| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İM227 | Yapı Sistemlerinin Sayısal Çözümü | Elective | 1 | 1 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To teach students numerical methods used to analyze building systems. To teach the methods used to solve systems of equations. |
| Name of Lecturer(s) |
| Doç. Dr. Muhittin TURAN |
| Learning Outcomes |
| 1 | Learns matrix calculation techniques frequently used in engineering. | | 2 | Learns different techniques for solving systems of linear equations and can compare these techniques. | | 3 | Learns and can apply the finite difference method, which is frequently used in the solution of building systems. | | 4 | Can use two different methods used for eigenvalue analysis of large matrices. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Introduction to matrix algebra. Solution of linear equations by direct and indirect methods. Finite difference method and its application to many civil engineering problems. Eigenvalue problem and solution methods. |
| Weekly Detailed Course Contents |
|
| 1 | Introduction to matrix algebra.
| | | | 2 | Introduction to matrix algebra.
| | | | 3 | Solution of linear equations by direct and indirect methods.
| | | | 4 | Solution of linear equations by direct and indirect methods.
| | | | 5 | Solution of linear equations by direct and indirect methods.
| | | | 6 | Solution of linear equations by direct and indirect methods.
| | | | 7 | Introduction to finite difference method.
| | | | 8 | Midterm | | | | 9 | Determination of one dimensional finite difference operators and their applications. | | | | 10 | Obtaining and applying two-dimensional finite difference operators | | | | 11 | Determination of two dimensional finite difference operators and their applications. | | | | 12 | Determination of finite difference operators at curved boundaries depending on the boundary conditions. | | | | 13 | Solution of equations of systems by finite difference method | | | | 14 | Solution of equations of systems by finite difference method | | | | 15 | Methods for obtaining eigenvalues and eigenvectors | | |
|
| Recommended or Required Reading |
| Karagöz, İ., 2017; Numerical Analysis and Engineering Applications, Dora Publishing.
Bakioğlu, M., 2011; Numerical Analysis, Birsen Publishing.
Bakioğlu, M., 2011; Numerical Analysis Problems, Birsen Publishing.
Chapra, S.C. ve Canale, R.P., 2008; Numerical Methods for Engineers, Literatür Publishing.
Amirali, G. ve Amirali, İ., 2018; Numerical Analysis, Seçkin Publishing. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 70 | | Homework | 5 | 30 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | 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 | 7 | 98 |
| Individual Study for Mid term Examination | 1 | 17 | 17 |
| Individual Study for Final Examination | 1 | 20 | 20 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO2 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO3 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 | | LO4 | 5 | 4 | 1 | 5 | 1 | 2 | 1 | 4 | 3 | 2 | 1 | 1 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |