TÜRKÇE
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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | ISB301 |
| Name | Numerical Analysis |
| Term | 2019-2020 Academic Year |
| Semester | 5. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. SADULLAH SAKALLIOĞLU |
| Course Instructor |
Prof. Dr. SADULLAH SAKALLIOĞLU
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to introduce various methods of numerical analysis to students and to make solutions of mathematical problems in different fields with numerical analysis methods.
Course Content
Solution methods of linear and nonlinear equations (Newton's method, Bisection method, Bairstow method), Gaussian Elimination Method, Gauss-Jordan Elimination Method, Inverse and determinant of matrix, Gauss-Siedel Method, Interpolation and numerical integral methods The least squares method.
Course Precondition
Lineer Eşitliklerin Çözümünde Gauss-Seidel Yöntemini uygulayabilmesi,
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Make solutions to systems of linear equations |
| LO02 | Apply Gauss Elimination and Gauss-Jordan Methods for Solving Linear Equations |
| LO03 | Apply Gauss-Siedel Methods for solving linear equations |
| LO04 | Find Root of a function |
| LO05 | Find polynomial interpolation, |
| LO06 | Use to approximate definite integrals |
| LO07 | Examines errors in calculations |
| LO08 | Apply least squares method |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 0 |
| PLO02 | - | Emphasize the importance of Statistics in life | 0 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 0 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 5 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 3 |
| PLO06 | - | Utilize computer systems and softwares | 3 |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 2 |
| PLO08 | - | Apply the statistical analyze methods | 2 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 0 |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | 1 |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | 3 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 0 |
| PLO13 | - | Distinguish the difference between the statistical methods | 0 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 3 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 1 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 4 |
| PLO17 | - | Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs | 0 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Meaning of numerical analysis, number systems, and general information about the error, | Source reading | |
| 2 | Methods of Solving Nonlinear Equations; bisection and Newton methods | Source reading | |
| 3 | Methods of Solving Nonlinear Equations, Regula-Falsi and Bairstow methods, | Source reading | |
| 4 | Systems of linear equations, matrix inverse and determinant | Source reading | |
| 5 | Solving Linear Equations; Gauss Elimination and Gauss-Jordan Methods | Source reading | |
| 6 | Gauss Elimination and Gauss-Jordan Methods for finding inverse of the matrix and determinant. | Source reading | |
| 7 | Gauss-Seidel Method of Solving Linear Equations | Source reading | |
| 8 | Mid-Term Exam | Written Exam | |
| 9 | Interpolation, linear interpolation, Lagrange Interpolation | Source reading | |
| 10 | Central difference interpolation | Source reading | |
| 11 | Forward difference interpolation | Source reading | |
| 12 | Backward difference interpolation | Source reading | |
| 13 | Numerical integration methods | Source reading | |
| 14 | Curve fitting, method of least squares | Source reading | |
| 15 | Curve fitting, method of least squares | Source reading | |
| 16 | Term Exams | Written exam | |
| 17 | Term Exams | Written exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||