SAYISAL ANALİZ DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT219	SAYISAL ANALİZ	4	3	3	5

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

AMAÇ VE İÇERİK
Amaç:	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.
İçerik:	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.

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

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

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	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.	0

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines			2

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems						5

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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

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	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