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Year/Semester of Study | 2 / Fall Semester | ||||
Level of Course | 1st Cycle Degree Programme | ||||
Type of Course | Compulsory | ||||
Department | ELECTRICAL AND ELECTRONICS ENGINEERING | ||||
Pre-requisities and Co-requisites | None | ||||
Mode of Delivery | Face to Face | ||||
Teaching Period | 14 Weeks | ||||
Name of Lecturer | ŞAKİR ŞİMŞİR (sakirsimsir@nevsehir.edu.tr) | ||||
Name of Lecturer(s) | |||||
Language of Instruction | Turkish | ||||
Work Placement(s) | None | ||||
Objectives of the Course | |||||
Teaching numerical analysis methods, providing the ability to model the related methods using computer programming languages, demonstrating that various problems can be solved in a much shorter time and in an effective way thanks to the modeling in question. |
Learning Outcomes | PO | MME | |
The students who succeeded in this course: | |||
LO-1 | Knows why the numerical analysis methods are needed |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-2 Ability to identify engineering problems, modelling, formulate and improve the ability to solve. |
Examination |
LO-2 | Knows computer programming language |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-2 Ability to identify engineering problems, modelling, formulate and improve the ability to solve. PO-3 In such a way that those who want to design a system or process. PO-4 Individual and/or in groups to gain the ability to work. PO-11 The techniques required for engineering applications, methods and improve the ability to use modern tools. |
Examination |
LO-3 | Can solve both linear equation systems and nonlinear equations using numerical methods |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-2 Ability to identify engineering problems, modelling, formulate and improve the ability to solve. PO-4 Individual and/or in groups to gain the ability to work. PO-11 The techniques required for engineering applications, methods and improve the ability to use modern tools. |
Examination |
LO-4 | Can model any numerical analysis method in a computer environment using computer programming language |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-2 Ability to identify engineering problems, modelling, formulate and improve the ability to solve. PO-3 In such a way that those who want to design a system or process. PO-4 Individual and/or in groups to gain the ability to work. PO-11 The techniques required for engineering applications, methods and improve the ability to use modern tools. |
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents | ||
First of all, a general information about numerical analysis will be given. Before moving on to the explanation of numerical analysis methods, computer programming language will first be taught in order to provide the ability to model each method in a computer environment. After completing the coding training, an introduction to numerical analysis will be made with the topic of errors in numerical methods. Afterwards, Bisection, Regula Falsi, Fixed Point Iteration, Newton-Raphson and Secant methods used in solving nonlinear equations will be explained. Then, Cramer, Gauss elimination, LU, Jacobi iteration and Gauss-Seidel methods developed for solving linear equation systems will be covered. Apart from this, numerical differentiation, numerical integration, interpolation and curve fitting topics will be handled. | ||
Weekly Course Content | ||
Week | Subject | Learning Activities and Teaching Methods |
1 | Introduction to numerical analysis | Lecture, question and answer, discussion |
2 | Teaching of programming language | Lecture, question and answer, discussion |
3 | Teaching of programming language | Lecture, question and answer, discussion |
4 | Teaching of programming language | Lecture, question and answer, discussion |
5 | Teaching of programming language | Lecture, question and answer, discussion |
6 | Errors in numerical analysis, rounding errors, truncation errors, error definitions | Lecture, question and answer, discussion |
7 | Finding the roots of equations, Bisection method, Regula Falsi method | Lecture, question and answer, discussion |
8 | mid-term exam | |
9 | Fixed point iteration method, Newton-Raphson method | Lecture, question and answer, discussion |
10 | Secant method, solution of linear equation systems, Cramer method | Lecture, question and answer, discussion |
11 | Gaussian elimination method, LU method | Lecture, question and answer, discussion |
12 | Jacobi iteration method, Gauss-Seidel method | Lecture, question and answer, discussion |
13 | Numerical differentiation | Lecture, question and answer, discussion |
14 | Numerical integration | Lecture, question and answer, discussion |
15 | Interpolation, curve fitting | Lecture, question and answer, discussion |
16 | final exam | |
Recommend Course Book / Supplementary Book/Reading | ||
1 | Nurhan Karaboğa, Sayısal Yöntemler ve MATLAB Uygulamaları | |
2 | İrfan Karagöz, Sayısal Analiz ve Mühendislik Uygulamaları | |
3 | Deniz Dal, MATLAB ile Programlama | |
4 | Cemalettin Kubat, MATLAB-Yapay Zeka ve Mühendislik | |
Required Course instruments and materials | ||
Course book, laptop computer, projector |
Assessment Methods | |||
Type of Assessment | Week | Hours | Weight(%) |
mid-term exam | 8 | 2 | 40 |
Other assessment methods | |||
1.Oral Examination | |||
2.Quiz | |||
3.Laboratory exam | |||
4.Presentation | |||
5.Report | |||
6.Workshop | |||
7.Performance Project | |||
8.Term Paper | |||
9.Project | |||
final exam | 16 | 2 | 60 |
Student Work Load | |||
Type of Work | Weekly Hours | Number of Weeks | Work Load |
Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
Outside Class | |||
a) Reading | 2 | 8 | 16 |
b) Search in internet/Library | 2 | 8 | 16 |
c) Performance Project | 0 | ||
d) Prepare a workshop/Presentation/Report | 0 | ||
e) Term paper/Project | 0 | ||
Oral Examination | 0 | ||
Quiz | 0 | ||
Laboratory exam | 0 | ||
Own study for mid-term exam | 2 | 7 | 14 |
mid-term exam | 2 | 1 | 2 |
Own study for final exam | 2 | 7 | 14 |
final exam | 2 | 1 | 2 |
0 | |||
0 | |||
Total work load; | 120 |