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Information
| Code | İM0035 |
| Name | Numerical Methods in Engineering |
| Term | 2024-2025 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Arş.Gör.Dr. Timuçin Alp ASLAN |
Course Goal / Objective
It is aimed to provide the logic of numerical methods and the application of numerical methods to different science, industry and engineering problems.
Course Content
Introduction to numerical methods; Solution methods of nonlinear systems of equations; Solution methods of systems of linear equations; Solution methods of eigenvalue problems; Approximate methods; interpolation; Numerical integral; Numerical Derivation, Numerical solutions of differential equations
Course Precondition
There are no course prerequisites
Resources
Numerical Method in Engineering - S.C. Chapra, R.P. Canale. James F. Epperson, 2001.
Notes
Numerical Method in Engineering - S.C. Chapra, R.P. Canale. James F. Epperson, 2001.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Will be able to define the basic logic of numerical methods. |
| LO02 | Performs the solution of systems of linear equations. |
| LO03 | Can perform analytical and numerical solutions of eigenvalue problems. |
| LO04 | Have knowledge about Interpolation Polynomials. |
| LO05 | Will be able to calculate Numerical Derivative and Numerical Integral. |
| LO06 | Will be able to solve numerical solutions of differential equations by applying many different methods. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have knowledge and understanding at advanced level providing required basis for original projects in the field of civil engineering based on qualifications gained at undergraduate level. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gain required knowledge through scientific research in the field of engineering, evaluate, interpret and apply data. | 2 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Be aware of new and emerging applications,examine and learn where necessary. | 4 |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Construct engineering problems, develop strategies to solve them, and apply innovative methods for solutions. | 5 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Design and implement analytical modeling and experimental research and solve complex situations encountered in this process. | 3 |
| PLO06 | Yetkinlikler - Öğrenme Yetkinliği | Develop new and / or original ideas and methods; develop innovative solutions for the system, part, and process design. | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Have learning skills. | 5 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Be aware of innovative developments in the field of civil engineering, and analyse and learn them when needed. | 4 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | ransfer process and results of the projects in the field of civil engineering or on national and international platforms in written or oral form. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Have knowledge in current techniques and methods applied in civil engineering. | 1 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Use computer software as well as information and communication technologies at the level required in the field of civil engineering. | 5 |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Oversee social, scientific and ethical values in all professional platforms. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction, Concept of Error in Numerical Analysis | to read | Öğretim Yöntemleri: Anlatım |
| 2 | Nonlinear Equations and Equation Systems, Finding Roots | to read | Öğretim Yöntemleri: Anlatım |
| 3 | Bisection Method, Newton Raphson Method, Secant Method | to read | Öğretim Yöntemleri: Anlatım |
| 4 | Solution of Systems of Linear Equations, Direct Methods | to read | Öğretim Yöntemleri: Anlatım |
| 5 | Gauss Elimination Method. LU Method | to read | Öğretim Yöntemleri: Anlatım |
| 6 | Eigenvalue Problems, Solution with Analytical Method | to read | Öğretim Yöntemleri: Anlatım |
| 7 | Power Method for Numerical Solution of Eigenvalue Problems | to read | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | to read | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Interpolation | to read | Öğretim Yöntemleri: Anlatım |
| 10 | Interpolation Polynomials: Least Squares Method, Lagrange Method, Newton Method | to read | Öğretim Yöntemleri: Anlatım |
| 11 | Numerical Derivative | to read | Öğretim Yöntemleri: Anlatım |
| 12 | Numerical Integral | to read | Öğretim Yöntemleri: Anlatım |
| 13 | Gaussian Quadrature Integration Formulas | to read | Öğretim Yöntemleri: Anlatım |
| 14 | Numerical Solutions of Differential Equations: Initial Value Problems | to read | Öğretim Yöntemleri: Anlatım |
| 15 | Numerical Solutions of Differential Equations: Boundary Value Problems | to read | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | to read | Ölçme Yöntemleri: Sözlü Sınav, Yazılı Sınav |
| 17 | Term Exams | to read | 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 | 20 | 20 |
| Total Workload (Hour) | 147 | ||
| Total Workload / 25 (h) | 5,88 | ||
| ECTS | 6 ECTS | ||