NUMERICAL ANALYSIS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH219	NUMERICAL ANALYSIS	5	3	3	5

GENERAL INFORMATION
Language of Instruction :	English
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. OĞUZHAN ÖZTAŞ
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To teach the students an introduction to the language, logic, and math of numerical methods as used in engineering and the sciences, an opportunity to learn how numerical analyses can be applied to a wide range of problems of importance in the sciences, industry, and society.
Contents of the Course Unit:	Description of Numerical Analysis and application of them particularly in engineering. Error analyses in numerical methods, analitical solutions, numerical methods for the solution of systems (lineer and non linear), approximation methods, interpolation, linear regression, numerical integration.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
The students who take the course will be able to; I. The fundamental knowledge of numerical analysis. II. The ability to use the knowledge about numerical methods in analyzing a problem. III. The ability to choose the right solution method for a particular event

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Literature Research	Introduction, Error in Numerical Analysis	Expression
2	Literature Research	Systems of Linear Equations, Matrix Algebra	Expression
3	Literature Research	Solution of Linear Equations Systems, Direct Methods, Cramer Method, Gauss Elimination	Expression
4	Literature Research	Gauss Jordan, LU Method	Expression
5	Literature Research	Doolittle Methods Cholesky Method	Expression
6	Literature Research	Jacobi Iterative Method	Expression
7	Literature Research	Gauss Siedel Iterative Method, Error Analysis of Linear Equations Systems	Expression
8	-	MID-TERM EXAM	-
9	Literature Research	Non Linear Equation Systems, Root Finding	Expression
10	Literature Research	Bisection and Newton Raphson Iteration Methods	Expression
11	Literature Research	Fixed Point Iteration	Expression
12	Literature Research	Approximation Methods, Interpolation, Interpolation Polynomials	Expression
13	Literature Research	Lagrange Interpolation, Newton Interpolation	Expression
14	Literature Research	Numerical Integration, Pivot Point, Interpolation, Short Presentations	Expression
15	Literature Research	Gaussian Quadrature and Gauss Legendre Integration Formulations, Extrapolation, Short Presentations	Expression
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
An Introduction to Numerical Methods and Analyses, James F. Epperson, John Wiley and Sons, 2001, ISBN:0471316474.
Sayısal Çözümleme, R. Tapramaz, Literatür yayıncılık, 2002, ISBN:0130126411
Nümerik Analiz, İ. uzun, Beta yayınları, 2004, 4. ISBN:9754869529
Mühendisler için sayısal yöntemler, Chaapra, S., C., Canale, R., P., Literatür Kitabevi, 2003, ISBN:0130126411.

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.
2	Designs a computer-aided conceptual model with modern techniques.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.
2	Identifies, models and solves computer engineering problems by applying appropriate analytical methods.
3	Determines and uses the necessary information technologies in an efficient way for engineering applications.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
2	Possess the ability to conduct effective individual study.
3	Takes responsibility as a team work and contributes in an effective way.

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	3	42
Preliminary & Further Study	14	2	28
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	0	0	0
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	2	2
Preparation for the Final Exam	1	30	30
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	20	20
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	32	0	124