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| MINE2000 | Numerical Analysis | 2+2+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of MINING ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Lab work | | Contact Hours | 14 weeks - 2 hours of lectures and 2 hours of practicals per week | | Lecturer | Prof. Dr. Selçuk Han AYDIN | | Co-Lecturer | - | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | Numerical solution methods and analysis of mathematical and engineering problems. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Get general information about numerical solution methods | 1,5 | 1,4 | | LO - 2 : | Obtain numerical solution algorithms for mathematical problems | 1,5 | 1,4 | | 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 | | |
| Introduction to Maxima and Octave Programming languages. Introduction to Numerical Analysis. Direct and Iterative Solution methods of the linear system of equations, Solution methods for the non-linear equations, Bisection method, Newton method, Secant method, Fixed-point iteration, Power and Inverse-power method for solution of eigenvalues and eigenvectors, Interpolation methods, polynomial interpolation, spline interpolation, Least Square method and line fitting. Numerical differentiation and Richardson extrapolation. Numerical integration methods, Newton and Gauss type methods. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction | | | Week 2 | Maxima programme | | | Week 3 | Octave programme | | | Week 4 | Problem solving with Maxima and Octave | | | Week 5 | Direct numerical methods for the system of linear equations (Gauss elimination method) | | | Week 6 | LU factorization | | | Week 7 | Iterative methods | | | Week 8 | Eigenvalue and eigenvector calcultion with power and inverse power method | | | Week 9 | Mid-term | | | Week 10 | Root finding methods (bi-section method) | | | Week 11 | Newton and secant methods | | | Week 12 | Polynomial interpolation and Lagrange interpolation | | | Week 13 | Spline interpolations | | | Week 14 | Finite difference method and numerical derivativezümü | | | Week 15 | Numerical integration | | | Week 16 | Final | | | |
| 1 | Ward Cheney, David Kincaid, 2008; Numerical Mathematics and Computing, Thomson Learning | | | |
| 1 | Burdden R, Faires D.L, Burden A.M, 2016; Numerical Analysis, Cengage Learning. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 10/04/2020 | 90 | 50 | | End-of-term exam | 16 | 06/06/2020 | 90 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 10 | 40 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Laboratuar çalışması | 4 | 4 | 16 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Ödev | 1 | 4 | 4 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 154 |
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