Numerical Analysis (ING218) | GSÜ - ECTS Information Guide

Content

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.

Course 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

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.

Weekly Contents

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

Assessment System

Contribution to Overall Grade
Activities	Number	Contribution
Contribution of in-term studies to overall grade	0	0
Contribution of final exam to overall grade	1	40
Total	1	40

In-Term Studies
Activities	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
Total	3	60

ECTS

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