NUMERICAL ANALYSIS DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MTH219	NUMERICAL ANALYSIS	5	3	3	5

DERS BİLGİLERİ
Dersin Öğretim Dili :	İngilizce
Dersin Düzeyi	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü	Zorunlu
Dersin Veriliş Şekli	-
Dersin Koordinatörü	Assist.Prof. OĞUZHAN ÖZTAŞ
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	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.
İçerik:	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.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
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

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
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	-

KAYNAKLAR
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.

ÖLÇME VE DEĞERLENDİRME
Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi	Etkinlik Sayısı	Katkı Yüzdesi	Açıklama

(0) Etkisiz	(1) En Düşük	(2) Düşük	(3) Orta	(4) İyi	(5) Çok İyi
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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.

DERSİN İŞ YÜKÜ VE AKTS KREDİSİ
Öğrenme-Öğretme Etkinlikleri İş Yükü
Öğrenme-Öğretme Etkinlikleri	Etkinlik(hafta sayısı)	Süresi(saat sayısı)	Toplam İş Yükü
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