COURSE SYLLABUS

NUMERICAL ANALYSIS

1	Course Title:	NUMERICAL ANALYSIS
2	Course Code:	MAT3044
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	3
6	Semester:	5
7	ECTS Credits Allocated:	5
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Dr. Ögr. Üyesi SERKAN SAĞIROĞLU
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	Dr. Öğr. Üyesi Setenay DOĞAN
18	Website:
19	Objective of the Course:	This course is designed to introduce engineering students to the numerical solutions of mathematical problems occurring in engineering and to improve their computer skills.
20	Contribution of the Course to Professional Development	This course introduces the importance of numerical solution method, basic mathematics basic learning; Comparative with analytical solutions, using numerical methods in programming to solve engineering problems and improving programming ability, effective use of ongoing software for engineering analysis.

Learning Outcomes:

1	Have an understanding of importance and fundamentals of numerical methods and their most important mathematical properties.;
2	Develop an understanding of the computer implementation of these numerical methods to solve fundamental and practical engineering problems and develop programming skills;
3	Have the ability of the efficient use of existing software packages developed for engineering analyses;

22	Course Content:

Week	Theoretical	Practical
1	Overview of numerical methods, their potential and limitations, computers and problem formulation. Approximations and errors.
2	Solution of the systems of linear equations, Direct methods: Gaussian elimination, Gauss Jordan elimination, and LU. Applications and exercises
3	Iterative methods for linear systems, simple iteration, Gauss-Seidel , relaxation.
4	Linear Independence, system condition, ill-conditioned equations, matrix inversion, Roots of Equations, linear interpolation. Applications and exercises
5	Newton-Raphson and Secant methods . Systems of nonlinear equations, Newton method
6	Finite differences and Interpolating polynomials
7	Lagrange interpolation. Applications and exercises.
8	Basic statistics, Curve fitting. Least-squares and linear regression. Nonlinear and multi variable regression.
9	Numerical differentiation. Applications and exercises.
10	Numerical differentiation. Applications and exercises.
11	Numerical integration.
12	Numerical solution of ordinary and partial differential equations. Initial and boundary value problems. Single step methods for ordinary differential equations: Taylor's expansion method,
13	Euler's method. Applications and exercises. Runge-Kutta methods, Multistep methods for ordinary differential equations.
14	High order ordinary differential equations and differential equation systems.

23	Textbooks, References and/or Other Materials:	1. Sayısal Analiz ve Mühendislik Uygulamaları İrfan Karagöz, Vipaş yay., 2001 2. Numerical Methods for Engineers S.C. Chapra and R.P. Canale, McGraw-Hill, 1998 3. Numerical Methods for Engineers and Scientists, J. Hoffman; McGraw-Hill,1993
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	20
Quiz	2	20
Homeworks, Performances	0	0
Final Exam	1	60
Total	4	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Exam
Information	In this course, a written or test-based exam is applied.

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High