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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İ212B3 | Numerical Methods | Compulsory | 2 | 4 | 3 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | To provide students with the knowledge and skills to effectively apply numerical methods and techniques to solve engineering problems in the field of civil engineering. | | Name of Lecturer(s) | | Doç. Dr. Erdal ÖNER | | Learning Outcomes | | 1 | Gain a comprehensive understanding of various numerical methods used in civil engineering such as numerical integration, numerical derivative, root-finding methods, interpolation and curve fitting. | | 2 | Can learn how to apply numerical techniques to solve civil engineering problems. | | 3 | Understand the importance of error analysis in numerical calculations and learn techniques for estimating and controlling errors in numerical solutions. | | 4 | Develop programming skills in software packages used for numerical analysis. | | 5 | Can understand matrix operations and applications in solving eigenvalue problems encountered in civil engineering. | | 6 | Can learn to construct mathematical models for civil engineering problems and use numerical methods to obtain approximate solutions. |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Error Analysis, Methods of Solving Non-Linear Equations: Divide Method, Regula-Falsi Method, Simple Iteration Method, Newton-Raphson Method, Solution of Systems of Linear Equations: Gauss Elimination Method, Cramer's Rule, Gauss-Jordan Method, LU Derivative Numerical Method, Numerical Sequence Method of LU, Numerical Sequence of Jacobi, Cholesky Method, Jacobi Method. | | Weekly Detailed Course Contents | |
| 1 | Error Analysis | | | | 2 | Methods of Solving Nonlinear Equations: The Method of Dividing by Two | | | | 3 | Methods of Solving Nonlinear Equations: The Regula-Falsi Method | | | | 4 | Methods of Solving Nonlinear Equations: Simple Iteration Method | | | | 5 | Methods of Solving Nonlinear Equations: Newton-Raphson Method | | | | 6 | Solving Systems of Linear Equations: Gaussian Elimination Method | | | | 7 | Solving Systems of Linear Equations: Cramer's Rule | | | | 8 | Midterm | | | | 9 | Solving Systems of Linear Equations: Gauss-Jordan Method | | | | 10 | LU Separation Method | | | | 11 | Cholesky Method | | | | 12 | Jacobi Method | | | | 13 | Gauss-Seidel Method | | | | 14 | Numerical Integral | | | | 15 | Numerical Derivative | | |
| | Recommended or Required Reading | | 1. Mehmet BAKİOĞLU, Numerical Analysis, Birsen Publishing House, 2011
2. İrfan KARAGÖZ, Numerical Analysis and Engineering Applications, Dora Publishing, 2017
3. Behiç ÇAĞAL, Numerical Analysis, Birsen Publishing House, 2000
4. Steven C. Chapra , Raymond P. Canale , Hasan Heperkan (Translator) , Uğur Kesgin (Translator), Numerical Methods for Engineers with Software and Programming Applications, Literature Publishing, 2003
5. Gabil AMİRALİ, İlhame AMİRALİ, Numerical Analysis, Seçkin Publishing, 2018
6. Zekeriya ALTAÇ, Numerical Analysis with Pseudo Programs, Dora Publishing, 2019
7. Francis Scheid, Numerical Analysis, Nobel Publishing, 2000 | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 3 | 42 | | Self Study | 14 | 2 | 28 | | Individual Study for Mid term Examination | 1 | 3 | 3 | | Individual Study for Final Examination | 1 | 4 | 4 | | Homework | 10 | 1 | 10 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 | | LO2 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 | | LO3 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 | | LO4 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 | | LO5 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 | | LO6 | 5 | 4 | 5 | 4 | 2 | 2 | 1 | 1 | 1 | 4 | 3 | 2 | 2 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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