NUMERICAL ANALYSIS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT219	NUMERICAL ANALYSIS	5	3	3	5

GENERAL INFORMATION
Language of Instruction :	Turkish
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. PERİ GÜNEŞ
Instructor(s) of the Course Unit	Assist.Prof. BAHADIR KOPÇASIZ-Assist.Prof. FERHAT KÜRÜZ
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To provide students with the language, logic and mathematics of numerical methods used in engineering and science, and to teach them how to use numerical methods to solve problems in a wide range of areas in science, industry and society.
Contents of the Course Unit:	Definition of Numerical Analysis and especially its use in engineering applications. Error analysis in numerical methods, analytical solutions, solutions of linear and nonlinear equation systems, 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)
Students taking this course will; I. Understand the fundamentals of numerical analysis. II. Have the ability to use numerical methods in the analysis of a problem in engineering. III. Have the ability to choose the right solution method for a particular topic.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Introduction, Errors in Numerical Operations	-
2	-	Matrix, Solutions of Linear Equation Systems, Introduction	-
3	-	Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method	-
4	-	Direct Methods II: Cholesky Method	-
5	-	Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions	-
6	-	Nonlinear Equations I: Finding the Root Interval, Bisection Method	-
7	-	Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method	-
8	-	MID-TERM EXAM	-
9	-	Approximation Method I: Interpolation, Interpolation Polynomials	-
10	-	Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation	-
11	-	Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods	-
12	-	Numerical Derivativaton II: First and second order derivatives	-
13	-	Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas	-
14	-	Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis	-
15	-	An overview	-
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 electrical and electronics science and relates them to the groundwork of electrical and electronics science.		1

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.						5

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 model related to electrical and electronics under reasonable constraints.	0
2	Designs a model related to electrical and electronics with modern techniques.	0

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

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.	0
2	Possess the ability to conduct effective individual study.	0
3	Takes responsibility as a team work and contributes in an effective way.			2

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.	0
2	Develops positive attitude towards lifelong learning.			2

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Communicates effectively by oral and/or written form and uses at least one foreign language.	0
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.	0

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess professional and ethical responsibility and willingness to share it.		1
2	Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.				3

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	1	14
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	14	1	14
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	1	1
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	46	0	123