COURSE SYLLABUS

NUMERICAL ANALYSIS

1	Course Title:	NUMERICAL ANALYSIS
2	Course Code:	TEK3081
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	3
6	Semester:	5
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	2
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	No
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Dr. Ögr. Üyesi EROL SOLMAZ
16	Course Lecturers:	Prof.Dr. İrfan Karagöz Yrd.Doç.Dr. Erol Solmaz
17	Contactinformation of the Course Coordinator:	karagoz@uludag.edu.tr 40018
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

Learning Outcomes:

1	Be familiar with matrix operations.;
2	Be able to use numerical methods to solve linear and nonlinear algebraic equations.;
3	Ability to interpolate any data.;
4	Ability to differentiate and integrate any data, numerically;
5	Ability to solve numerically ordinary differential equations.;
6	Ability to explain the advantages and disadvantages of alternative numerical methods.;
7	Be able to make the computer implementation of these numerical methods to solve fundamental and practical engineering problems and to develop programming skills.;
8	Ability to recognize the importance of errors and be able to estimate the errors in numerical solution.;

22	Course Content:

Week	Theoretical	Practical
1	Overview of numerical methods, their potential and limitations Approximations and errors.
2	Solution of the systems of linear equations, Direct methods: Gaussian elimination, Gauss Jordan elimination,
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.
5	Simple iteration and Newton-Raphson methods, Quiz 1
6	Systems of nonlinear equations, Newton method,
7	Finite differences and Interpolating polynomials
8	Lagrange interpolation, spline interpolation,
9	Numerical differentiation.
10	Repeating courses and midterm exam
11	Numerical integration. Newton-Cotes integration of equations. Multi variable integration, Improper integrals.
12	Numerical solution of ordinary and partial differential equations. Taylor's expansion method,
13	Euler's method, Runge-Kutta methods, Quiz 2
14	Systems of ordinary differential equations

23	Textbooks, References and/or Other Materials:	1. Sayısal Analiz ve Mühendislik Uygulamaları İrfan Karagöz, 3.baskı, Nobel yay., 2011 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	30
Quiz	2	20
Homeworks, Performances	0	0
Final Exam	1	50
Total	4	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

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