Course Code:                            : 5103117

Course Name                            : Numerical Analysis I

  Instructor : Assos. Dr. Murat KISA

  Theoretical / Practical / Credit : 3 / 0 / 3

Learning Activity	Estimated Time(Hour)	Evaluation
Theoretical Course (14 Week)0	3 x 14 = 42	Participation to class
Guided Problem Solving	None
Individual Study	3 x 14 = 42
Weekly homework problems solving	1 x 14 = 14	Individual or teamwork and report preparation for homework’s.
Term project	None
Midterm Exam	4 x 2 = 8	Open/ Closed exam
Final Exam	Exam            : 2 Individual work : 8	Open/ Closed exam
Quiz (4 piece)	Individual work : 8	Open/ Closed exam
Research (internet/library)
Other(………………………. )
Total Course Load (Hours)	124

HARRAN UNİVERSITY ENGINEERING FACULTY

MECHANICAL ENGI0NEERING DEPARTMENT

Course Name		Code	Semester	T+U	Credit	AKTS
Numerical Analysis I		5103117	Fall	3+0	3	5
Prerequisite Courses	None
Language of Course	Turkish
Course class	Elective
Coordinator of Course	Assos. Dr. Murat KISA
Instructor	Assos. Dr. Murat KISA
Course Assistant	-
Objective of course	Analytical solution of some engineering problems can be very difficult or impossible, in such cases the error with an acceptable numerical approximation methods to these problems with solutions. Based on experimental data obtained from the approximate curve fitting the numerical methods to perform operations such as integration and differentiation.
Course Learning Output	• Learn the basic concepts of numerical analysis in this context, numerical processing errors, matrices, eigenvalues, eigenvectors, linear equations solution methods, numerical integration to obtain information about the topics. • Lesson learned under the appropriate methods to be used with programs written in a programming language to develop computer skills. • Engineering is often difficult to solve the problems encountered and methods developed to solve with acceptable error. • Any data obtained by a method for fitting curves, are expected to perform operations such as integration.
Course Contents	Digital processing errors, error sources, the absolute and relative errors. Matrices, matrices properties, and the opposite determinant of a matrix, eigenvalues and eigenvectors. Methods of solution of linear equations, direct methods: Cramer, elimination and cutting methods. Approximation methods, interpolation, least squares method. Numerical integration. Computer applications.

Weeks	Plan of Course at Semester
1	Introduction to Numerical Analysis course, numerical algorithms.
2	The concept of error, the relative and absolute error.
3	Matrices, matrices properties, determinant of a matrix and the opposite
4	Eigenvalues and eigenvectors.
5	Computer application
6	Methods of solution of linear equations.
7	Direct methods: Cramer, elimination and cut methods
8	Mid-term exam.
9	Methods of Approach
10	Computer application.
11	Interpolation
12	The least squares method
13	Numerical integration.
14	Computer application

General Sufficiency

Knowing the basic concepts of numerical analysis, numerical processing errors, matrices, eigenvalues, eigenvectors, linear equations solution methods, numerical integration and differentiation to be informed about issues.

References

1. Sayısal Analiz ve Mühendislik Uygulamaları, İrfan KARAGÖZ, Uludağ Ü. Güç. Vakfı, 2001, Bursa- ISBN 975-564-115-7.

2. Sayısal Çözümleme, Prof. Dr. Ziya Aktaş, ODTÜ yayınları, 1981, ANKARA

3. Sayısal Analiz, Prof. Dr. Behiç ÇAĞAL, Birsen Yayınevi, 1989, İstanbul- ISBN 975-511-172-7

4. Bilgisayar Programları ile Sayısal Hesap, Prof. Dr. Nahit KUMBASAR, Doç. Dr. Sumru PALA,..., TMMOB İnşaat Müh. Odası İstanbul Şb, 1992, İstanbul.

Form of Assessment

Mid Exam and Task/Project Average of Arithmetical: %40

Final:%60

Projects:-

Homework: -