Numerical Analysis(ING218)
| Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| ING218 | Numerical Analysis | 3 | 2 | 1 | 0 | 2.5 | 4 |
| Prerequisites | |
| Admission Requirements |
| Language of Instruction | French |
| Course Type | Compulsory |
| Course Level | Bachelor Degree |
| Course Instructor(s) | Temel ÖNCAN ytoncan@gsu.edu.tr (Email) |
| Assistant | Ufuk BAHÇECİ ubahceci@gsu.edu.tr (Email) |
| Objective |
This course, which is offered as an elective course to Industrial Engineering students, introduces students to solution techniques for numerical problems.Students will gain basic knowledge and skills for numerical solution of the problems they will encounter both in business life and during their academic careers. In this context, we can list the objectives of this course as follows: Giving ideas about numerical analysis problems, To provide general information about the scope and difficulties of numerical analysis problems, To provide basic knowledge about solution techniques of numerical analysis problems, To provide students with the ability to apply complex numerical analysis, solving techniques and typesetting operations. |
| Content |
Introduction to Numerical Analysis Computer arithmetic and errors in numerical solutions Introduction to Matlab programming Solving nonlinear equations Bisection method and Newton’s method Solving a system of linear equations LU decomposition Iterative methodes Jacobi and Gauss-Seidel Curve fitting Interpolating polynomials Least-square method Numerical differentiation, Taylor Series Expansions Numerical Integration, Trapezoidal method , Simpson’s method |
| Course Learning Outcomes |
The student who successfully completes this course: - Gained an overview of numerical analysis problems - Can suggest approaches to solving numerical analysis problems - Can list new approaches and concepts from the field of numerical analysis - Have basic programming skills with MATLAB - Can find the roots of functions computationally - Can solve systems of equations computationally - Can perform derivative and integral operations computationally |
| Teaching and Learning Methods | |
| References |
Gilat, A., Subramaniam,V., “Numerical Methods for Engineers and Scientists: An Introduction with Applications Using MATLAB”, 3rd ed 2013 Wiley, Hoboken, NJ, USA. Quarteroni, A., Sacco, R. Saleri, F., Methodes Numeriques: Algorithmes, analyse et applications, Springer, 2007, Milano, Italy. Merrien, J-L., Analyse Numerique: Avec MATLAB, Dunod, 2007, Paris, France. |
Theory Topics
| Week | Weekly Contents |
|---|---|
| 1 | Introduction to Numerical Analysis |
| 2 | Computer arithmetic and errors in numerical solutions |
| 3 | Introduction to Matlab programming |
| 4 | Solving nonlinear equations |
| 5 | Bisection method and Newton’s method |
| 6 | Solving a system of linear equations |
| 7 | Midterm |
| 8 | LU decomposition |
| 9 | Iterative methodes Jacobi and Gauss-Seidel |
| 10 | Curve fitting |
| 11 | Interpolating polynomials |
| 12 | Least-square method |
| 13 | Numerical differentiation, Taylor Series Expansions |
| 14 | Numerical Integration, Trapezoidal method , Simpson’s method |
Practice Topics
| Week | Weekly Contents |
|---|---|
| 1 | |
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| 14 |
Contribution to Overall Grade
| Number | Contribution | |
|---|---|---|
| Contribution of in-term studies to overall grade | 0 | 0 |
| Contribution of final exam to overall grade | 1 | 40 |
| Toplam | 1 | 40 |
In-Term Studies
| Number | Contribution | |
|---|---|---|
| Assignments | 0 | 0 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 30 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 2 | 30 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Toplam | 3 | 60 |
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 14 | 3 | 42 |
| Working Hours out of Class | 13 | 3 | 39 |
| Midterm Examinations (including preparation) | 1 | 6 | 6 |
| Final Examinations (including preparation) | 1 | 10 | 10 |
| Quiz | 2 | 3 | 6 |
| Total Workload | 103 | ||
| Total Workload / 25 | 4.12 | ||
| Credits ECTS | 4 | ||