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| JFZ2020 | Numerical analysis | 2+1+0 | ECTS:3 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | | Lecturer | Doç. Dr. Ali ELMAS | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course is designed to provide students basic knowledge of methods for solving algebraic and difficult to make mathematical transactions, (linear or nonlinear equations or the solution of equation team, numerical differentiation and integration, etc.. Etc.) to be done numerically, as students of this solution within the framework of their own industry's ability to win. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | gain to solve some problem with integration tecniques. | 1,2,4 | 1 | | 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 | | |
| Definition of matrices, matrix formulation, the unknown more than the number of equations to be symmetric in the creation of a matrix, matrix types, properties of matrices, matrix parameters defined and their use in the matrix solution, the primitive transformation matrix and various operations, determinant calculation methods (Laplace, Gauss, Chio 1 and 2 methods, etc.), inverse calculation methods (Laplace, divided by the matrix, direct inverse, etc.) the solution of linear algebraic equations methods (inverse matrix, taking crammer, Gauss, Gauss-Jordan), linear (linear) solution of nonlinear equation methods ( simple iteration, Newton-Raphson, Kris, Bernoulli), nonlinear (nonlinear) equations of the solution methods (simple iteration, Newton-Raphson), finite difference (back way, way ahead, central finite difference), interpolations (Gregory-Newton , Stirling, Bessel, Lagrange), numerical differentiation, numerical integration of theory and methods and shown all the exercises. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction to Matrix, Recipes, Types, Definitions and Properties | | | Week 2 | Matrix used in the Operations and Mathematic of Parametr Terms and derivation. Creation and Use of Matrix Association Requirements | | | Week 3 | Definitions and Arithmetic Operations with matrices of different Ait Parameters Used in Calculation Methods and requirements in applications | | | Week 4 | Determinants of matrices and the calculation Inversion Techniques (Laplace, Gauss, Gauss-Jordan and Chio, etc.) | | | Week 5 | Determinants of matrices and calculation Inversion Techniques Continue. (Split Matrices, Inverse Discovery Direct, etc.) | | | Week 6 | Determinants of matrices and calculation Techniques Inversion Continue and Applications. | | | Week 7 | Attendance and General Review of Finding Inverse Matrix Method. | | | Week 8 | Linear Methods of Solution of algebraic equations teams (such as inverse matrix and Crammer) | | | Week 9 | Mid-term exam | | | Week 10 | Linear Methods of Solution of algebraic equations Team More (Gauss Elimination Method) | | | Week 11 | Linear Methods of Solution of algebraic equations Time Attendance and Applications (such as Gauss-Jordan) | | | Week 12 | Nonlinear Equations (Simple Iteration, Newton-Raphson, beams, Bernoulli Methods) and exercise | | | Week 13 | Team Solution of Nonlinear Equations (Newton-Raphson, etc. Simple Iteration.) Exercise Games | | | Week 14 | Finite Differences (Forward, Back, Center), Interpolation Methods (Gregory-Newton, Stirling, Bessel, Lagrange, etc..) | | | Week 15 | Numerical Derivatives and Exercises | | | Week 16 | End-of-term exam | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 06/11/2020 | 2 | 50 | | End-of-term exam | 17 | 03/01/2021 | 2 | 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 | 3 | 14 | 42 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 4 | 1 | 4 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 7 | 1 | 7 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 10 | 3 | 30 | | Diğer 2 | 10 | 2 | 20 | | Total work load | | | 149 |
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