NUMERICAL ANALYSIS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT219	NUMERICAL ANALYSIS	4	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	Prof. OSMAN KOPMAZ
Instructor(s) of the Course Unit
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	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	A system, product or process has economic, environmental, social, political, ethical, health and safety, under realistic constraints and conditions such as feasibility and sustainability, Ability to design to meet requirements.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines			2

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems						5

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Awareness of having professional and ethical responsibilities.		1
2	Ability to communicate effectively verbally and in writing.		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.		1
2	Awareness of the necessity of lifelong learning and the ability to do so.		1
3	The ability to have knowledge about current/contemporary issues.			2
4	Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.				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