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 ytoncan1@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 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
9 | |
10 | |
11 | |
12 | |
13 | |
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 | ||
1 | Knowledge and understanding of a wide range of basic sciences (math, physics, ...) and the main concepts of engineering | X | ||||
2 | Ability to combine the knowledge and skills to solve engineering problems and provide reliable solutions | X | ||||
3 | Ability to select and apply methods of analysis and modeling to ask, reformulate and solve the complex problems of industrial engineering | X | ||||
4 | Ability to conceptualize complex systems, processes or products under practical constraints to improve their performance, ability to use innovative methods of design | X | ||||
5 | Ability to design, select and apply methods and tools needed to solve problems related to the practice of industrial engineering, ability to use computer technology | X | ||||
6 | Ability to design experiments, collect and interpret data and analyze results | X | ||||
7 | Ability to work independently, ability to participate in working groups and have a multidisciplinary team spirit | |||||
8 | Ability to communicate effectively, ability to speak at least two foreign languages | X | ||||
9 | Awareness of the need for continuous improvement of lifelong learning, ability to keep abreast of scientific and technological developments to use the tools of information management | |||||
10 | Awareness of professional and ethical responsibility | X | ||||
11 | Knowledge of the concepts of professional life as "project management", "risk management" and "management of change" | |||||
12 | Knowledge on entrepreneurship, innovation and sustainability | |||||
13 | Understanding of the effects of Industrial Engineering applications on global and social health, environment and safety. | |||||
14 | Knowledge of the problems of contemporary society | |||||
15 | Knowledge of the legal implications of the practice of industrial engineering |
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 |