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| MAK 307 | Numerical Analysis | 3+0+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of MECHANICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Hakan BAYRAKTAR | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course aims to give the students fundamental methods of numerical analysis, to apply these methods by using a high-level technical programming language, such as MATLAB, and to improve their computer skills. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Students will be informed about the errors resulting from the making of approximations while applying various numerical methods, and the ways to minimizing of these errors. | 1,2,5,8 | | | LO - 2 : | Students will be informed about the weak and powerful sides, and skills of numerical methods and the computers. | 5,8,10 | | | LO - 3 : | Students will be able to choose the appropriate numerical method depend on the problem to be solved. | 1,2,5,11 | | | LO - 4 : | Students will be able to apply the basic numerical solution techniques by using a high-level programming language, such as MATLAB. | 1,5,11 | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| . Mathematical modeling concept, approximations and errors. . Roots of equations: Closed methods; bisection and false position methods. Open methods; simple iteration, Newton-Raphson and Secant methods. . Systems of equations: Gauss elimination, Gauss-Jordan, matrix inversion, Gauss-Seidel iteration methods. . Curve fitting: least squares regression; Newton and Lagrange interpolation polynomials. . Numerical differentiation and numerical integration, Newton-Cotes formulas. . Solution of ODE's: Euler, Heun, and Runge-Kutta methods; Boundary-value problems. . Introduction to MATLAB programming, application of the numerical methods using MATLAB programming language. |
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