability to select and apply appropriate analysis and modeling methods for this purpose.” | |
| PLO03 | Bilgi - Kuramsal, Olgusal | “The ability to design a complex system, process, device, or product to meet specified requirements under realistic constraints and conditions; and the ability to apply modern design methods for this purpose.” | |
| PLO04 | Bilgi - Kuramsal, Olgusal | “The ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Civil Engineering applications; and the ability to use information technologies effectively.” | |
| PLO05 | Bilgi - Kuramsal, Olgusal | “The ability to design experiments, conduct experiments, collect data, and analyze and interpret results for the investigation of complex Civil Engineering problems or discipline-specific research topics.” | |
| PLO06 | Bilgi - Kuramsal, Olgusal | “The ability to work effectively in intra-disciplinary and multidisciplinary teams; and the ability to work independently.” | |
| PLO07 | Bilgi - Kuramsal, Olgusal | “The ability to communicate effectively in both oral and written form; proficiency in at least one foreign language; the ability to write effective reports and understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear and understandable instructions.” | |
| PLO08 | Bilgi - Kuramsal, Olgusal | “Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously improve oneself.” | |
| PLO09 | Bilgi - Kuramsal, Olgusal | “Acting in accordance with ethical principles, having professional and ethical responsibility, and having knowledge of the standards used in engineering practices.” | |
| PLO10 | Bilgi - Kuramsal, Olgusal | “Knowledge of business-life practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; and knowledge about sustainable development.” | |
| PLO11 | Bilgi - Kuramsal, Olgusal | “Knowledge of the universal and social impacts of Civil Engineering practices on health, environment, and safety, as well as the contemporary issues reflected in the field of engineering; and awareness of the legal consequences of engineering solutions.” |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | System of linear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Problem solution of linear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Numerical solution methods of nonlinear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Numerical solution of nonlinear equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Eigenvalue problems | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Curve fitting with Lagrange's Method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Curve fitting with Newton's Method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Numerical integration with trapezoidal rule | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Numerical integration with Simpson's rule | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Numerical integration with Gaussian quadrature | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Numerical solutions of initial value problems with Taylor's method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Numerical solutions of initial value problems with Runge-Kutta's method | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | General Problem Solving | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | 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 | 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 | 15 | 15 |
| Final Exam | 1 | 48 | 48 |
| Total Workload (Hour) | 147 | ||
| Total Workload / 25 (h) | 5,88 | ||
| ECTS | 6 ECTS | ||